First slide

Projectile motion

Question

At what angle with the horizontal should a ball be thrown so that. the range R is related to the time of flight as $R = 5 T^{2} ? (Take g = 10 {ms}^{- 2})$

Moderate

A

$30^{\circ}$
B

$45^{\circ}$
C

$60^{\circ}$
D

$90^{\circ}$

Solution

$\frac{R}{T^{2}} = g \frac{\sin 2 θ}{4 \sin^{2} θ} = \frac{g}{2} \cot θ = 5 \cot θ$
$Given \frac{R}{T^{2}} = 5; Hence, 5 = 5 \cot θ or θ = 45^{\circ}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App