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A-LevelMathematicsMechanics9709/53 · Oct/Nov 2018 · Q14 Marks

A small ball B is projected with speed 30 m s⁻¹ at an angle of 60° to the horizontal from a point on horizontal ground. Find the time after projection when the speed of B is 25 m s⁻¹ for the second time.

  1. (a)A small ball B is projected with speed 30 m s⁻¹ at an angle of 60° to the horizontal from a point on horizontal ground. Find the time after projection when the speed of B is 25 m s⁻¹ for the second time.[4]

Mark scheme

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

  1. [M1] v = vertical velocity at the required point
  2. [A1] v = (±) 20
  3. [M1] Use v = u + at vertically (-20 = 30sin60 – gt)
  4. [A1] t = 4.6(0) s

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2018 Paper 5 Variant 3, question 1.

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