A ball is thrown from a point with a speed v_o at an angle of pro… - Vidyadip

MCQ

A ball is thrown from a point with a speed ${v_o}$ at an angle of projection $\theta $. From the same point and at the same instant a person starts running with a constant speed ${v_o}/2$ to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection

✓
Yes, ${60^o}$
B
Yes, ${30^o}$
C
No
D
Yes, ${45^o}$

✓

Answer

Correct option: A.

Yes, ${60^o}$

a
(a) Person will catch the ball if its velocity will be equal to horizontal component of velocity of the ball.

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

$⇒$ $\cos \theta = \frac{1}{2}$

$⇒$ $\theta = 60^\circ $

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