O-LevelAdditional MathematicsDifferentiation and integrationOct/Nov 2021Paper 1 Q1111 Marks
(a) The diagram shows the velocity-time graph for a particle P, travelling in a straight line with velocity vms⁻¹ at a time t seconds. P accelerates at a constant rate for the first 10s of its motion, and then travels at constant velocity, 30ms⁻¹, for another 15s. P then accelerates at a constant rate for a further 10s and reaches a velocity of 60ms⁻¹. P then decelerates at a constant rate and comes to rest when t = 55. [Figure 11.1] (b) A particle Q travels in a straight line such that its velocity, `vms⁻¹`, at time `ts` after passing through a fixed point O is given by `v = 4 cos3t-4`.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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