(i)[4]
Given that $P$ comes to rest when $t = 3$, find $v$ at $t = 0$.
(ii)[3]
Calculate the distance covered by $P$ over the interval $0 \leq t \leq 3$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ with mass $0.25\,\text{kg}$ travels along a straight line on a smooth horizontal surface. At time $t$ s, its velocity is $v\,\text{m s}^{-1}$. A variable force of magnitude $3t\,\text{N}$ acts in the opposite direction to the motion of $P$.