The position of a particle moving along the -axis is given by (where is in metres and…

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

Problem

The position of a particle moving along the

x

-axis is given by

x(t)=4t^{2}-3t+2

(where

x

is in metres and

t

in seconds). Find the instantaneous speed of the particle at

t=2\,\text{s}

. (a)

8\,\text{m s}^{-1}

(b)

5\,\text{m s}^{-1}

(c)

13\,\text{m s}^{-1}

(d)

16\,\text{m s}^{-1}