Mathematics M1,M2,M3 WME01: Further Kinematics Topical Past Paper Questions

A particle P is moving along a straight line. At time $t$ seconds ($t \geqslant 0$), $P$ is a distance $x$ metres from a fixed point $O$ on the line and is moving away from $O$ with speed $\frac{8x}{3+x^{2}} \text{m s}^{-1}$ (a) Find the magnitude of the acceleration of P when x…

A parue. At time $t$ seconds, where $t \geqslant 1$ - the displacement of P from O is x metres in the positive x direction, where $ x (4) (b) find v in terms of t. (5)

In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. A particle P is moving in a straight line. At time $t$ seconds, the speed, $v \mathrm{~m s}^{-1}$, of $P$ is given by the continuous function $$ \nu=\left\{\b…