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Question

Question: A stone thrown upward with a speed u from the top of the tower reaches the ground with a velocity 3u...

A stone thrown upward with a speed u from the top of the tower reaches the ground with a velocity 3u. The height of the tower is

A

3u2/g3u^{2}/g

B

4u2/g4u^{2}/g

C

6u2/g6u^{2}/g

D

9u2/g9u^{2}/g

Answer

4u2/g4u^{2}/g

Explanation

Solution

For vertical downward motion we will consider initial

velocity = – u.

By applying v2=u2+2ghv^{2} = u^{2} + 2gh, (3u)2=(u)2+2gh(3u)^{2} = ( - u)^{2} + 2gh

h=4u2gh = \frac{4u^{2}}{g}.