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A-LevelMathematicsMechanics9709/41 · May/June 2018 · Q13 Marks

A particle P is projected vertically upwards with speed 24 m s¯¹ from a point 5 m above ground level. Find the time from projection until P reaches the ground.

  1. A particle P is projected vertically upwards with speed 24 m s¯¹ from a point 5 m above ground level. Find the time from projection until P reaches the ground.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [M1] Use s = ut + ½ at²
  2. [M1] Solve relevant 3 term quadratic
  3. [A1] t = 5
  4. [M1] Attempt to find the time taken to reach the highest point
  5. [M1] Find total height h reached and attempt to find time taken from highest point to ground level
  6. [A1] t = t₁ + t₂ = 5

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2018 Paper 4 Variant 1, question 1.

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