Question

During a projectile motion if the maximum height equals to the horizontal range, then the angle of projection with the horizontal is

• A. ${\tan }^{-1}\left(1\right)$
• B. ${\tan }^{-1}\left(2\right)$
• C. ${\tan }^{-1}\left(3\right)$
• D. ${\tan }^{-1}\left(4\right)$

Answer 1

The correct option is D ${\tan }^{-1}\left(4\right)$

According to question,

$H=R$

$\frac{u^{2}si{n}^2\theta }{2g}=\frac{2u^{2}sin\theta .cos\theta }{g}$

$\frac{sin\theta }{cos\theta }=4$

$tan\theta =4$

$\theta =ta{n}^{-1}\left(4\right)$

The correct option is D.