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A particle moves in x-y plane and at tim...

A particle moves in x-y plane and at time t is at the point `(t^2, t^3 -2 t),` then which of the following is/are correct?

A

At `t=2//3 s`, directions of velocity and acceleration are perpendicular

B

At `t=0`, directions of velocity and acceleration are perpendicular

C

At `t=sqrt(2//3)s`, particle is moving parallel to x-axis

D

Acceleration of the particle when it is point (4, 4) is `(2hat(i)+12 hat(j)) m//s`

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