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 $ .