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A-LevelMathematicsMechanics9709/41 · May/June 2020 · Q37 Marks

A particle P is projected vertically upwards with speed 5 m s⁻¹ from a point A which is 2.8 m above horizontal ground.

  1. (a)Find the greatest height above the ground reached by P.[3]
  2. (b)Find the length of time for which P is at a height of more than 3.6 m above the ground.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [M1] 0 = 5² - 2gs
  2. [A1] s = 1.25
  3. [A1] [Height above ground =] 4.05 m
  4. [M1] Use of s = ut + ½ at²
  5. [A1] 0.8 = 5t - 5t²
  6. [M1] t = 0.2 or 0.8
  7. [A1] Length of time = 0.6 s

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 7 marks.
Source
A-Level Mathematics, May/June 2020 Paper 4 Variant 1, question 3.

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