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A-LevelMathematicsMechanics9709/41 · Oct/Nov 2020 · Q25 Marks

A car of mass 1400 kg is moving along a straight horizontal road against a resistance of magnitude 350 N.

  1. (a)Find, in kW, the rate at which the engine of the car is working when it is travelling at a constant speed of 20 m s⁻¹.[2]
  2. (b)Find the acceleration of the car when its speed is 20 m s⁻¹ and the engine is working at 15 kW.[3]

Mark scheme

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

  1. [M1] Using P = Fv
  2. [A1] P = 7 kW
  3. [B1] Using P = Fv
  4. [M1] Use Newton's 2nd law, 3 terms
  5. [A1] a = 0.286

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Oct/Nov 2020 Paper 4 Variant 1, question 2.

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