When a ball is thrown up vertically with velocity V0, it reaches a maximum height of ‘h’. If one wishes to triple the maximum height then the ball should be thrown with velocity

Question

When a ball is thrown up vertically with velocity V0, it reaches a maximum height of ‘h’. If one wishes to triple the maximum height then the ball should be thrown with velocity (A) √3 V0 (B) 3 V0 (C) 9 V0 (D) 3/2 V0

Tardigrade Admin · Accepted Answer

Hmax propto u2 ∴ u propto √Hmax i.e., to triple the maximum height, ball should be thrown with velocity√3 V0

Q. 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

$3 V_{0}$

$3 V_{0}$

$9 V_{0}$

$3/2 V_{0}$

$H_{ma x} \propto u^{2}$

$∴ u \propto H_{ma x}$

i.e., to triple the maximum height, ball should be thrown with velocity $3 V_{0}$

Q. When a ball is thrown up vertically with velocity V0​, it reaches a maximum height of ‘h’. If one wishes to triple the maximum height then the ball should be thrown with velocity

3​V0​

3V0​

9V0​

3/2V0​

Hmax​∝u2 ∴u∝Hmax​​ i.e., to triple the maximum height, ball should be thrown with velocity3​V0​

Q. 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

$3 V_{0}$

$3 V_{0}$

$9 V_{0}$

$3/2 V_{0}$

$H_{ma x} \propto u^{2}$

$∴ u \propto H_{ma x}$

i.e., to triple the maximum height, ball should be thrown with velocity $3 V_{0}$