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 `('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` ?

Options

A. `Yes, 60^@`
B. `Yes, 30^@`
C. No
D. `Yes, 45^@`

Answer

A

Explanation

(a) For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,
`v_0 cos theta = (v_0)/(2) or cos theta = (1)/(2) or theta = 60^@`.