Mathematics A H230: Kinematics Topical Past Paper Questions

A man P runs in a straight line from O to A, leaving O at time t = 0. At time t seconds his velocity $ v_{ms}^{-1} $ is given by $ v = 5 + 0.003t^{2} $. Another man $Q$ runs from $O$ to $A$ at a constant speed of $7.08\,\mathrm{m\,s}^{-1}$, starting 5 seconds after $P$. (a) Show…

Two balls P and Q have masses 0.6kg and 0.4kg respectively. The balls are attached to the ends of a string. The string passes over a pulley which is fixed at the edge of a rough horizontal surface. Ball P is held at rest on the surface 2m from the pulley. Ball Q hangs vertically…

A particle P moves in a straight line. At time t seconds, where $ t \geq 0 $, the velocity of P is $ v \, m \, s^{-1} $. It is given that $ v = -3t^{2} + 24t + k $, where k is a positive constant. The diagram shows the velocity-time graph for the motion of P. P attains its maximu…