A particle is projected at a speed of 12 ms-1 up a straight inclined track. Whilst on the track the particle experiences a constant acceleration down the track of 5 ms-2. Find the length of time that the displacement of the particle up the track from the point of projection is greater than 8 metres.

Answers

Answer 1

The length of time that the displacement of the particle up the track from the point of projection is greater than 8 metres is 0.6 second.

What is the time of motion of the particle?

The length of time that the displacement of the particle up the track from the point of projection is greater than 8 metres is calculated as follows;

s = ut + ¹/₂at²

where;

s is the displacementu is the initial velocity of the particlea is the acceleration of the particlet is the time of motion

8 = 12t + ¹/₂(5)t²

8 = 12t + 2.5t²

2.5t² + 12t - 8 = 0

solve the quadratic equation using formula method;

a = 2.5, b = 12, c = -8,

t = 0.6 second

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Related Questions

which two criteria are least important for engineers to consider when developing a process to produce an important chemical

Answers

Answer:

Chemical engineering is a multi-disciplinary branch of engineering that combines natural and experimental sciences such as chemistry and physics, along with life sciences such as biology, microbiology and biochemistryplus mathematics and economics to design, develop, produce, transform, transport, operate

Explanation:

Answer:

A. the process needs to produce significant amounts of ammonia

C. the process needs to be able to be performed safely

Explanation:

a p e x

A bird lands on the back of a giraffe and eats ticks. What relationships exist among these organisms?
A
The bird and giraffe have a parasitic relationship, while the giraffe and tick have a mutualistic relationship.
B
The bird and giraffe have a mutualistic relationship, while the giraffe and tick have a parasitic relationship.
© Only mutualistic relationships exist among the giraffe, tick, and bird.
Only parasitic relationships exist among the giraffe, tick, and bird

Answers

Answer:

mutualistic relationship

Answer:

Explanation:

b

Explain the difference between transverse and longitudinal waves.

Answers

A transverse wave is a wave in which particles of the medium move in a direction perpendicular to the direction that the wave moves. Suppose that a slinky is stretched out in a horizontal direction across the classroom and that a pulse is introduced into the slinky on the left end by vibrating the first coil up and down. Energy will begin to be transported through the slinky from left to right. As the energy is transported from left to right, the individual coils of the medium will be displaced upwards and downwards. In this case, the particles of the medium move perpendicular to the direction that the pulse moves. This type of wave is a transverse wave. Transverse waves are always characterized by particle motion being perpendicular to wave motion.

A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves. Suppose that a slinky is stretched out in a horizontal direction across the classroom and that a pulse is introduced into the slinky on the left end by vibrating the first coil left and right. Energy will begin to be transported through the slinky from left to right. As the energy is transported from left to right, the individual coils of the medium will be displaced leftwards and rightwards. In this case, the particles of the medium move parallel to the direction that the pulse moves. This type of wave is a longitudinal wave. Longitudinal waves are always characterized by particle motion being parallel to wave motion.

Explain the difference between transverse and longitudinal waves.
Explain the difference between transverse and longitudinal waves.

Cadmium has eight naturally occurring isotopes. What do the isotopes have in common?
A.
atomic mass
B.
mass number
C.
number of protons
D.
number of neutrons

Answers

C, their number of protons is the same but the neutron numbers change (thats what makes them isotopes)

The isotopes of any element have same number of protons inside them.

What is Cadmium?

Cadmium is a chemical element with the symbol Cd and atomic number 48. It is soft, silvery and white metal.

Given is about Cadmium that it has eight naturally occurring isotopes.

Isotopes are the atoms of the same element which have same number of protons in them but the number of neutrons are different. Isotopes usually have same chemical properties, but they have different physical properties. Their can be stable and unstable isotopes. These unstable isotopes are also called radioisotopes, since they emit radiation. Thus, the isotopes have same number of protons.

Therefore, the isotopes of any element have same number of protons inside them.

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A 55 kg skater is gliding along the ice at a velocity of 8 m/s to the right while holding a 3 kg ball. The skater throws the ball at a velocity of 4 m/s to the right. What will be the skaters velocity after throwing the ball?

Answers

Answer:

Speed of Skater = 8.16 m/s

Explanation:

Using kinetic energy:

\(M_{t} = M_{skater} + m_{ball}\\\frac{1}{2}M_{t}V_{i}^2 = \frac{1}{2}*M*V_{s} ^2+\frac{1}{2}*m*V_{b}^2\\ M_{t}V_{i}^2 = M_{s}*V_{s} ^2+m_{b}*V_{b}^2\\M_{t}V_{i}^2-m_{b}*V_{b}^2 = M_{s}*V_{s} ^2\\(M_{t}V_{i}^2-m_{b}*V_{b}^2)/M_{s} = V_{s} ^2\\V_{s} = \sqrt{\frac{(M_{t}V_{i}^2-m_{b}*V_{b}^2)}{M_{s}} } \\\)

This gives the skater a velocity of 8.16 m/s after throwing the ball

Hi, can someone help me on solving this? (Rt is total resistance, It is total current and VT is total voltage)

Hi, can someone help me on solving this? (Rt is total resistance, It is total current and VT is total

Answers

Answer:

Below

Explanation:

You have total current correct   3 A    from the ammeter in the circuit.

Must find total resistance to calculate the Vt

  the two resistors in parallel =   12 * 6 / (12+6) = 4 Ω

     then add this equivalent R to the other R that is in series  

              8 + 4 = 12 Ω      < ====   Rt

then   Vt = It Rt

          Vt = 3 * 12 = 36 v

V1 = It R1 = 3 * 8 = 24 V

V2 and V3 are equal and would be the voltage left 36-24 = 12 v

     or you could calculate V2 and V3        V2 = V3 = It R = 3 ( 4 Ω) = 12 v

what us the average speed of a runner who run 122 meters in 20 seconds

Answers

6.1 meters per second

why does fiberglass insulation used in walls of houses often layered with shiny aluminum foil on one side

Answers

Answer:

Foil insulation can prevent radiant heat loss all year round. In summer, it can prevent heat from entering by reflecting sunlight. In winter, it can reflect heat back inside a room, keeping it warmer.

A radioactive substance has a decay constant equal to 5.6 x 10-8 s-1. S Part A For the steps and strategies involved in solving a similar problem, you may view the following Quick Example 32-11 video: What is the half-life of this substance?

Answers

To determine the half-life of a radioactive substance with a given decay constant, we can use the formula: t1/2 = ln(2)/λ
Where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant.


Substituting the given decay constant of 5.6 x 10-8 s-1, we get:
t1/2 = ln(2)/(5.6 x 10-8)
Using a calculator, we can solve for t1/2 to get:
t1/2 ≈ 12,387,261 seconds
Or, in more understandable terms, the half-life of this radioactive substance is approximately 12.4 million seconds, or 144 days.
It's important to note that the half-life of a radioactive substance is a constant value, regardless of the initial amount of the substance present. This means that if we start with a certain amount of the substance, after one half-life has passed, we will have half of the initial amount left, after two half-lives we will have a quarter of the initial amount left, and so on.

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Choose the law that BEST explains the example:

Throwing a ball with more force to increase acceleration is an example of Newton’s
first law?
2nd law
third law
none of these

Answers

First law I believe
first law would probably be the answer

you take a spectrum of a faraway galaxy and find that its hydrogen alpha line peaks at 6782 angstroms. what is its recessional velocity?

Answers

The recessional velocity is 9,771,241 m/s.

Step 1: The redshift of a faraway galaxy is determined by measuring the shift of its spectral lines compared to similar lines from nearby galaxies. The redshift is usually expressed as a ratio in terms of how much the wavelength of each line has shifted from its original value.

Step 2: The hydrogen alpha emission line has a known rest wavelength of 6562 angstroms. This means that the observed wavelength of 6782 angstroms is shifted from its rest wavelength by a factor of 1.03.

Step 3: The redshift of a galaxy can be converted into a recessional velocity in km/s by using the Hubble Law, which states that the recessional velocity of a galaxy is proportional to its redshift.

Step 4: To calculate the recessional velocity, the formula V = H0 x z is used, where V is the recessional velocity, H0 is the Hubble Constant, and z is the redshift.

Step 5: The Hubble Constant is currently estimated to be 70 km/s/Mpc, so using the formula, the recessional velocity of the faraway galaxy is 70 km/s/Mpc x 1.03 = 71.1 km/

Recessional velocity is the speed at which an object is moving away from an observer. This is typically measured in kilometers per second and is used to measure the expansion of the universe. It is calculated by measuring the wavelength shift of an object's light, which increases as the object moves away from the observer.

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True or false, anything can turn into a black hole.

Answers

Answer:

False. Not everything can turn into a black hole. The formation of a black hole requires a massive object, typically a star, to collapse under its own gravity. This collapse causes the object to become so dense that it creates a singularity, a point of infinite density at the center of the black hole, which is surrounded by an event horizon, the point of no return beyond which nothing, not even light, can escape. So, only objects with sufficient mass and gravity can become black holes.

Explanation:


The Sankey diagram below shows the energy transfers in a computer. 100 J of energy are input. It is carried to the computer by
What one word completes the sentence?

Answers

A sentence contains a full stop at the end

Convert this decimal into its fractional
form simplified completely.
0.350

Answers

Answer:

7/20

Explanation:

0.35 as a fraction =35/100

35/100 can b divided by 5 so =7/20

0.350 simplified as a fraction is 7/20

Answer:

7/20

Explanation:

when driving at night how does having the interior dome-light on affect your visibility

Answers

Interior dome light provide Glare and Contrast while driving at night and it also offers Adaptation to Darkness along with preventing Distraction.To ensure optimal visibility while driving at night, it is generally recommended to keep the interior dome light off or dimmed.

Glare and Contrast: When driving at night, it is important to have proper visibility to see the road, objects, and potential hazards.

Having the interior dome light on can create glare on the windshield or windows, which can reduce overall visibility by reducing contrast. Glare from the interior light can make it harder to see objects outside the vehicle, particularly in darker areas.

Adaptation to Darkness: Human eyes undergo a process called dark adaptation in low-light conditions, which allows them to adjust and see more clearly in the dark. The interior dome light, even if it is dim, can impede the dark adaptation process by providing a constant source of light, preventing the eyes from fully adjusting to the darkness outside the vehicle.

Distraction: The interior dome light can be distracting while driving at night, as it creates additional light sources inside the vehicle. This can divert attention from the road and decrease overall focus and reaction time.

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how can i shift? ive been trying for a year? ive done everything :/

Answers

You just really have to believe and keep trying. It’ll take time and lots of focus but stay relaxed

Answer

Explanation: Ok so I had a lot of trouble with this too. What I did was get some butter beans and put them under my pillow (If you don't have butter bens then butter works but must be unsalted country croks butter. I can't believe it's not butter will not work because the spirit people know and will put a spell on you. Then you get a 8lb. sweet potato and tie it to a piece of tweed and hand it on your fan at the highest setting until it flies out the string. Where ever it lands is where you sleep. Sleep with the potato where it landed. 30 minutes before you go to bed brush your teeth with a special drink.

Drink Ingredients:

2 spinach leaves

1 ounce of maple syrup

3 spoons of coco butter

1 rabbit ear

7 bear hairs

2 toe nail clipping form your dad (If you don't have one then I would give up)

When you drink this and go to sleep dream about the magical elves and eaves that will come to you in your dream. They'll give ask you a question where you will answer "Yes papas fritas"

A large disformed mutant will appear. Don't be afraid. Approach with confidence.

After that a glowing door will appear and BAM you're shifting.

*Pls note this could end in serious harm and danger I do not recommend attempting as it can result in death, a coma, or other injury. Have a Beautiful day :)

I’m on earth.I have an object with a mass of 15 kg. When I put it on a scale, what will the scale read?

Answers

Answer:

The scale will read 147N

Explanation:

The mass of the object, m = 15 kg

Since I am on the earth, the acceleration due to gravity on the earth is:

g = 9.8 m/s²

The scale will read the weight of the object, and is calculated below

The weight, W = mg

W = 15(9.8)

W = 147 N

Therefore, the scale will read 147N

If a vehicle is traveling 13 m/s, what is its velocity in miles per hour? (0.62 miles = 1.00 km)

Answers

The vehicle that is traveling  at a 13 m/s has a velocity expressed in miles per hour of: 29.016 miles/h

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

v = 13 m/sv = expressed in (miles/h) =  ?0.62 miles = 1.00 km

By converting the velocity units from  (m/s) to miles per hour (miles/h) we have:

v = 13 m/s * 1 km/1000 m * 0.62 miles/ 1 km * 3600 s/1 h

v = 29.016 miles/h

What is unit conversion?

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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If a vehicle is traveling 13 m/s, what is its velocity in miles per hour? (0.62 miles = 1.00 km)

a wave of amplitude 10 cm interferes with a wave of amplitude 15 cm. what is the maximum displacement that may result when they overlap?1.5 cm 05 cm 25 cm 150 cm.

Answers

When two waves interfere, the resulting displacement is determined by the principle of superposition, which states that the displacements caused by individual waves add up algebraically at each point of overlap. In the case of constructive interference, the waves are in phase, meaning their peaks and troughs align, resulting in an increase in the amplitude.

Here, we have a wave with an amplitude of 10 cm and another wave with an amplitude of 15 cm. To determine the maximum displacement that may result when they overlap, we need to consider the combined effect of their amplitudes. Since constructive interference occurs when the waves are in phase, the maximum displacement will be the sum of the individual amplitudes. Adding 10 cm and 15 cm yields a maximum displacement of 25 cm. Therefore, the maximum displacement that may result when the waves overlap is 25 cm. This signifies the peak combined effect of the two waves, resulting in a larger amplitude at specific points of overlap. i.e.,

the maximum displacement is given by:

Maximum displacement = Amplitude of Wave 1 + Amplitude of Wave 2

Maximum displacement = 10 cm + 15 cm

Maximum displacement = 25 cm

Therefore, the maximum displacement that may result when the two waves overlap is 25 cm.

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What is the theoretical prediction for the horizontal component of velocity (X-Velocity) as a function of time in a projectile motion without air resistance? a Decreasing b Constant, but non-zero value c Increasing d Constant and equal to zero

Answers

The theoretical prediction for the horizontal component of velocity (X-Velocity) as a function of time in a projectile motion without air resistance is constant, but non-zero value.

In a projectile motion without air resistance, the horizontal component of velocity remains constant throughout the motion. This is because there are no external forces acting on the object in the horizontal direction. Therefore, the horizontal component of velocity remains the same throughout the motion.

In contrast, the vertical component of velocity changes due to the force of gravity. The vertical component of velocity decreases as the object moves upward and increases as the object moves downward. However, the horizontal component of velocity remains constant throughout the motion.

Therefore, the correct answer is constant, but non-zero value.

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If one object has a greater mass than another
A. More force is required to movie it.
B. Less force is required to move it
C. The acceleration is greater
D. It has less inertia

Answers

Answer:

more force to move it

Explanation:

i would say based on mass of course itll be more.

Answer:

A

Explanation:

The heavier something is, it needs more force to push it

problem solving the united states has minted one-dollar silver coins called the american eagle silver bullion coin since 1986. each coin has a diameter of 40.6 millimeters and is 2.98 millimeters thick. the density of silver is 10.5 grams per cubic centimeter. what is the mass of an american eagle silver bullion coin to the nearest gram?

Answers

The mass of an American Eagle silver bullion coin is approximately 31 grams.

What is American Eagle silver bullion?

American Eagle Silver Bullion refers to a popular silver investment coin produced by the United States Mint. It was first introduced in 1986 as part of the American Eagle Bullion Program, which also includes gold and platinum coins. The American Eagle Silver Bullion coin contains one troy ounce of 99.9% pure silver and has a face value of one dollar.

To calculate the mass of the silver bullion coin, we need to find its volume and then multiply it by the density of silver. The volume of the coin can be calculated using its dimensions.

The coin has a diameter of 40.6 millimeters, which can be converted to centimeters by dividing by 10. Therefore, the diameter is 4.06 centimeters. The coin is 2.98 millimeters thick, which is equivalent to 0.298 centimeters.

The volume of a cylinder, which represents the coin, is given by the formula: volume = π × r² × h, where r is the radius and h is the height (or thickness) of the cylinder. The radius can be found by dividing the diameter by 2. So, the radius is 4.06 / 2 = 2.03 centimeters.

Using the values of radius (2.03 cm) and height (0.298 cm) in the volume formula, we can calculate the volume of the coin. Then, by multiplying the volume by the density of silver (10.5 grams per cubic centimeter), we can find the mass of the coin.

After performing the calculations, the mass of the American Eagle silver bullion coin is approximately 31 grams.

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The relative frequency of residents living in mobile homes in 2015 is?

Answers

The relative frequency of residents living in mobile homes in 2015 was 6.4%.

In 2015, approximately 6.4% of residents in the United States lived in mobile homes. This figure represents the proportion of people who chose mobile homes as their primary form of housing compared to other types of housing, such as single-family houses or apartments. Mobile homes, also known as manufactured homes, are prefabricated dwellings that are constructed in factories and transported to a designated site.

The relative frequency of residents living in mobile homes can vary from one region to another within the United States. Certain areas, such as rural communities or regions with a lower cost of living, may have a higher concentration of mobile homes. These areas may offer mobile homes as an affordable housing option for individuals and families.

There are several factors that contribute to the appeal of mobile homes as a housing choice. For some, the lower cost of purchasing a mobile home compared to a traditional house is a significant advantage. Additionally, mobile homes often provide flexibility in terms of location since they can be moved to different sites if necessary.

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A 5kg block is pushed 3m at a constant velocity up a vertical wall by a constant force applied at an angle of 37 degree with the horizontal, if the coefficient of kinetic friction between the block and the wall is 0.3. what is the work done by the force on the block?

Answers

The work done by the force on the block is:

\(W=135.41*3=406.23 \: J\)

The direction of motion here is in the y-direction, so we need to find the component of the force in this direction.

Using trigonometric functions:

\(F_{y}=Fsin(37)\)

This component is in the positive y-direction.

Now, there is a friction force between the block and the wall, so we need to find the friction force.

\(F_{f}=\mu N\)

Where:

μ is the coefficient of kinetic frictionN is the normal force (Here N = Fcos(37))

Let's use the first Newton's Law to get F.

F(y) is upward (+) and F(f) and the weight is downward (-).

\(F_{y}-F_{f}-W=0\)

\(F_{y}-F_{f}=mg\)

Factoring F in the left side:

\(F(sin(37)-\mu cos(37))=mg\)    

\(F=\frac{mg}{sin(37)-\mu cos(37)}\)  

\(F=\frac{5*9.81g}{sin(37)-(0.3*cos(37))}\)  

\(F=135.41\: N\)    

Therefore, the work done will be:

\(W=Fd\)  

\(W=135.41*3=406.23 \: J\)  

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A person can run 180 m in 488 s. At what speed are they running?

Answers

Answer:

22.1meter/min

Explanation:

Change 488s to min.

Speed= Distance÷Time

so 180m ÷ 122/15

= 22.1 (3s.f.) meter / min.

The enthalpy of formation of vacancies in pure copper is dh 1⁄4 86.9 kj mol 1. What is the fraction of sites vacant at 1084oc?

Answers

Enthalpy of formation of a substance is defined as the change in enthalpy when one mole of a substance is formed from its constituent elements in their standard states. In the case of vacancies in pure copper, the enthalpy of formation is given as 86.9 kJ/mol.

The fraction of sites vacant at a certain temperature can be determined using the Boltzmann distribution law, which states that the fraction of particles in a system with energy E is proportional to e^(-E/kT), where k is the Boltzmann constant and T is the temperature in kelvin.

To find the fraction of vacant sites, we need to calculate the energy required for a vacancy to form, which is given by the enthalpy of formation. We can then use this energy in the Boltzmann distribution equation to find the fraction of sites that are vacant at a given temperature.

At 1084°C, the temperature in kelvin can be calculated as 1084°C + 273.15 = 1357.15 K. Substituting this value and the enthalpy of formation into the Boltzmann distribution equation gives us the fraction of sites that are vacant.

However, this calculation is only a rough estimate and real systems are more complex. Factors such as the presence of impurities, lattice defects, and external influences can affect the fraction of vacant sites and cannot be accounted for by this simple calculation.

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Without direction, instructions to get someplace would not make

sense.

true

or

false

Answers

The given statement is true. We need direction to get to someplace, because without direction, instructions to get someplace would not make sense.

Why is direction important?

Direction is the way that you need to travel to get from one place or object to another place or object. It's usually measured in terms of compass directions: East, West, North, and South. Direction is the most important thing you need to know when you're lost.

Direction is used to find out where things are in relation to other things. Occasionally, direction is vague, as if we talk about things being in the common direction. For geographic purposes, direction is more specific. Direction can describe position, like in the sentence Ani sits to the right of Budi.

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A car weighs 2,000 kg. It moves along a road by applying a force on the road with a parallel component of 560 N. There are two passengers in the car, each weighing 55 kg. If the magnitude of the force of friction experienced by the car is 45 N, what is the acceleration of the car?

Answers

Answer:

The acceleration of the car is 4.10 m/s².

Explanation:

The acceleration of the car can be found using the following equation:

\( F = ma \)    (1)

Where:

F is the force

m is the mass

a is the acceleration

The force is:

\(F = F_{p} - F_{f}\)   (2)

Where:

F(p) is the parallel force = 560 N

F(f) is the force of friction = 45 N

By entering equation (2) into (1) we have:

\(F_{p} - F_{f} = (m_{c} + m_{p}*2)a\)

\( 560 N - 45 N = (2000 kg + 55*2 kg)a \)

\( a = \frac{2000 kg + 55*2 kg}{515 N} = 4.10 m/s^{2} \)

Therefore, the acceleration of the car is 4.10 m/s².

I hope it helps you!

Please help:)
The diagram shows the position of the principal lines in the visible spectrum of atomic hydrogen
and some of the corresponding energy levels of the hydrogen atom. Determine the energy of a photon of blue light (435nm) emitted in the hydrogen spectrum

Please help:)The diagram shows the position of the principal lines in the visible spectrum of atomic

Answers

The energy of the photon of blue light is  4.55 × 10^-19 J. Blue light is in the visible spectrum.

Using the formula;

E = hc/λ

E = energy of the photon = ?

h = Plank's constant = 6.6 × 10^-34 Js

c = Speed of light = 3 × 10^8 m/s

λ = wavelength of light = 435nm or 435  × 10^-9 m

Substituting values;

E =  6.6 × 10^-34 Js ×  3 × 10^8 m/s/435  × 10^-9 m

E = 4.55 × 10^-19 J

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a rock hits the ground at a speed of 15 m/s and leaves a hold 50 cm deep. after it hits the ground, what is the magnitude of the rock's (assumed) uniform acceleration?

Answers

The magnitude of the rock's (assumed) uniform acceleration is v² - 225.

Initial speed, u = 15 m/s

Displacement, s = 50 cm = 0.5 m

Magnitude of acceleration, a = ?

We know, v² - u² = 2as

Let's substitute the given values into the above formula. v² - u² = 2as (v is the final velocity)

Final velocity, v = ?u = 15 m/s (Initial velocity)

s = 0.5 m (Displacement)

a = ?

v² - u² = 2as (v² - u²)/2s = a(v+u)/2(a = (v² - u²)/2s)

(a = (v² - u²)/2s)(a = (v² - (15 m/s)²)/2(0.5 m))(a = (v² - 225)/1)(a = v² - 225)

Therefore, the magnitude of the rock's  uniform acceleration is v² - 225, given that a rock hits the ground at a speed of 15 m/s and leaves a hold 50 cm deep after it hits the ground.

The magnitude of the rock's  uniform acceleration is v² - 225.

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How many terms are in the expression 4x 5? ________ is a memory store with a phonological loop, visuospatial sketchpad, episodic buffer, and a central executive. Write the converse.If a figure is a square, then it has four sides. A. If a figure has four sides, then it is a square. B. If a figure has four sides, then it is not a square. C. If a figure does not have four sides, then it is a square. D. If a figure does not have four sides, then it is not a square. 1) Let A = {x,y,z}. Give a function f : A A which is neither constant nor the identity function 1A. (2) Give a function g : R {1,0,1} which is not constant. (3) Give a function h : Q Z whose image is Z. the peace of utrecht, which brought an end to the twelve year-long war of spanish succession, proposed to maintain the balance of power within europe by... People are able to hear footsteps because the sound made by a foot hitting the floor travels through the air to reach their ears. When light from the sun hits the sidewalk, the sidewalk becomes warmer. Drivers are able to see objects ahead of them because light travels through windshields. Cooking in a microwave oven is possible because of . 1/3d + 10 = 3/5dplz help i will give u 5 stars how much heat is needed to change 18.0 gg of mercury at 20c20c into mercury vapor at the boiling point? da. Ifession5 Mario drew a line on the wall to measure hisheight, but the measuring tape he used wasmarked only in metric units. If he measured hisheight to be 127.5 centimeters, how tall isMario in feet and inches?(1 centimeter -0.4 inch)A 51 ftB 5 ft 1 in.C4 ft 3 in.D Not here convolution, Fourier series representation problemsw 32. Use the convolution theorem to solve the integral equation: y(t) = ? + - sinht sinh(t - A)g()dx 33. Find the Fourier series representation of f(x) given that f(x) = -{: -1, - < x < 0 , 0 what are the similarities between this activity and actual mitosis A collection of nickels and dimes is worth $2.90. There are 19 more nickels than dimes. How many of each are there Plz help its a quick questionx^5 . x^7 in 1798, the english economist thomas malthus predicted that: group of answer choices countries with a large supply of natural resources would always enjoy economic growth. rising population growth would cause productivity to fall. the french revolution would improve the economies of most european countries. the recently independent american colonies would rejoin the british empire out of economic necessity. This isn't urgent but I need help and I will give Brainliest Promise!How do you write the rate of change and if you can find it for D. (the graph) in the picture? Your organization is considering virtualization solutions. Management wants to ensure that any solution provides the best ROI. Which of the following situations indicates that virtualization would provide the best ROI?a. Most desktop PCs require fast processors and a high amount of memory.b. Most physical servers within the organization are currently underutilized.c. Most physical servers within the organization are currently utilized at close to 100 percent.d. The organization has many servers that do not require failover services. how is retirement planning different for young adults today from past generations? Find NP NP=1.6NP=1NP=1.25NP=2 explain in your own words the meaning of the terms consumer and producer surplus. 2 2/3 x64 come on i give you lot of points