Question

I decide to drop a ball of the top of a building of height 10 meters. How long does it take for the ball to hit the ground? (Antiderivative application). Assume g = -10 m/s^2 and assume no air resistance.

Answer #1

A ball is dropped from rest from the top of a building with
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at a height above the ground equal to:
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You drop a ball with a diameter of 7.5 cm and a mass of 150 g
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World’s tallest
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(a) how long will it take for the
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(b) How fast will it be moving just
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A boy standing on top of a building throws a small ball from a
height of H1 = 37.0 m. (See figure.) The ball leaves
with a speed of 24.5 m/s, at an angle of 53.0 degrees from the
horizontal, and lands on a building with a height of H2
= 16.0 m. Calculate for how long the ball is in the air. (Neglect
air friction, and use g = 9.81 m/s2.)

A boy standing on top of a building throws a small ball from a
height of H1 = 37.0 m. (See figure.) The ball leaves
with a speed of 24.5 m/s, at an angle of 53.0 degrees from the
horizontal, and lands on a building with a height of H2
= 16.0 m. Calculate for how long the ball is in the air. (Neglect
air friction, and use g = 9.81 m/s2.)

A man throws a ball straight upward with speed 30 m/s from the
top of a building that is 75 m high. Ignore air resistance and
choose the vertical y-axis to be positive downward with
origin at the point of throw (top of the building).
Represent the initial velocity and the acceleration vectors in
the reference y-axis above.
Find the maximum height the ball reaches with respect to the
ground.
How long does it take the ball to reach the...

1. Two identical eggs were thrown at the same time from the top
of a building of height 100 m at a speed 20. One egg was thrown at
an angle 40° above the horizontal while another was thrown at the
same angle but below the horizontal. How long does it take for the
other egg to hit the ground after the one of the eggs hits the
ground?
Does the time difference between the eggs hitting the ground
depend...

A soccer ball is kicked from the top of one building with a
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13.4 m. The ball is kicked with a speed of v0 = 15.1 m/s at an
angle of θ = 80.0° with respect to the horizontal. The mass of a
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ball, when it lands on the...

A soccer ball is kicked from the top of one building with a
height of H1 = 29.2 m to another building with a height of H2 =
10.4 m. (It is not a very smart idea to play soccer on the roof of
tall buildings.) The ball is kicked with a speed of v0 = 14.7 m/s
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A ball is thrown straight up from the edge of the roof of a
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A.
If the height of the building is 20.3 m, what must the initial
speed be of the first ball if both are to hit the ground at the
same time?
Express your answer in meters per second.
B.
Consider the same situation, but now let...

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