(a)[4]
Show that the length of $AB$ is $250\,\text{m}$.
(b)[3]
Find the cyclist’s maximum velocity.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A cyclist sets off from rest at point $A$ and moves along the straight road $AB$, then comes to rest again at $B$. The cyclist’s displacement from $A$ after $t$ seconds is $s\,\text{m}$, where $s = 0.004(75t^2 - t^3)$.