For a particle moving along a straight line

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

Problem

For a particle moving along a straight line, the displacement at time

t

seconds is given by

x = 2t^{3} - 9t^{2} + 12t + 7

metres. Calculate its instantaneous velocity at

t = 2\,\text{s}