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AP EAMCET · PHYSICS · Motion In One Dimension

A body is projected vertically upwards with a velocity 'u' from the top of a tower. Time taken by it to reach the ground is 'n' times the time taken by it to reach the highest point in its path. Height of the tower is

  1. A nu2(n-1)2g
  2. B nu2(n-2)g
  3. C nu2(n-2)2 g
  4. D u22g(n+1)
Verified Solution

Answer & Solution

Correct Answer

(C) nu2(n-2)2 g

Step-by-step Solution

Detailed explanation

Let us suppose. h is the height of the tower and it attains maximum height up to H from ground, so Time to reach the maximum height, t=ug if t2 is the time taken by the ball to hit the ground, -H=ut2-12gt22 t2=nt -H=unt-12gnt2⇒-H=unug-12gn×ug2⇒H=nu2n-22g
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