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 $\theta$ ?

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

Answer 1

The correct option is C $\text{yes},{60}^{\circ }$


Yes, man will catch the ball, if the horizontal component of velocity of ball becomes equal to the speed of man.

$\frac{v_0}{2}=v_0\cos \theta$

$\therefore \theta ={60}^{\circ }$

Hence, option $\left(\text{C}\right)$ is correct.