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A-LevelMathematicsMechanics9709/42 · Feb/Mar 2020 · Q14 Marks

A lorry of mass 16000 kg is travelling along a straight horizontal road. The engine of the lorry is working at constant power. The work done by the driving force in 10 s is 750 000 J.

  1. (a)Find the power of the lorry's engine.[1]
  2. (b)There is a constant resistance force acting on the lorry of magnitude 2400 N. Find the acceleration of the lorry at an instant when its speed is 25 ms⁻¹.[3]

Mark scheme

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

  1. [B1] Power = WD/Time
  2. [B1FT] Using P = DF × v
  3. [M1] Using Newton's 2nd law
  4. [A1] Allow a = 3/80

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About this question

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

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