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A-LevelMathematicsMechanics9709/42 · Oct/Nov 2019 · Q14 Marks

A particle moves in a straight line. The displacement of the particle at time ts is sm, where s = t³ – 6t² + 4t. Find the velocity of the particle at the instant when its acceleration is zero.

  1. Find the velocity of the particle at the instant when its acceleration is zero.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [M1] (v =) 3t² – 12t + 4
  2. [M1] (a =) 6t - 12
  3. [DM1] Solve to find t when a = 0 and find v at this time
  4. [A1] v = -8 ms⁻¹

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2019 Paper 4 Variant 2, question 1.

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