WJEC A Level Further Mechanics A — Unit Papers & Mark Schemes

Collision problems require careful application of conservation of momentum and Newton’s experimental law (e = separation speed / approach speed). For oblique collisions, resolve velocities into components parallel and perpendicular to the line of centres before applying these principles. Always check that your final velocities are physically reasonable. Circular motion questions demand confident use of centripetal acceleration (v²/r or ω²r) and the forces that provide it. For vertical circular motion, identify the critical condition at the top of the circle where the minimum speed occurs. Set up force equations at specific positions (top, bottom, general angle) and solve simultaneously if needed. Differential equation questions often arise from mechanical models: a particle under variable resistance, or a damped oscillation. Practise separating variables, using integrating factors, and finding particular solutions that satisfy initial conditions. The mark scheme awards credit for clear modelling (setting up the equation from physical principles) as well as for correct solution.