Mathematics

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}

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

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

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