The position of a runner along a straight track is given by metres

MATHEMATICS · Multi-part · A Level · Mathematics · Kinematics · Kinematics

Problem

The position of a runner along a straight track is given by s(t)=5t2−4t+1s(t)=5t^{2}-4t+1 metres, where tt is the time in seconds. (i) Calculate the runner’s average speed during the time interval t=2t=2 s to t=4t=4 s. (ii) Determine the runner’s instantaneous speed at t=3t=3 s.

Related theory

Browse the problem library