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A-LevelMathematicsMechanics9709/51 · May/June 2018 · Q14 Marks

A small ball B is projected from a point O on horizontal ground. The initial velocity of B has horizontal and vertically upwards components of 18ms¯¹ and 25 ms¯¹ respectively. For the instant 4s after projection, find the speed and direction of motion of B.

  1. A small ball B is projected from a point O on horizontal ground. The initial velocity of B has horizontal and vertically upwards components of 18ms¯¹ and 25 ms¯¹ respectively. For the instant 4s after projection, find the speed and direction of motion of B.[4]

Mark scheme

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

  1. [M1] Vertical component of velocity = 25 - 4g; Use v = u + at
  2. [M1] v² = 18² + (25-4g)² or tanθ = (25-4g)/18
  3. [A1] v = 23.4 ms⁻¹
  4. [A1] θ = 39.8° below the horizontal

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2018 Paper 5 Variant 1, question 1.

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