The position of a particle moving along a straight line is given by metres

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

Problem

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

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

metres, where

t

is in seconds. Find its instantaneous velocity at

t = 3\,\text{s}