Anoop (A) hits a ball along the ground with a speed u in a direction which makes an angle `30^@` with the line joining him and the fielder Babul (B). Babul runs to intercept the ball With a speed `(2u)/3.` At What angle theta should he run to intercept the ball ?

Options

A. `sin^-1[sqrt3/2]`
B. `sin^-1[2/3]`
C. `sin^-1[3/4]`
D. `sin^-1[4/5]`

Answer

C

Explanation

Relative velocity of A with respect to B should be
along AB or absolute velocity components
perpendicular to AB should be same.
`:. (2u)/3 sin theta=u sin30^@.`
`:. theta=sin^-1(3/4)`