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Anoop (A) hits a ball along the ground w...

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 ?

A

`sin^-1[sqrt3/2]`

B

`sin^-1[2/3]`

C

`sin^-1[3/4]`

D

`sin^-1[4/5]`

Text Solution

Verified by Experts

The correct Answer is:
C
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)`
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