The position of a particle moving in a x - y plane at any instant is given by`x= (3t^(2)-6t)` metres `y = (t^(2)-2t)` metres. Select the correct statement.

Options

A. Acceleration is zero at i = 0
B. Velocity is zero at t = 0
C. Velocity is zero at 1 sec.
D. Velocity and acceleration are never zero.

Answer

c

Explanation

Here `(dx)/(dx)=6t-6=v_(x)`
and `(dy)/(dt)=v_(y)=2t-2`
Both components will be zero for t =1 so velocity is ZERO for t= 1s