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Question: A stone is shot straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with whi...

A stone is shot straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with which it strikes the ground is approximately

A

60 m/sec

B

65 m/sec

C

70 m/sec

D

75 m/sec

Answer

65 m/sec

Explanation

Solution

Speed of stone in a vertically upward direction is 20 m/s. So for vertical downward motion we will consider u=20m/su = - 20m/s

v2=u2+2gh=(20)2+2×10×200v=65m/sv^{2} = u^{2} + 2gh = ( - 20)^{2} + 2 \times 10 \times 200 \Rightarrow v = 65m/s