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A-LevelMathematicsMechanics9709/43 · Oct/Nov 2022 · Q13 Marks

A particle P is projected vertically upwards with speed ums¯¹ from a point on the ground. P reaches its greatest height after 3 s.

  1. (a)Find u.[1]
  2. (b)Find the greatest height of P above the ground.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [B1] u = 30 From v = u + at or equivalent.
  2. [M1] 0=30²-2×10×s Use of suvat formulae.
  3. [A1 FT] Greatest height = 45m FT u²/2g with their u from (a).

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Oct/Nov 2022 Paper 4 Variant 3, question 1.

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