The position of a body moving along a straight line is given by

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

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

, where

x

is in metres and

t

in seconds. Calculate its instantaneous velocity at

t=3.0\,\text{s}