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

The person will be able to catch the ball when horizontal velocity of projectile is equal to velocity of the person.
`therefore v_(0) cos theta=v_(0)//2`
`cos theta=(1)/(2)rArrtheta=60^(@)`