First slide

Projection Under uniform Acceleration

Question

Four projectiles are projected with the same speed at angles $20^{o}, 35^{o}, 60^{o} and 75^{o}$ with the horizontal. The range will be the longest for the projectile whose angle of projection is

Easy

A

$20^{o}$
B

$35^{o}$
C

$60^{o}$
D

$75^{o}$

Solution

Range $R = \frac{u^{2} \sin 2 θ}{g}$ . For same u, $R α \sin 2 θ$ .
Since $\sin 2 θ$ is largest for $θ = 35^{o}$ , the correct choice is (2).

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