Mathematics A H230: Quantities and Units in Mechanics Topical Past Paper Questions

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…

In this question the horizontal unit vectors i and j are in the directions east and north respectively. A model ship of mass 2kg is moving so that its acceleration vector $ a \, \mathrm{m s^{-2}} $ at time t seconds is given by $ \mathbf{a} = 3(2t - 5)\mathbf{i} + 4\mathbf{j} $.…