(a)[2]
Find the values of $t$ for which $P$ is momentarily at rest.
(b)[2]
Find $P$'s initial acceleration.
(c)[2]
Find $P$'s minimum velocity.
(d)[4]
Find the distance travelled by $P$ during the period when its velocity is negative.
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. It begins at a point $O$ on the line and, after $t$ s from leaving $O$, its velocity is $v\,\text{m s}^{-1}$, where $v = 4t^2 - 20t + 21$.