When a ball is thrown up vertically with velocity `v_0`, it reaches a maximum height of h. If one wishes to triple the maximum height then the ball should be thrown with velocity

Options

A. `sqrt(3)v_(0)`
B. `3 v_(0)`
C. `9 v_(0)`
D. `3//2 v_(0)`

Answer

A

Explanation

`H_(max)prop upsilon^(2) rArr upsilon prop sqrt(H_(max))`
i.e., to trip the maximum height, ball should be thrown with velocity `sqrt(3)upsilon_(0)`.