An object moves along a straight line and its position at time (in seconds) is given…

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

An object moves along a straight line and its position at time

t

(in seconds) is given by

x(t)=\frac{t^{3}}{3}-\frac{5 t^{2}}{2}+6 t

On the interval

0 \leq t \leq 5

, compute the total distance travelled and hence the average speed.