The position of a body is given by where is in metres and in seconds

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

Problem

The position of a body is given by

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

where

x

is in metres and

t

in seconds. What is its instantaneous velocity at

t=2\,\text{s}

? (a)

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

(b)

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

(c)

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

(d)

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