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A-LevelMathematicsMechanics9709/42 · May/June 2024 · Q13 Marks

A cyclist and bicycle have a total mass of 72kg. The cyclist rides along a horizontal road against a total resistance force of 28 N. Find the total work done by the cyclist to increase his speed from 8ms⁻¹ to 16ms⁻¹ while travelling a distance of 100 metres.

  1. (implicit)Find the total work done by the cyclist to increase his speed from 8ms⁻¹ to 16ms⁻¹ while travelling a distance of 100 metres.[3]

Mark scheme

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

  1. [B1] Correct expression for either KE or correct expression for work done against resistance.
  2. [M1] 4 terms; allow sign errors; dimensionally correct.
  3. [A1] OE. Condone 9710J. Do not ISW.
  4. [B1] Use of suvat in a complete method to find an expression for a. Must be of the form 'a =...'.
  5. [M1] Three terms; dimensionally correct; allow sign errors; must be using their value of a.
  6. [A1] OE. Condone 9710 J. Do not ISW.

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2024 Paper 4 Variant 2, question 1.

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