An object drops from the edge of the roof. It passes a window 4m high in 0.6 sec. How far is the roof above the top of the window?
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Explanation:
Height of the window (h) = 2m
Acceleration due to gravity g=9.8 m/s2
Time taken (t) = 0.1 s
The velocity of the stone when it reaches the top of the window is to be calculated.
Applying the second equation of motion,
h=ut+12at2
2 = 0.1 u + 0.049
0.1 u = 1.951
U = 19.51 m/s
Thus, the velocity 19.51 m/s will be the final velocity of the stone when it is covering the distance between the roof and the window.
Initially the stone is at rest i.e., u = 0
v2−u2=2gh
(19.51)2=19.6h
⇒h=19.42m
Distance between the roof and the window = 19.42 m.
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