The displacement of a toy car moving along a straight track is given by metres

MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The displacement of a toy car moving along a straight track is given by

x(t)=5t^{2}-2t

metres, where

t

is in seconds. (i) Calculate the average velocity of the car between

t=0\,\text{s}

and

t=4\,\text{s}

. (ii) Determine the instantaneous velocity at

t=2\,\text{s}

. (iii) Compare the values obtained in parts (i) and (ii) and hence comment on whether the motion is uniform or non-uniform during the interval

0\,\text{s}

4\,\text{s}