A-LevelMathematicsMechanics9709/41 · May/June 2023 · Q34 Marks

A particle moves in a straight line starting from rest. The displacement s m of the particle from a fixed point O on the line at time t s is given by s = t − 1 + 6. Find the value of s when the particle is again at rest.

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

[*M1] For an attempt at differentiation. Decrease power by 1 and a change in coefficient in at least one term. v = s/t is M0.
[A1] Allow unsimplified, including indices (including a +c is A0).
[DM1] Attempting to find t by equating v to 0 and attempt to solve a linear equation for t (if correct t = 2.25). Must be of the form t = ...
[A1] Condone 0.938.

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source: A-Level Mathematics, May/June 2023 Paper 4 Variant 1, question 3.

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