AS & A Level Mathematics (9709) — May–June 2024, 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 cyclist and bicycle have a total mass of 72 kg. The cyclist rides along a horizontal road against a total resistance force of 28 N. Find the total work done by the cyclist to…
Answer this question and get it marked →A particle P moves in a straight line. At time t s after leaving a point O on the line, P has velocity v m s^-1, where v = 44t − 6t^2 − 36. Find the set of values of t for which…
Answer this question and get it marked →Four coplanar forces of magnitude P N, 10 N, 16 N and 2 N act at a point in the directions shown in the diagram. It is given that the forces are in equilibrium. In the diagram, a…
Answer this question and get it marked →A car has mass 1400 kg. When the speed of the car is v m s^-1 the magnitude of the resistance to motion is kv^2 N where k is a constant. The car moves at a constant speed of 24 m…
Answer this question and get it marked →A particle of mass 0.8 kg lies on a rough plane which is inclined at an angle of 28° to the horizontal. The particle is kept in equilibrium by a force of magnitude T N. This force…
Answer this question and get it marked →Three particles A, B and C of masses 5 kg, 1 kg and 2 kg respectively lie at rest in that order on a straight smooth horizontal track XYZ. Initially A is at X, B is at Y and C is…
Answer this question and get it marked →Two particles P and Q of masses 2.5 kg and 0.5 kg respectively are connected by a light inextensible string that passes over a small smooth pulley fixed at the top of a plane…
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