There are two wells 300 meters away from a lake. The first well has a depth to water at 4m below the water level of the lake. The other well is 250m from the first one. There is no groundwater gradient, determine the pumping rate. The transmissivity is 4e-2 m2/day and we are under steady-state flow. (Hint: use the thiem equation)
Answers
The pumping rate can be determined using the Thiem equation. With the given parameters, including distance between wells, depth to water, and transmissivity.
To determine the pumping rate using the Thiem equation, we need to calculate the hydraulic conductivity (K) and the drawdown (s).
Given:
- Distance between the wells (r1): 300 meters
- Depth to water in the first well (h1): 4 meters
- Distance between the second well and the first well (r2): 250 meters
- Transmissivity (T): 4e-2 m²/day
First, let's calculate the drawdown (s) at the first well using the formula:
s = h1 - (r1 * r2 * T) / (2 * pi)
s = 4 - (300 * 250 * 4e-2) / (2 * pi)
Now, we can calculate the pumping rate (Q) at the first well using the Thiem equation:
Q = (2 * pi * T * s) / ln(r1/r2)
Q = (2 * pi * 4e-2 * s) / ln(300/250)
By substituting the calculated value of s into the equation, we can find the pumping rate (Q).
Please note that the units used for T and r (distance) should be consistent.
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Related Questions
consider a pipe at a constant temperature whose radius is greater than the critical radius of insulation. is it true that the rate of heat loss from the pipe increases when some insulation is added to the pipe?
Answers
Yes, it is true that the rate of heat loss from the pipe increases when some insulation is added to the pipe which is kept at a constant temperature, and if the pipe's radius is greater than the critical radius of insulation.
The critical radius of insulation is the radius at which adding insulation to a pipe increases the rate of heat loss from the pipe. It is given by:
\(r_{crit} = \frac{k}{h}\)
where k is the thermal conductivity of the insulation material and h is the convective heat transfer coefficient between the pipe surface and the surrounding fluid.
If the pipe radius is greater than the critical radius of insulation (i.e., \(r > r_{crit}\)), then adding insulation to the pipe will increase the rate of heat loss from the pipe. This is because the insulation will increase the radius of the pipe, which will increase the surface area for heat transfer.However, if the pipe radius is less than the critical radius of insulation (i.e., \(r < r_{crit}\)), then adding insulation to the pipe will decrease the rate of heat loss from the pipe, this is because the insulation will reduce the convective heat transfer coefficient more than it will increase the surface area for heat transfer, resulting in a net decrease in the rate of heat loss.Therefore, if the radius of the pipe is greater than the critical radius of insulation, adding insulation to the pipe will increase the rate of heat loss from the pipe.
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. Una varilla de cobre de coeficiente de dilatación 1,4*10-5 °C -1 , tiene una longitud de 1.20 metros a una temperatura ambiente de 18 ˚C . ¿Cuál sera su longitud 100 ˚C
Answers
Answer:
La longitud de la varilla de cobre es de 1.201 metros a una temperatura de 100 °C.
Explanation:
Asumiendo que la varilla de cobre experimenta deformaciones muy pequeñas y que las deformaciones no longitudinales son despreciables con respecto a las deformaciones longitudinales, la deformación longitudinal de la varilla se estima mediante la siguiente fórmula:
\(l_{f} = l_{o}\cdot [1+\alpha \cdot (T_{f}-T_{o})]\) (1)
Donde:
\(l_{o}\) - Longitud inicial de la varilla, en metros.
\(\alpha\) - Coeficiente de dilatación, en \(^{\circ}C^{-1}\).
\(T_{o}\) - Temperatura inicial de la varilla, en grados Celsius.
\(T_{f}\) - Temperatura final de la varilla, en grados Celsius.
Si sabemos que \(l_{o} = 1.20\,m\), \(\alpha = 1.4\times 10^{-5}\,^{\circ}C^{-1}\), \(T_{o} = 18\,^{\circ}C\) y \(T_{f} = 100\,^{\circ}C\), entonces la longitud final de la varilla es:
\(l_{f} = (1.20\,m)\cdot \left[1 + \left(1.4\times 10^{-5}\,^{\circ}C^{-1}\right)\cdot (100\,^{\circ}C-18\,^{\circ}C)\right]\)
\(l_{f} = 1.201\,m\)
La longitud de la varilla de cobre es de 1.201 metros a una temperatura de 100 °C.
potential energy is sometimes called?
Answers
Answer:
it can be called PE or sometimes, there are equations which you can use the letter U.
Explanation:
Answer:
STORED ENERGY
Explanation:
between what two plates is there a complex or uncertain plate boundary
Answers
There are several locations on Earth where there are complex or uncertain plate boundaries:
Eurasian Plate and the African PlateNorth American Plate and the Pacific PlateNazca Plate and the South American PlateWhat boundaries are marked by uncertain plates?The boundary between the Eurasian Plate and the African Plate: This boundary runs through the middle of the Red Sea and is marked by a divergent boundary (where the plates are moving away from each other).
The boundary between the North American Plate and the Pacific Plate: This boundary is marked by a transform boundary (where the plates are moving past each other) along the west coast of North America, including the San Andreas Fault in California.
The boundary between the Nazca Plate and the South American Plate: This boundary is marked by a subduction zone along the west coast of South America, including the Andes Mountains.
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A copy machine uses a lens to make an image of a page in the physics textbook to print a copy. When the print is regular size, both the book and its image are 16.0 cm from the lens.
A. What is the focal length of this lens?
B. If the lens is moved so that it is 24 cm from the book, what is the distance to the new image?
C. This new image will be (Magnified, reduced, or same size) compared to the original book. How do you know?
Answers
A. The lens's focal length is 8.0 cm.
B. 12.0 cm separates you from the new image.
C. m = -0.5, Because of the negative magnification, we can infer that the image is perpendicular to the object.
What is focal length?The ability of a lens or curved mirror to focus or bend light depends on its focal length. The distance between the center of the lens or mirror and the point where parallel light rays appear to converge after passing through the lens or reflecting off the mirror is more precisely defined as this distance.
We may infer that the picture is smaller than the original book because the magnitude of the magnification is less than 1 (i.e., the absolute value of the magnification is less than 1).
How do you determine it?
A. The thin lens formula, which is as follows, can be used to determine the focal length of the lens.
1/f = 1/di + 1/do
where f is the lens's focal length, di is its distance from the image, and so is its separation from the object (in this case, the textbook).
We can set di = do = 16.0 cm because the distance between the textbook and its image is 16.0 cm. Using the thin lens formula with these values as inputs, we obtain:
1/f = 1/16.0 + 1/16.0
If we simplify, we get:
1/f = 1/8.0
The result of multiplying both sides by 8.0 is:
f = 8.0 cm
Thus, the lens's focal length is 8.0 cm.
B. We may use the narrow lens calculation once more to get the distance to the new image if the lens is moved to a position where it is 24 cm away from the book.
Since the lens is now 24 cm away from the book, we may set do = 24.0 cm and find di by using the same formula as before:
1/f = 1/di + 1/24.0
1/8.0 = 1/di + 1/24.0
When we simplify and solve for di, we obtain:
di = 12.0 cm
Thus, 12.0 cm separates you from the new image.
C. By using the magnification equation, we may determine whether the new image is bigger, smaller, or the same size as the original book.
m = -di/do
Where m is the image's magnification (a negative sign means the picture is inverted with respect to the object), di is the lens's distance from the image, and do is the lens's distance from the object.
The values from section B allow us to determine the magnification:
m = -12.0/24.0
If we simplify, we get:
m = -0.5
Because of the negative magnification, we can infer that the image is perpendicular to the object.
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A car accelerates from 3 m/s to 12 m/s in 20 s.
What is the acceleration of the car?
Answers
Answer:
0.45 [m/s²].
Explanation:
1) formula of the required acceleration is (V-final velocity, V₀-initial velocity, t-elapsed time):
\(a=\frac{V-V_0}{t};\)
2) according to the formula above:
a=(12-3)/20=0.45 [m/s²].
a rope is used to pull a 2.89kg bucket of water out of a deep well. what is the acceleration of the bucket when the tension in the rope is 30.2N?
Answers
Answer:
Explanation:
Tension in the rope in upward direction = 30.2 N .
weight of bucket in downward direction = mg
net force in upward direction = 30.2 - mg
30.2 - 2.89 x 9.8
= 1.878 N
acceleration = net force / mass
= 1.878 / 2.89
= .65 m /s² .
= 65 cm /s²
The acceleration of the bucket will be "65 cm/s²".
Tension and acceleration:Whenever the rope, thread, or cable is expanded underneath an applied force, a force is created in that as well, is a tension force.
Tension acts anywhere along the lengths of the string throughout the opposing directly proportional to the force acting upon that.
According to the question,
Tension in the rope = 30.2 N
Mass of bucket, m = 2.89 kg
Acceleration due to gravity, g = 9.8
Now,
The net force will be:
= Tension - mg
= \(30.2-(2.89\times 9.8)\)
= \(1.878\) N
hence,
The acceleration of the bucket be:
= \(\frac{Net \ force}{Mass}\)
By substituting the values,
= \(\frac{1.878}{2.89}\)
= \(0.65\) m/s²
or,
= \(65\) cm/s²
Thus the above approach is correct.
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What is the most important factor in determining whether or not a planet will be rocky like terrestrial planets or gaseous like giant planets
Answers
The most important factor in determining whether a planet will be rocky like terrestrial planets or gaseous like giant planets is its distance from the host star and the temperature at which it forms.
Rocky, terrestrial planets typically form closer to their host star where temperatures are high enough for refractory materials such as silicates and metals to condense and form solid bodies. In contrast, giant gaseous planets typically form farther away from their host star where temperatures are low enough for volatile materials such as hydrogen and helium to condense into gas giants.
This is due to the fact that the temperature and distance from the star determine the composition of the protoplanetary disk that the planet forms from. In the inner regions, the disk is hotter and only refractory materials are able to condense into solid particles.
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A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is
Answers
A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is maximum and clockwise.
What is Magnetic field?The region of space where an object experiences a magnetic force towards it is called magnetic field.
The change in magnetic field induces the current. This induced current again opposes the original magnetic field in the opposite direction. The original magnetic field is decreasing into the page. So, magnetic field of induced current will have to add it and into the page.
Thus, the induced current in the loop is maximum and clockwise.
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Problem 3. High concentration of coliform bacteria is detected in a water well in Oklahoma. Shock chlorination was applied to disinfect the well by supplying a high concentration of chlorine to the water over a short period. After the disinfection treatment, the concentration of coliform bacteria c , is expected to decrease according to \[ c=77 e^{-1.5 t}+20 e^{-0.08 t} \] Where t is time in hours, and c is the bacteria concentration in ppm. Determine the time required for the bacteria concentration to be reduced to 15ppm using the Newton's method with an initial guess of t=6 and a stopping criterion of 1% (tol=0.01). Check your result with fsolve function in Python's scioy library.
Answers
The time required for the bacteria concentration to be reduced to 15ppm using the Newton's method is 8.12 hours.
Finding the roots of a differentiable function F, which are answers to the equation F (x) = 0, using Newton's technique is an iterative process. To solve this problem, we can use Newton’s method with an initial guess of t=6 and a stopping criterion of 1% (tol=0.01). The formula for Newton’s method is:
xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
where xₙ₊₁ is the next approximation, xₙ is the current approximation, f(xₙ) is the function value at xₙ, and f'(xₙ) is the derivative of the function at xₙ.
For this problem, we have:
f(t) = 77 \(e^{-1.5 t}\) +20 \(e^{-0.08 t}\) - 15
f’(t) = -115.5 \(e^{-1.5 t}\) - 1.6 \(e^{-0.08 t}\)
After using the Newton’s method with an initial guess of t=6 and a stopping criterion of 1% (tol=0.01), the results are as follows:
t = 4.139 hours
You can check your result with fsolve function in Python’s scioy library.
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A tennis ball is thrown vertically upward. It reaches the maximum height in 1.25 sec. What is the initial speed of the ball as it leaves the person's hand (m/s)? (neglect air resistance)
Answers
h= max
v= 0
t= 1.25
Vf= 0 at max height
vf = vi + at
0 = vi - 9.8 * 1.25
vi = 12.25 m/s
Consider an extremely relativistic gas of non-interacting, indistinguishable N monoatomic
molecules with energy-momentum relationship & = pc (c is the speed of light).
(a) Calculate the Helmholtz free energy by evaluating the partition function.
(b) Show that this system also obeys PV = nU, where U is the internal energy, and
determine n.
(c) What if they are now fermions (still extremely relativistic, e.g., electrons in a white dwarf
star)? Explicitly show that they do (or do not) obey the same relationship, PV = nU
Answers
(a) The Helmholtz free energy of an extremely relativistic gas of non-interacting, indistinguishable N monoatomic molecules can be calculated by evaluating the partition function.
(b) This system also obeys the relationship PV = nU, where PV is the product of pressure and volume, n is the number of molecules, and U is the internal energy.
(c) If the molecules are fermions, such as electrons in a white dwarf star, they do not obey the same relationship PV = nU as in the case of non-interacting particles.
(a) The Helmholtz free energy (F) can be calculated by evaluating the partition function (Z). For an extremely relativistic gas of non-interacting, indistinguishable N monoatomic molecules, the partition function is given by Z = (1 / N!) * (2V / λ^3)^N, where V is the volume and λ is the thermal de Broglie wavelength. The Helmholtz free energy is then F = -kT * ln(Z), where k is Boltzmann's constant and T is the temperature.
(b) In this system, the internal energy (U) is related to the average energy per molecule (ε) as U = N * ε. The pressure (P) is given by PV = (2/3) * U, which can be derived from the equation of state for an ideal gas. Substituting U = N * ε, we get PV = (2/3) * N * ε. Therefore, this system obeys the relationship PV = nU, where n is the number of molecules.
(c) If the molecules are now fermions, such as electrons, they follow Fermi-Dirac statistics and have a different energy-momentum relationship. For fermions, the equation of state PV = nU does not hold. Fermions obey the Pauli exclusion principle, which leads to a different behavior compared to non-interacting particles. The relationship PV = nU is specific to non-interacting particles, and fermions exhibit deviations from this relationship due to their quantum nature and the exclusion principle.
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contrast your Reflection from the back of a shiny spoon and from a plane mirror.
Answers
. How much power is used to move a 5 kg mass 28 meters in 8 seconds?
Answers
Answer:
171.5Watts
Explanation:
Given parameters:
Mass = 5kg
Distance = 28m
Time = 8s
Unknown:
Power = ?
Solution:
Power is the rate at which work is done;
Power = \(\frac{work done }{time taken}\)
Work done = force x distance = mg x d =
m is the mass
g is the acceleration due to gravity
d is the distance
Work done = 5 x 9.8 x 28 = 1372J
Power = \(\frac{1372}{8}\) = 171.5Watts
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is
meters per minute. One kilometer is the same as 1,000 meters.
Answers
Answer:
200 m / min
Explanation:
Total distance = 2000 m
Total time = 2+4+1+3 = 10 minutes
Average speed = 2000 m / 10 min = 200 m/min
please answer me fast
Answers
Answer: i think c
Explanation:QA: “What is ordinary glass made of ?”
Glass is mostly silica, or silicon dioxide, present as quartz in many types of sand. Pure silica forms a highly transparent glass, but has a very high melting or softening temperature, around 1700°C. Even at such high temperatures it is highly viscous and difficult to work. Its use is largely confined to applications requiring high transparency to ultra-violet and infra-red radiation, stability at elevated temperatures or low thermal expansion coefficient.
“Ordinary glass” windows and drinking vessels are typically made from soda-lime glass, containing silica with around 25% sodium, calcium and other oxides, which together reduce the softening temperature to roughly 500–600°C
Which of the following best explains what creates this convection current?
options:
The rotation of Earth makes the air above it rotate, but not the same over land and water.
Because of its mass, Earth's gravity creates a high pressure area over both the land and water.
Salt in the ocean makes it more dense than the land, so its gravity pulls more on the air above it.
During the evening, the land cools off more quickly than the water. The cooler land cools the air above it, while the warmer water warms the air above it. These differences in air temperature create the convection.
Answers
Answer:
During the evening, the land cools off more quickly than the water. The cooler land cools the air above it, while the warmer water warms the air above it. These differences in air temperature create the convection.
Explanation:
sorry I took forever
8
Select the correct answer.
Which sentence correctly states Boyle's law?
ОА
The pressure on a gas varies inversely with its volume at constant temperature.
OB. The pressure on a gas varies directly with its volume at constant temperature.
Ос.
The pressure on a gas varies directly with its temperature at constant volume.
OD
The pressure on a gas varies inversely with its temperature at constant volume.
OE. The volume of a gas varies directly with its temperature at constant pressure.
Answers
2. Why do you fall forward when you stub your toe on a chair? Explain in terms (meaning use
the words in the law in your answer) of inertia and Newton's llaw.
STUBBED
MY TOES
3. Why do you fly forward when hitting a curb while riding a skateboard or bike? Explain in
terms of inertia and Newton's 1" law.
4. Come up with your own example of Newton's first lawl Again explain using inertia and
Newton's l1st law
Answers
Answer:
because u feel pain and u get shaky and fall
Explanation:
Answer:
Explanation:because it hurts so you fall
the diagram below represents the effects of certain types of pollutants on the atomosphere. the best title for the diagram is
Answers
The best title for the given diagram will be greenhouse effect. The correct option is C.
What is greenhouse effect?The greenhouse effect describes how "greenhouse gases" trap heat near the Earth's surface.
These heat-trapping gases act like a blanket swathed around Earth, preserving it warmer than it would be without them.
The greenhouse effect refers to the exchange of incoming and outgoing radiation that warms the planet in a manner similar to that of a greenhouse.
Emissions of Carbon Dioxide is the real factor of this effect. The primary greenhouse gas emitted by human activities is carbon dioxide (CO2).
Thus, the correct option is C.
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Your question seems incomplete, the missing options are:
Ozone depletion.Water pollution.Greenhouse effect.Renewable energy.the term ________ refers to an object's ability to take different forms.
Answers
The term "flexibility" refers to an object's ability to take different forms. High degree of flexibility is found in objects made by flexible materials.
Flexibility is a property that describes the ability of an object or material to bend, stretch, or change shape without breaking or losing its structural integrity. It is a measure of how easily an object can be deformed under the influence of external forces.
The flexibility of an object is determined by its composition, structure, and physical properties. Objects that are made of flexible materials, such as rubber or certain types of plastics, have a high degree of flexibility. They can be bent, twisted, or stretched without permanently deforming or breaking. In contrast, objects made of rigid materials, like metal or glass, have lower flexibility and are less prone to deformation.
Flexibility is an important characteristic in various fields, including engineering, materials science, and biomechanics. It allows for the design of structures and materials that can withstand different forces, adapt to different environments, and perform specific functions effectively.
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the gulf stream off the east coast of the united states can flow at a rapid 3.8 m/s to the north. a ship in this current has a cruising speed of 10 m/s . the captain would like to reach land at a point due west from the current position.
Answers
72.54 degree west of south gulf stream flow at a rapid 3.8 m/s speed to the north.
flow = 3.9 m/s north
speed = 11 m/s
hypotenuse ×cos(angle) = adjacent side
11 ×cos(angle) = 3.3
cos(angle) = 0.3
angle = 72.54 degree west of south
Speed is a measurement of how quickly an object's distance traveled changes. Speed is a scalar, which means it has magnitude but no direction as a unit of measurement. Speed is the rate of movement of an object over a predetermined distance. a thing that moves quickly and with high speed, covering a lot of ground in a short time. On the other hand, a slow-moving object moving at a low speed covers a comparatively small distance in the same amount of time. An object with zero speed does not move at all.
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a. 8.25749 x 1017 protons and 5.26 x 1014 electrons; the charge on this object is ____ coulombs.
Answers
8.25749 x 10¹⁷ protons and 5.26 x 10¹⁴ electrons; the charge on this object is 0.4791 coulombs
To determine the charge on an object given the number of protons and electrons, we need to consider the elementary charge of a single proton and electron and their respective quantities.
The elementary charge, denoted as "e," is the fundamental unit of electric charge and is approximately equal to 1.602 x 10⁻¹⁹ coulombs.
Given that the number of protons is 8.25749 x 10¹⁷ and the number of electrons is 5.26 x 10¹⁴, we can calculate the total charge on the object.
Charge on protons = (Number of protons) * (Charge of a proton)
= (8.25749 x 10¹⁷) * (1.602 x 10⁻¹⁹ C)
Charge on electrons = (Number of electrons) * (Charge of an electron)
= (5.26 x 10¹⁴) * (-1.602 x 10⁻¹⁹ C) (Note: electrons have a negative charge)
Total charge = Charge on protons + Charge on electrons
Performing the calculations, we have:
Charge on protons = (8.25749 x 10¹⁷) * (1.602 x 10⁻¹⁹ C) ≈ 1.3227 C
Charge on electrons = (5.26 x 10¹⁴) * (-1.602 x 10⁻¹⁹ C) ≈ -0.8436 C
Total charge = 1.3227 C + (-0.8436 C) ≈ 0.4791 C
Therefore, the charge on this object is approximately 0.4791 coulombs.
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What is the speed of a runner that runs 400m in 48.42 seconds?
Answers
Answer:
The speed is that it would take 121.05 seconds to run a kilometer.
Explanation:
Since there are 1000 meters in a kilometer, divide 400 meters by 4, and 48.42 by 4. Then you get 100 meters equals 12.105 seconds. Multiply that by ten, and you get 121.05 seconds
A compressional wave looks most like a:
line of hills and valleys.
a straight line.
coiled spring.
None of the choices are correct.
Answers
Answer:
non of the choice are correct
Explanation:
because waves look like waves only
two equal forces are applied to a door. the first force is applied at the midpoint of the door; the second force is applied at the doorknob. both forces are applied perpendicular to the door. which force exerts the greater torque? both exert zero torques
Answers
The second at the doorknob exerts the greater torque.
The torque a force produces is determined by:
Fdsino = T
where
F is the force's magnitude.
The distance d between the force's application point and the rotational center
the angle between the force's direction and d
What we have in this issue is
- Two equal-amplitude pressures F
- Both forces are parallel to the door (sine = 1, so = 90°).
- The door's center receives the first force, while the doorknob receives the second. This indicates that for the second force, d is bigger.
Consequently, the second force imposes a stronger torque.
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The specific heat capacity of iron is 450.5. A 15.5 kg block of iron with
an initial temperature of 20 degrees Celsius is heated with 250 J. What will
the final temperature of the iron be?
Answers
Answer:
\(T_f=20.03^{\circ} C\)
Explanation:
Given that,
The specific heat capacity of iron is 450.5 J/g°C
The mass of block of iron, m = 15.5 kg
Initial temperature, \(T_i=20^{\circ} C\)
Heat required, Q = 250 J
We need to find the final temperature of the iron. The formula for heat required is given by :
\(Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\\dfrac{Q}{mc}=(T_f-T_i)\\\\T_f=\dfrac{Q}{mc}+T_i\\\\T_f=\dfrac{250}{15.5(450.5)}+20\\\\T_f=20.03^{\circ} C\)
So, the final temperature of the iron is \(20.03^{\circ} C\).
One exciting fairground ride acts like a gaint catapuit. The capsule which the 'rider' is strapped in is fired high into the sky by rubber straps Explain the erengy changes taking place in the ride.
Answers
Elastic energy of rubber straps is converted into the kinetic energy of the capsule which is converted into gravitational potential energy as capsule.
What is energy transformation?In accordance with the law of energy conservation, energy is neither created nor destroyed but can be converted from one form to another. This implies that energy is not lost and continues to exist.
The energy conversion that takes place as the 'rider' is strapped in is fired high into the sky by rubber straps is elastic energy of rubber straps is converted into the kinetic energy of the capsule which is converted into gravitational potential energy as capsule.
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Determine the distance a 741.19 W crane lifts a crate in 57.59 s if it uses a force of 546,422.14 N.
Answers
The distance at which the crane lift a crate is 0.0781 m.
What is distance?Distnace is the lenght between two points.
To determine the distance the crane can lift the crate, we use the formula below.
Formula:
d = Pt/F.......................... Equation 1Where:
d = DistanceP = Powert = TimeF = ForceFrom the question,
Given:
P = 741.19 Wt = 57.59 sF = 546422.14 NSubstitute these values into equation 1
d = (741.19×57.59)/546422.14d = 0.0781 mHence, the distance is 0.0781 m.
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How long would it take for a person to sprint from the 0m line to the 100m line if they are traveling forward at 6m/s?
Answers
Answer:
This section assumes you have enough background in calculus to be familiar with integration. In Instantaneous Velocity and Speed and Average and Instantaneous Acceleration we introduced the kinematic functions of velocity and acceleration using the derivative. By taking the derivative of the position function we found the velocity function, and likewise by taking the derivative of the velocity function we found the acceleration function. Using integral calculus, we can work backward and calculate the velocity function from the acceleration function, and the position function from the velocity function.Explanation:
Derive the kinematic equations for constant acceleration using integral calculus.Use the integral formulation of the kinematic equations in analyzing motion.Find the functional form of velocity versus time given the acceleration function.Find the functional form of position versus time given the velocity function.