Question

When a ball is thrown up vertically with a velocity v₀ it reaches a height h. If one wishes to triple the maximum height then the ball be thrown with a velocity

• A. √3 v₀
• B. 3 v₀
• C. 9v₀
• D. 3/2 v₀

Answer 1

Answer: (A)

√3 v₀

Answer 2

v² = 2gh or v = $\sqrt { 2 g h }$ , i.e., $\frac { \mathrm { v } _ { 1 } } { \mathrm { v } _ { 2 } } = \sqrt { \frac { \mathrm { h } _ { 1 } } { \mathrm {~h} _ { 2 } } }$

∴ v₂ = √3 v₀