Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ travels along a straight line from the point $O$. After $t\,\text{s}$ have passed since leaving $O$, the velocity, $v\,\text{m s}^{-1}$, of $P$ is given by $v = (15 - 2t)^2$.
(a)[2]
Find the values of $t$ when the velocity of $P$ is $100\,\text{m s}^{-1}$.
(b)[3]
Show that there is one specific value of $t$ for which both the velocity and acceleration of the particle are zero.
(c)[4]
Find the displacement of $P$ from $O$ at the time when the particle has both zero velocity and zero acceleration.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct time $t=2.5$ or $\tfrac52$.” …