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O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2014 · Q133 Marks

When the speed of a car is v m/s, its braking distance is d m. d is directly proportional to the square of v. When the speed of the car is 8 m/s the braking distance is 5 m. Find the formula for d in terms of v and hence find the braking distance when the speed of the car is 40 m/s.

  1. Find the formula for d in terms of v and hence find the braking distance when the speed of the car is 40 m/s.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [3] d = 5v²/64
  2. 125
  3. M1 for d=kv², or for 5 = k × 64;
  4. B1 for k = 5/64, or for d/5 = v²/8²

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 1, question 13.

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