AS & A Level Mathematics (9709) — May–June 2023, Paper 42
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A particle of mass 1.6 kg is dropped from a height of 9 m above horizontal ground. The speed of the particle at the instant before hitting the ground is 12 m s^-1. Find the work…
Answer this question and get it marked →Two particles A and B, of masses 3.2 kg and 2.4 kg respectively, lie on a smooth horizontal table. A moves towards B with a speed of v m s^-1 and collides with B, which is moving…
Answer this question and get it marked →Coplanar forces of magnitudes 30 N, 15 N, 33 N and P N act at a point in the directions shown in the diagram, where tan α = 4/3. The system is in equilibrium. In the diagram a…
Answer this question and get it marked →An athlete of mass 84 kg is running along a straight road. Initially the road is horizontal and he runs at a constant speed of 3 m s^-1. The athlete produces a constant power of…
Answer this question and get it marked →A particle of mass 0.6 kg is placed on a rough plane which is inclined at an angle of 35° to the horizontal. The particle is kept in equilibrium by a horizontal force of magnitude…
Answer this question and get it marked →A particle P starts at rest and moves in a straight line from a point O. At time t s after leaving O, the velocity of P, v m s^-1, is given by v = bt + ct^(3/2), where b and c are…
Answer this question and get it marked →Two particles P and Q, of masses 2 kg and 0.25 kg respectively, are connected by a light inextensible string that passes over a fixed smooth pulley. Particle P is on an inclined…
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