A-LevelMathematicsMechanics9709/41 · May/June 2024 · Q46 Marks

A car of mass 1700kg is pulling a trailer of mass 300kg along a straight horizontal road. The car and trailer are connected by a light inextensible cable which is parallel to the road. There are constant resistances to motion of 400N on the car and 150N on the trailer. The power of the car's engine is 14000 W.

Find the acceleration of the car and the tension in the cable when the speed is 20ms⁻¹.[6]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

[B1] OE, e.g. 20×DF =14000.
[*M1] Correct number of relevant terms (e.g. correct masses); allow sign errors.
[A2] A1 for one correct and A2 for any two correct. May have DF (or their DF) for 700 but A0 if using 14000 as DF without first stating DF. Must have same T if using first two equations for A2.
[DM1] From equations with the correct number of relevant terms. For both correct answers.
[A1] Condone 173.

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source: A-Level Mathematics, May/June 2024 Paper 4 Variant 1, question 4.

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