Question

The velocity of projection of a body is increased by $2$%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?

• A. $1$%
• B. $2$%
• C. $4$%
• D. $8$%

Answer 1

The correct option is C $4$%

Maximum height $H=\frac{u^2{\sin }^2\theta }{2g}$

Percentage change in height $\frac{\Delta H}{H}\times 100=2\times \frac{\Delta u}{u}\times 100$

$⟹$ $\frac{\Delta H}{H}\times 100=2\times 2=4$ %