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. No , `0^@`
B. Yes , `30^@`
C. Yes , `60^@`
D. Yes , `45^@`

Answer

C

Explanation

Yes , the person can catch the ball when horizontal velocity is equal to the horizontal component of ball.s velocity , the motion of ball will be only in vertical direction with respect to person for that ,
`v_0/2 = v_0 cos theta` or `theta=60^@`