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If force on a particle vecF = (Sin at)ha...

If force on a particle `vecF = (Sin at)hati + (cos at)hatj` and displacement `vecS = sin(frac{at}{3}hati) + cos(frac{at}{3})hatj` 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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