A ball is thrown from a point with a speed $v_0$ at an angle of projection $\theta$. From the same point and…

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 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 angle of projection?
  1. yes, $60^{\circ}$
  2. yes, $30^{\circ}$
  3. no
  4. yes, $45^{\circ}$

Solution

$\mathrm{v}_0 \cos \theta=\frac{\mathrm{v}_0}{2}$ $\Rightarrow \theta=60^{\circ}$

Asked in: JEE Main 2004

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