Mark the correct alternative in the following:

The equation of motion of a particle is s = 2t2 + sin 2t, where s is in metre and t is in seconds. The velocity of the particle when its acceleration is 2m/sec2, is


If we are given the distance travelled(s) as a function of time, we can calculate velocity(v) and acceleration(a) by

and a


s(t)= 2t2 + sin2t


differentiating w.r.t. time, we get


– (1)


Differentiating again w.r.t. time, we get


a


Given that a=2 ⇒ 4-4sin2t=2 or




⇒

1