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

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^(@)`