Question

The maximum height attained by a projectile thrown over a horizontal ground is increased by $5\%$, keeping the angle of projection constant.What is the percentage increase in the horizontal range?

• A. $20\%$
• B. $15\%$
• C. $10\%$
• D. $5\%$

Answer 1

The correct option is D $5\%$

$H=\frac{u^2{\sin }^2\theta }{2g}$
$\theta =$ constant & $u^2$ change by $5\%$
$R=\frac{2u^{2}sin\theta \cos \theta }{g}$
it means range will also increase by $5\%$ only.