AS & A Level Mathematics (9709) — May–June 2024, Paper 41
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A car starts from rest and accelerates at 2 m s⁻² for 10 s. It then travels at a constant speed for 30 s. The car then uniformly decelerates to rest over a period of 20 s. Sketch…
Answer this question and get it marked →Two forces of magnitudes 20 N and F N act at a point P in the directions shown in the diagram (the 20 N force acts at 60° above the positive x-axis; the F N force acts vertically…
Answer this question and get it marked →A train of mass 180 000 kg ascends a straight hill of length 1.5 km, inclined at an angle of 1.5° to the horizontal. As it ascends the hill, the total work done to overcome the…
Answer this question and get it marked →A car of mass 1700 kg is pulling a trailer of mass 300 kg along a straight horizontal road. The car and trailer are connected by a light inextensible cable which is parallel to…
Answer this question and get it marked →A straight slope of length 60 m is inclined at an angle of 12° to the horizontal. A bobsled starts at the top of the slope with a speed of 5 m s⁻¹ and slides directly down the…
Answer this question and get it marked →A particle moves in a straight line, starting from a point O. The velocity of the particle at time t s after leaving O is v m s⁻¹. It is given that v = kt^(1/2) − 2t − 8 (that is,…
Answer this question and get it marked →A particle P of mass 0.2 kg is projected vertically upwards from horizontal ground with speed 25 m s⁻¹. Show that the speed of P when it reaches 20 m above the ground is 15 m s⁻¹.
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