First slide

Projectile motion

Question

A ball is projected from a point A with some velocity at an angle 30^o with the horizontal as shown in figure. Consider a target at point B. The ball will hit the target if it is thrown with a velocity v₀ equal to

Moderate

A

$5 {ms}^{- 1}$
B

$6 {ms}^{- 1}$
C

$7 {ms}^{- 1}$
D

Infinity

Solution

Applying equation of trajectory, we get
$0 .5 = \frac{\sqrt{3}}{2} \tan 30^{\circ} - \frac{g (\frac{\sqrt{3}}{2})}{2 v_{0}^{2} \cos^{2} 30^{\circ}} \Rightarrow v_{0} = \infty$

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