First slide

Projectile motion

Question

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

Moderate

A

$\tan^{- 1} (1)$
B

$\tan^{- 1} (2)$
C

$\tan^{- 1} (3)$
D

$\tan^{- 1} (4)$

Solution

We find that $H = R or \frac{u^{2} \sin^{2} θ}{2 g} = \frac{u^{2} 2 \sin θ \cos θ}{g}$
$or \tan θ = 4 or θ = \tan^{- 1} (4)$

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