Mathematics M1,M2,M3 WME01: Kinematics of a Particle Moving in a Straight Line Topical Past Paper Questions

Figure 1 A particle P starts from rest at time t = 0 and moves in a straight line • from $t=0$ to $t=12$s, P accelerates uniformly until it reaches a speed of $3U_{m}s^{-1}$ • from $t=12$ s to $t=31$ s, $P$ moves with constant speed $3Um\,s^{-1}$ • from $t=31$ s to $t=41$ s, $P$…

A particle is projected vertically upwards with speed $ U_{m}s^{-1} $ from a point A. The point $A$ is 12 m vertically above the point $B$. Point $B$ is on horizontal ground. The particle moves freely under gravity until it hits the ground at $B$. The time taken for the particle…

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…