AS & A Level Mathematics (9709) — October–November 2024, Paper 41
8 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Two particles, of masses 1.8 kg and 1.2 kg, are connected by a light inextensible string that passes over a fixed smooth pulley. The particles hang vertically. The system is…
Answer this question and get it marked →A particle of mass 7.5 kg, starting from rest at A, slides down an inclined plane AB. The point B is 12.5 metres vertically below the level of A, as shown in the diagram. Given…
Answer this question and get it marked →Coplanar forces of magnitudes 52 N, 39 N and P N act at a point in the directions shown in the diagram. The system is in equilibrium. Find the values of P and θ. [4]
Answer this question and get it marked →A bus travels between two stops, A and B. The bus starts from rest at A and accelerates at a constant rate of a m s^-2 until it reaches a speed of 16 m s^-1. It then travels at…
Answer this question and get it marked →A particle, A, is projected vertically upwards from a point O with a speed of 80 m s^-1. One second later a second particle, B, with the same mass as A, is projected vertically…
Answer this question and get it marked →A particle of mass 1.2 kg is placed on a rough plane which is inclined at an angle θ to the horizontal, where sin θ = 7/25. The particle is kept in equilibrium by a horizontal…
Answer this question and get it marked →A car has mass 1200 kg. When the car is travelling at a speed of v m s^-1, there is a resistive force of magnitude kv N. The maximum power of the car's engine is 92.16 kW. (a) The…
Answer this question and get it marked →A particle P moves in a straight line, passing through a point O with velocity 4.2 m s^-1. At time t s after P passes O, the acceleration, a m s^-2, of P is given by a = 0.6t −…
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