A student holds a water balloon outside of an open window and lets go. The window is 10 meters above the ground, and the balloon is falling under the acceleration of gravity, which is 9.8 m/s2. There are two equations that can be used to describe its motion over time:
x=x0+v0t+12at2
v=v0+at
Would the balloon hit the ground before or after 1.0 s of falling? Which equation did you use to decide, and what comparison did you make to determine that it would or would not hit the ground by then?
Use 3–5 sentences to explain your reasoning.
Answers
The water balloon that is dropped by the student 10 meters above the ground, will hit the ground after 1.0s of falling (in 1.4 s).
To find the time we need to use the equation that related the time with the height and the acceleration due to gravity, that is to say, the first equation from the two given, but in the vertical direction:
\( y_{f} = y_{0} + v_{0}t + \frac{1}{2}at^{2} \) (1)
Where:
\( y_{f}\): is the final height = 0
\( y_{0}\): is the initial height = 10 m
\( v_{0}\): is the initial velociy = 0 (it is dropped)
a: is the acceleration due to gravity = -9.8 m/s² (it is negative because its direction of motion is downward)
t: is the time =?
Solving equation (1) for t, we have:
\( 0 = 10 m - \frac{1}{2}gt^{2} \)
\( t = \sqrt{\frac{2*10 m}{9.8 m/s^{2}}} = 1.4 s \)
Therefore, the ballon will hit the ground after 1.0s of falling.
We used the first given equation but in the y-direction, because the equation x=x₀+v₀t+(1/2)at², considers a motion in the horizontal direction, and the ball is falling (y-direction). We did not use the other equation (v = v₀ + at) because we do not know the final velocity of the ball before it hits the ground (v).
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Answer:
The time it takes for the balloon to hit the ground is 1.4 seconds. So the answer is the balloon would hit the ground after 1.0 s of falling.
Explanation:
The answer can be found by using the equation \(x=x_{0}+v_{0}t+\frac{1}{2}at^{2}\)
The first step is to identify what each value is and the information we are provided with:x is the position; the balloon falls to the ground, so \(x = 0\)
x0 is the initial position; the balloon is 10 meters high, so \(x_{0} = 10\)
t is the time; we are solving for time
a is the acceleration; in this case it is gravity (9.8 m/s^2), so \(a = 9.8\)
*we do not need v0, or initial velocity, for this problem
The next step is to input the information into the equation:the equation now looks like this \(0=10-(\frac{1}{2}9.8)t^{2}\)
**because the acceleration is gravity and the balloon is falling downwards, the acceleration becomes negative (-9.8 m/s^2)
Steps to solving this equation:1) multiply 9.8 by 1/2 inside the parenthesis
\(0=10-(\frac{1}{2}9.8)t^{2}\)
\(0=10 -(4.9)t^{2}\)
\(0=-4.9t^{2} + 10\)
2) add 4.9t^2 to both sides of the equation
\(4.9t^{2} = 10\)
3) divide both sides by 4.9
\(\frac{4.9t^{2}}{4.9}= \frac{10}{4.9}\)
\(t^{2} = 2.040816\)
4) find the square root
\(\sqrt{t} = \sqrt{2.040816}\)
\(t=1.4\)
This is how we can use the equation \(x=x_{0}+v_{0}t+\frac{1}{2}at^{2}\) to find the answer 1.4 seconds.
the balloon hits the ground after falling for 1.4 seconds.
Related Questions
Which kind of wave interaction is shown?
Answers
Answer:
where?
Explanation:
ill edit my answer when see it
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
Answers
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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Two identical balls are thrown directly upward, ball A at speed v and ball B at speed 2v, and they feel no air resistance. Which statement about these balls is correct
Answers
Answer:
B) Ball B will go four times as high as ball A because it had four times the initial kinetic energy.
Explanation:
The complete question is
Two identical balls are thrown directly upward, ball A at speed v and boll B at speed 2v. and they feel no air resistance. Which statement about these balls is correct? A) Ball B will go twice as high as ball A because it had twice the initial speed. B) Ball B will go four times as high as ball A because it had four times the initial kinetic energy. C) The balls will reach the same height because they have the same mass and the same acceleration. D) At its highest point, ball B will have twice as much gravitational potential energy as ball A because it started out moving twice as fast. E) At their highest point, the acceleration of each ball is instantaneously equal to zero because they stop for an instant.
According to conservation of energy, the mechanical energy of a ball thrown up is equal to the sum of the potential energy and the kinetic energy. At its highest point, all the mechanical energy will be equal to the potential energy. At the instant when it was thrown, all the mechanical energy is proportional to its kinetic energy, which will be proportional to the potential energy at the highest point. Also, potential energy is proportional to the maximum height reached.
We know that the kinetic energy is given as \(\frac{1}{2}mv^{2}\)
where
m is the mass of the balls, which is the same for both ball,
and v is the velocity.
We can see that the kinetic energy is proportional to the square of the initial velocity with which the ball is thrown.
For the ball A thrown with velocity v, the kinetic energy is proportional to \(v^{2}\),
and for the ball B with velocity 2v, kinetic energy is proportional to \(4v^{2}\)
comparing the two, we'll see that the ball B will had 4 times the energy of ball A. Therefore ball B will go four times as high as ball A because it had four times the initial kinetic energy
Iron is attracted to magnets and rusts when in the presence of oxygen. Which is true about these properties of iron?
Answers
Iron forms an oxide when exposed to air is a true property about this element.
What is Iron?This is an element which has magnetic properties and forms an oxide when exposed to air.
Iron forms ferric oxide in the presence of oxygen which is the brown like color seen in the form of rust.
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Question 20
An 10,000.0 kg truck starts off from rest and reaches a velocity of 16.1 m/s in 4.6
seconds.
What is the truck's accelerſation? Round your answer to one decimal.
Answers
Answer:
\(\huge\boxed{\sf a = 3.5 \ m/s^2}\)
Explanation:
Given data:Initial velocity = \(V_i\) = 0 m/s
Final velocity = \(V_f\) = 16.1 m.s
Time = t = 4.5 seconds
Required:Acceleration = a = ?
Formula:\(\displaystyle a = \frac{V_f-V_i}{t}\)
Solution:Put the given data in the above formula.
\(\displaystyle a = \frac{16.1-0}{4.6} \\\\a = \frac{16.1}{4.6} \\\\a = 3.5 \ m/s^2\\\\\rule[225]{225}{2}\)
A pendulum in motion can either swing from side to side or turn in a continuous circle. The point at which it goes from one type of motion to the other is called the separatrix, and this can be calculated in most simple situations. When the pendulum is prodded at an almost constant rate though, the mathematics falls apart. Is there an equation that can describe that kind of separatrix?
Answers
The kind of equation that can be used to differentiate the kind of separatrix that shows change on motion is
H = 2g/l.
What is simple pendulum?A simple pendulum can be defined as the equipment that displays an oscillatory motion when a mass is tied on a rope and is suspended from it.
The various movements that occur using a simple pendulum is translational ( side to side) or continuous circle (oscillatory motion).
The equation that show that a change from one type of motion to another is H = 2g/l.
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Becoming informed about economics helps a person understand the reasons a command economy is ideal. role of government in regulating production. why consumers receive tax revenue. reasons an economy must always be completely regulated. Mark this and return
Answers
Answer:
Role of government in regulating production
Explanation:
The role of government in regulating show , provides the legal and social framework, uphold competition, provides public goods and services.
What is the role of economics in the community?The community's role in conserving and enhancing common-property resources is well known.
In extra, its role in helping market growth by its power to execute trade agreements among transacting parties belonging to the community network is stressed.
Thus, it provides the legal and social framework, maintains competition, and provides public goods and services.
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to make slime stretchy is by putting more glue and aclohal then mix it
Answers
A car slows from a velocity of 26m/s to 18m/s in a distance of 52 meters. What was the cars acceleration
Answers
Recall that
v² - u² = 2 a ∆x
where u and v denote initial and final velocities, respectively; a is acceleration; and ∆x is the distance traveled.
Then we get
(18 m/s)² - (26 m/s)² = 2 a (52 m)
a = ((18 m/s)² - (26 m/s)²) / (104 m)
a ≈ -3.4 m/s²
A convex lens has a focal length of 0.33 m. The object distance is 0.7 m. What is the image distance?
Answers
Answer:
Explanation:
1/v - 1/u = 1/f
given, f = 0.3 m, u = -0.4m
so, 1/v - 1/-0.4 = 1/0.3
or, 1/v = 1/0.3 - 1/0.4 = 1/1.2
v = 1.2 m
now, differentiating 1/v - 1/u = 1/f with respect to t,
-1/v² dv/dt + 1/u² du/dt = 0
or, dv/dt = (v/u)² du/dt
putting, du/dt = 0.01 m/s , v = 1.2 m and u = -0.4 m
so, dv/dt = (1.2/-0.4)² × 0.01
= 0.09 m/s
hence, speed of image with respect to lens is 0.09 m/s .
from formula of magnification
magnification, m = v/u
differentiating with respect to time both sides,
dm/dt = (u dv/dt - vdu/dt)/u²
= (-0.4 × 0.09 - 1.2 × 0.01)/(-0.4)²
= (-0.036 - 0.012)/0.16
= -0.048/0.16
= -0.3 m/s
hence, magnitude of rate of change of lateral magnification is 0.3 m/s
Researchers studying the possible effects of “heading” a soccer ball--hitting it with the head--use a force plate to measure the interaction force between a ball and a hard surface. (Figure 1) shows smoothed data of the force when a 430 g
soccer ball is fired horizontally at the force plate with a speed of 15 m/s
With what speed does the ball rebound from the plate?
Answers
The speed of the ball rebounding from the plate is approximately 13.2 m/s.
According to the graph, the greatest force exerted by the football on the force plate during impact is around 1900 N. The ball comes to a halt on the force plate before rebounding.
The kinetic energy of the ball before impact equals the kinetic energy of the ball after the rebound, according to the law of conservation of energy.
The speed of the ball rebounding can be calculated using the formula:
(1/2)mv²= (1/2)mv_0²
where m is the mass of the ball (0.43 kg), v is the speed of the ball rebounding, and v_0 is the initial speed of the ball (15 m/s).
Solving for v, we get:
v = sqrt(v_0² - (2F/m))
where F is the maximum force exerted on the force plate (1900 N).
Plugging in the values, we get:
v = sqrt(15² - (2*1900/0.43)) ≈ 13.2 m/s
Therefore, the speed of the ball rebounding from the plate is approximately 13.2 m/s.
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Why is it that, when we observe an extragalactic source whose diameter is about one lightday, we are unlikely to see fluctuations in light output in times shorter than about one day
Answers
The reason why we are unlikely to see fluctuations in light output in extragalactic sources with a diameter of about one light day over timescales shorter than about one day is due to the size and distance of the source, as well as the speed of light.
How to observe extragalactic sources whose diameter is about one light day?When we observe an extragalactic source with a diameter of about one light day, we are essentially observing light that has traveled a very long distance through space to reach us. This light may have originated from a region of the source that is changing in brightness or emitting intense bursts of light, but by the time the light reaches us, these fluctuations are smeared out over a longer period of time due to the speed of light.
For example, if the source were emitting a burst of light that lasted for only a few hours, by the time that light travelled a distance of one light day (which is about 25 billion miles or 40 billion kilometres), the burst would be spread out over a longer period of time. This is because the light emitted at the beginning of the burst would have already traveled a significant distance away from the light emitted at the end of the burst by the time it reached us. As a result, we would observe the burst as a more gradual increase and decrease in light output over a period of several days, rather than a sharp increase and decrease over a few hours.
In addition, the turbulent interstellar and intergalactic media that the light passes through can also scatter and delay the light, further smearing out any short-term fluctuations in light output. This effect is known as interstellar scintillation and can make it even more difficult to observe short-term variations in the light output of extragalactic sources.
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which items are matter?
Answers
Answer:
which items are matter?
battery , mobile phone
Which bibliographic description for a book is correct, based on the Harvard Method in your study guide?
Answers
An annotated bibliography is a list of citations to books, articles, and documents. Each citation is followed by a brief descriptive and evaluative paragraph, the annotation. The purpose of the annotation is to inform the reader of the relevance, accuracy, and quality of the sources cited.
The cue column is typically located on the left-hand side of the page and is used to jot down keywords or questions that serve as cues for recalling the main points of the lecture or reading. The note-taking area is located on the right-hand side of the page and is used to write down detailed notes about the lecture or reading.
The summary section is located at the bottom of the page and is used to summarize the key points of the notes. Overall, the Cornell method is an effective way to organize and retain information during lectures and readings.
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The batter swings his bat 1.8 meters in 0.1 seconds. How fast is his bat speed in meters per second?
Answers
Answer:
18 m/s
Explanation:
1.8 meters / 0.1 seconds = 18 m/s
7 , 1 , 5 , 3 , multiple choice quiz is on apex
Answers
From the histogram given, there were at approximately 7 downloads between 3pm and 4pm . This can be derived by counting the rows in that time period.
What is a histogram?A histogram is a graph that depicts the frequency distribution of a few data points from a single variable.
Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.
Histograms are frequently used to depict the key properties of data distribution in a handy format. It is especially beneficial when working with huge data sets (more than 100 observations). It can aid in the detection of uncommon observations (outliers) or gaps in the data.2
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Forced response is just the current or voltage that occures due to an input voltage or current.
a. True
b. False
Answers
Answer:
Option B
Explanation:
Generally
The forced response of a system is what the circuit does with the sources turned on, but with the initial conditions set to zero.
Therefore
Option B
Say an impulse is applied opposite the go-kart's direction of travel. What happens to
the go-kart if its momentum + impulse = 0?
The go kart stops comes to a stop.
The go kart slows down but keeps moving.
The go kart speeds up.
There is no change in the speed of the go kart.
Answers
If the impulse is strong enough and lasts for a sufficient amount of time, the go-kart will eventually come to a stop.
Option A is correct.
What is meant by impulse?impulse is described as the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity.
If the force is insufficient to stop the go-kart entirely, it will slow down but continue to move. The force and duration of the impulse, along with the mass and speed of the go-kart, will all affect how much deceleration occurs.
Given that momentum plus impulse equals zero, the go-kart's change in momentum as a result of the impulse will be equal in amount but will move in the opposite direction of its original momentum.
As a result, the go-kart's final momentum will be zero, suggesting that it has either stopped or is travelling very slowly.
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A stone whirled at the end of a rope 30cm long makes 5revs. Find the linear speed?
Answers
The stone moves at a linear speed of 9.42 m/s.
How is linear velocity determined?Where v stands for speed, d for distance, and t for time, the equation for linear velocity is v = d/t. The SI unit for linear velocity is the metre per second, abbreviated as m/s (ms-1).
The circumference of the circle the stone traces and the distance the stone travels in one revolution are equal.
C = 2πr
where r is the rope's length. If we substitute r = 30 cm, we obtain:
C = 2π(30 cm) ≈ 188.5 cm
As a result, one revolution of the stone moves it approximately 188.5 cm.
The stone moves a total of five times, covering the following distance:
d = 5(188.5 cm) = 942.5 cm
v = d/t
Let's say the stone makes 5 revolutions in t seconds. The linear speed is then:
v = d/t = 942.5 cm/t
To obtain the answer in milliseconds, we can convert the quantities to metres and seconds:
v = 9.425 m/t
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an aluminum atom has an atomic number of 13 and a mass number of 27,how many
a)protons
b) electrons
pls write the formula too
Answers
Element is
\(\boxed{\sf {}^{27}Al_{13}}\)
Atomic number=13Mass number=27\(\\ \sf\longmapsto No\:of\:Protons=Atomic \:Number=13\)
And\(\\ \sf\longmapsto No\:of\:Neutrons=Mass\:number-Atomic\:Number\)
\(\\ \sf\longmapsto No\:of\:Neutrons=27-13\)
\(\\ \sf\longmapsto No\:of\:Neutrons=14\)
And
\(\\ \sf\longmapsto No\:of\:electrons=No\:of\:Protons=13\)
How long( in hours, will it take for 500 000 C of charge to flow through a diode if it requires
0.05 Amp to operate it.
Answers
Answer:
277.78 hours
Explanation:
The formula for calculating the amount of charge is expressed as;
Q = It
I is the current
t is the time
Given
I =0.05A
Q = 50,000C
Required
Time t
Recall that: Q = It
t = Q/I
t = 50,000/0.05
t = 1,000,000secs
Convert to hours
1,000,000secs = 1,000,000/3600
1,000,000secs = 277.78 hours
Hence it will take 277.78 hours for the charge to flow through the diode
Given that the frequency of an EM wave is 4THz, what is its wavelength?
Answers
Answer:
The wavelength of the EM wave is 7.5 * 10⁻⁴ m
Explanation:
The velocity of a wave is related to its wavelength by the following formula;
velocity = wavelength * frequency
For an electromagnetic (EM) wave, its velocity is equal to the velocity of light, c = 3.0 * 10⁸ m/s
Given that the frequency and veloity of the given EM wave in the question is known, its wavelength is calculated as follows:
wavelength = velocity/frequency
where velocity of the EM wave = 3.0 * 10⁸ m/s;
frequency = 4THz = 4 * 10¹² Hz
wavelength = 3.0 * 10⁸m/s / 4 * 10¹² Hz
wavelength = 7.5 * 10⁻⁴ m
Therefore, the wavelength of the EM wave is 7.5 * 10⁻⁴ m
Answer:
The wavelength is 7.5 x 10^-5m
1. A charge of 6.4 C passes through a cross-sectional area or conductor in 2s. How much charge will pass through a cross sectional area of the conductor in 1 min?
Answers
The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.
What is the amount of charge?
We can use the formula Q = I * t,
where;
Q is the amount of charge, I is the current, and t is the time.Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:
I = Q / t = 6.4 C / 2 s = 3.2 A
So, the current through the conductor is 3.2 A.
To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:
Q = I * t = 3.2 A * 60 s = 192 C
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Aballisprojectedverticallyupwardswithaninitialvelocityofugoestoa
maximumheighthbeforecomingtoground.Whatisthevalueofh?
Answers
The cycling of the air is a natural phenomenon as shown above is the result of
Answers
Answer:
natural convection
............
2. The diagram below shows two charged spheres that are separated by a distance of 3.8 x 104 m.
What is the force between the two spheres, and is it attractive or repulsive? SHOW ALL WORK
- 3.8 X 10-4 m
K
A
5.2 X 10-6 C
B
-6.2 x 10-6 C
Answers
The charges are of the same type. As a result, any force exerted between them will be repulsive.
What exactly is force?
Force is an influence that causes an object to accelerate, decelerate, or change its direction of motion. It is a vector quantity, meaning it has both magnitude (strength) and direction. Examples of forces include gravity, friction, electromagnetic fields, and the applied force of pushing or pulling on an object.
The charges of the same nature repel each other because of the electrostatic force of repulsion. This is because like charges have the same sign and the electrostatic force of repulsion between them is stronger than the attraction between opposite charges. This repulsive force increases as the distance between the charges decreases. This is why two objects with the same charge will be pushed away from each other.
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Which trait do you think is most important for a boss or supervisor to have?
Answers
Answer:
A high EQ (emotional intelligence)
In today's transitioning workplace, having a high EQ is the most important trait of a good boss. Bosses must be able to discern between their own personal beliefs and the thoughts and beliefs of others, and other generations (boomers, Gen X, xennials, millennials and now Gen Z).
Explanation:
hope it helps you
Telescopes work by using optics with true or false
Answers
Answer: true
its making me add 20 word so here they are g g g g g g g gg g t
Answer: its FALSE
Explanation:
Telescopes work by using optics with light is false, just took the quiz.
What is the size of the image on the retina of a size object 1.5 cm, placed at a distance (120 cm) away? Take the .lens-to-retina distance to be 2 cm
Answers
Answer: 0.025 cm
Explanation:
The image distance must match the distance between the lens and the retina for clear vision. Consequently, the image distance is v = 2 cm
The magnification of the lens is given by
m = v/u = h'/h
Where h' is the height of the imagev/u = h'/ h
h' = ( v/u ) × h
h' = ( 2cm /-120cm ) × 1.5cm
h' = - 0.025cm
Therefore, the height of the image is 0.025 cm
A train is moving at a velocity of 15 m/s is accelerated to 24 m/s over a 12 second period. What is the trains acceleration?
Answers
Answer:
Explanation:
velocity = 15 m/s
accelerated to = 24 m/s
time = 12 seconds
a = acceleration
u = final velocity
u0 = starting velocity
t = time
a = u - u0 = t
a = (24 m/s - 15m/s) / 12 s = (9 m/s) / 12 =0,75 (m*s^2)