Question

The distance moved by the particle in time is given by x = t³ – 12t² + 6t + 8. At the instant when its acceleration is zero, the velocity is

A. 42

B. -42

C. 48

D. -48

Answer 1

Correct answer is B.

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

differentiating w.r.t. time, we get

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