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

Answer: (A)

Yes, $60{}^\circ$

Answer 2

Man will catch the ball if the horizontal component of velocity becomes equal to the constant speed of man $ie$ , ${{v}_{0}}\cos \theta =\frac{{{v}_{0}}}{2}$