Kinematics Question 251

Question: When a ball is thrown up vertically with velocity $ V _{o} $ , it reaches a maximum height of ‘h’. If one w it’shes to triple the maximum height then the ball should be thrown with velocity [AIIMS 2005]

Options:

A) $ \sqrt{3}V _{o} $

B) $ 3V _{o} $

C) $ 9V _{o} $

D) $ 3/2V _{o} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ {H _{\max }}\propto u^{2} $ $ u\propto \sqrt{{H _{\max }}} $ i.e. to triple the maximum height, ball should be thrown with velocity $ \sqrt{3}\ u $ .



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