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A-LevelMathematicsMechanics9709/51 · Oct/Nov 2019 · Q26 Marks

A particle is projected from a point on horizontal ground with speed 15 m s¯¹ at an angle of θ° above the horizontal. The particle strikes the ground 2 s after projection.

  1. (i)Find θ.[2]
  2. (ii)Calculate the time after projection at which the direction of motion of the particle is 20° below the horizontal.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [M1] Use v = u + at vertically
  2. [A1] (0=) 41.8
  3. [M1] v = vertical velocity
  4. [A1] v = (±)4.07
  5. [M1] Use v = u + at vertically
  6. [A1] (t =) 1.41 s

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, Oct/Nov 2019 Paper 5 Variant 1, question 2.

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