(c) the acceleration of the particle is 2a
(d) at t = 2s particle is at the origin.
Explanation:
The velocity at any instant is given by v=dx/dt=u+2a(t-2) initial velocity is the velocity at t=0, putting this value we get v=u-4a which is not zero.
So, (a) is incorrect. Acceleration is given by dv/dt =2a, So (b) is incorrect and (c) is correct. Putting t=2 * in the given displacement equation we get x=0, so (d) is also correct.