(a)[5]
Show that $k = 10$.
(b(i))[1]
Verify that $v = 0$ when $t = 1$ and $t = 16$.
(b(ii))[5]
Find the distance travelled by the particle in the first $16\,\text{s}$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels along a straight line, beginning at point $O$. At time $t\,\text{s}$ after leaving $O$, its velocity is $v\,\text{m s}^{-1}$. It is given that $v = kt^2 - 2t - 8$, where $k$ is a positive constant. The greatest velocity of the particle is $4.5\,\text{m s}^{-1}$.
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