(a)[4]
Show that the particle's initial speed is zero.
(b)[2]
Find the maximum speed of the particle.
(c)[4]
Find the distance between $A$ and $B$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle moves along a straight line from $A$ to $B$ in $20\,\text{s}$. At $t$ seconds after departing from $A$, its acceleration is $a\,\text{m s}^{-2}$, where $a = \frac{3}{160}t^2 - \frac{1}{800}t^3$. It is stated that the particle is at rest when it reaches $B$.