AS & A Level Mathematics (9709) — May–June 2024, Paper 43
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Two particles P and Q of masses 0.2 kg and 0.5 kg respectively are at rest on a smooth horizontal plane. Particle P is projected with a speed 6 m s⁻¹ directly towards Q. After P…
Answer this question and get it marked →A particle of mass 0.2 kg is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point on a vertical wall. The particle is held…
Answer this question and get it marked →A car travels along a straight road with constant acceleration a m s⁻² (a 0), passing through points A, B and C in that order. Its speed at A is u m s⁻¹ in the direction AB. The…
Answer this question and get it marked →A particle travels in a straight line. Its velocity at time t s after leaving O is v m s⁻¹, where v = kt² − 4t + 3. The distance travelled in the first 2 s is 6 m, and v 0…
Answer this question and get it marked →The van (mass 4500 kg) is towing the trailer (mass 750 kg) down a straight hill inclined at an angle of θ to the horizontal, where sin θ = 0.05. They are connected by a light…
Answer this question and get it marked →A cyclist is travelling along a straight horizontal road. The total mass of the cyclist and her bicycle is 80 kg. There is a constant resistance force of magnitude 32 N to the…
Answer this question and get it marked →The track ABCD lies in a vertical plane: AB is smooth and inclined at 30° to the horizontal, BC is rough and horizontal, and CD is rough and inclined at 30° to the horizontal,…
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