A-LevelMathematicsMechanics9709/41 · Oct/Nov 2023 · Q13 Marks

A particle of mass 1.6kg is projected with a speed of 20ms¯¹ up a line of greatest slope of a smooth plane inclined at α to the horizontal, where tan α = 3/4. Use an energy method to find the distance the particle moves up the plane before coming to instantaneous rest.

Mark scheme

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

[B1] For either the correct potential energy or kinetic energy term. Need not be evaluated.
[M1] Attempt at energy equation; 2 relevant terms. Dimensionally correct but allow sign errors. Allow sin/cos mix and sin(36.869...) but sina (oe) must have been substituted. M0 for 1.6gxxx.
[A1] Allow 33.3.

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

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