A-LevelMathematicsMechanics9709/42 · Feb/Mar 2021 · Q13 Marks

Two particles P and Q of masses 0.2 kg and 0.3 kg respectively are free to move in a horizontal straight line on a smooth horizontal plane. P is projected towards Q with speed 0.5 ms¯¹. At the same instant Q is projected towards P with speed 1 ms¯¹. Q comes to rest in the resulting collision.

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2021). The mark or mark type is shown in brackets.

[1] For initial momentum for either particle. Allow kg or g.
[1] For conservation of momentum. Dimensions correct. Allow if 3 relevant momentum terms are seen regardless of sign.
[1] Allow if final answer given as v = 1 or speed = 1 from an equation whose solution is v = -1

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source: A-Level Mathematics, Feb/Mar 2021 Paper 4 Variant 2, question 1.

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