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A-LevelMathematicsMechanics9709/41 · Oct/Nov 2025 · Q14 Marks

A car of mass 900kg is moving along a straight horizontal road against a constant resistance to motion of 350N. At an instant when the car is moving at 15 ms⁻¹ its acceleration is 0.25 ms⁻².

  1. (a)Find the driving force of the car's engine at this instant.[2]
  2. (b)Find the power of the car's engine at this instant.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.

  1. [M1] Attempt at N2L – correct number of terms. Allow sign errors but must be dimensionally correct.
  2. [A1] D = 575 N
  3. [M1] Use of P=D×v with their D from 1(a) and v = 15.
  4. [A1] P=8625 W or 8.625 kW Allow 8625 without units, but 8.625 must have kW.

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2025 Paper 4 Variant 1, question 1.

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