A-LevelMathematicsMechanics9709/43 · May/June 2020 · Q47 Marks

A car starts from rest and moves in a straight line with constant acceleration am s⁻² for a distance of 50 m. The car then travels with constant velocity for 500 m for a period of 25 s, before decelerating to rest. The magnitude of this deceleration is 2a m s⁻².

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Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

[B1] Trapezium shape with gradient of right-hand side approximately 2 times left side
[B1] Constant velocity = 500/25 = 20 ms⁻¹
[M1] 20² = 0 + 2a × 50
[A1] a = 4
[B1] Time to accelerate = 20/4 = 5 s
[B1] Deceleration time = 2.5 s
[B1] So total time = 5 + 25 + 2.5 = 32.5 s

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 7 marks.
Source: A-Level Mathematics, May/June 2020 Paper 4 Variant 3, question 4.

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