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 $v_0/2$ to catch the ball. Will the person be able to catch the ball? If yes, what should be the angel of projection?

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

Answer 1

The correct option is A Yes, ${60}^{\circ }$

For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,
$v_0\cos \theta =\frac{v_0}{2}$ or $\cos \theta =\frac{1}{2}$ or $\theta ={60}^{\circ }$.