Answer :

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

and a

x(t)= t^{3} – 12t^{2} + 6t + 8

differentiating w.r.t. time, we get

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

a

Given that a=0 ⇒ 6t-24=0 or t=4 units

v(4)=3×4^{2} -24×4+6 =-42

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

The side of an eqMathematics - Board Papers

For the curve, <sMathematics - Board Papers

The money to be sMathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

The side of an eqMathematics - Board Papers

The volume of a sMathematics - Board Papers