Question

A ball is thrown from a point with a speed $v_0$ at an angle of projection $\theta$. From the same point and at the same instant a person starts running with a constant speed $\frac{v_0}{2}$ to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection

• A. $Yes,{60}^{\circ }$
• B. $Yes,{30}^{\circ }$
• C. $No$
• D. $Yes,{45}^{\circ }$

Answer 1

The correct option is A

$Yes,{60}^{\circ }$

Person will catch the ball if its velocity will be equal to horizontal component of velocity of the ball.
$\frac{v_0}{2}=v_{0}cos\theta \Rightarrow cos\theta =\frac{1}{2}\Rightarrow \theta ={60}^{\circ }$