The displacement of a particle moving along a straight line is given by (metres)

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The displacement of a particle moving along a straight line is given by

s(t)=t^4-4t^3+6t^2

(metres), where

t

is in seconds. What is its acceleration (in

\mathrm{m/s^2}

) at

t=2\,\text{s}

? (a)

24

(b)

12

(c)

0

(d)

-12