Question

A ball is thrown from a point with a speed $v_0$ at an elevation angle of $\theta$. 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. No
• B. Yes, ${30}^o$
• C. Yes, ${60}^o$
• D. Yes, ${45}^o$

Answer 1

The correct option is C Yes, ${60}^o$

Yes, the person can catch the ball when his velocity is equal to the horizontal component of ball’s velocity, then the motion of ball will be only in vertical direction w.r.t person for that $\frac{v_o}{2}=v_o\cos \theta$ or $\theta ={60}^o$