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A stone is thrown from the top of a building with an initial velocity of 21.3 m/

ID: 2018698 • Letter: A

Question

A stone is thrown from the top of a building with an initial velocity of 21.3 m/s straight upward, at an initial height of 50.0 m above the ground. The stone just misses the edge of the roof on its way down, as shown in the figure.
(a) Determine the time needed for the stone to reach its maximum height.
2 s

(b) Determine the maximum height.
3 m

(c) Determine the time needed for the stone to return to the height from which it was thrown, and the velocity of the stone at that instant. Time 4 s
Velocity 5 m/s

(d) Determine the time needed for the stone to reach the ground.
6 s

(e) Determine the velocity and position of the stone at t = 5.60 s. Velocity 7 m/s
Position 8 m

Explanation / Answer

A. Vf=Vi + gt 0= 21.3 + 9.8t t= 2.17 sec B. PE=KE .5mv^2=mgh
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