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If force on a particle vec F = (sinat)ha...

If force on a particle `vec F = (sinat)hati + (cos at)hatj` and `displacement vecS = sin(at/3)hati+ cos (at/3 )hat j` are functions of time (t) then value of `t` at which they are perpendicular for first time is (a is positive constant and t>0)

A

`t=pi/2`

B

`t=((3pi)/(2a))`

C

`t=(3pi)/4a`

D

`t=pi/3`

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