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A-LevelMathematicsMechanics9709/43 · May/June 2021 · Q46 Marks

A particle is projected vertically upwards with speed u m s⁻¹ from a point on horizontal ground. After 2 seconds, the height of the particle above the ground is 24 m.

  1. (a)Show that u = 22.[2]
  2. (b)The height of the particle above the ground is more than h m for a period of 3.6 s. Find h.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [M1] Use of s = ut + ½at²
  2. [A1] AG
  3. [M1] Use of v² = u² + 2as to find maximum height.
  4. [A1]
  5. [M1] Find distance travelled down in 1.8 s.
  6. [A1]

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2021 Paper 4 Variant 3, question 4.

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