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2 marksTime, Distance and Speed Problems

CSEC Mathematics · May/June 2011 · Paper 2 · Question 9(c)(i)

Speed-time graph shows a three-stage journey of a racing car over 60 seconds. During the FIRST stage, speed increased from 0 m/s to 12 m/s in x seconds, accelerating at 0.6 m/s².

Calculate the value of x.

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Other parts of this question

  1. 9(a)Solve the pair of simultaneous equations: y = x² - x + 3 and y = 6 - 3x.[5 marks]
  2. 9(b)(i)Express the function f(x) = 4x² - 8x - 2 in the form a(x + h)² + k, where a, h and k are constants.[2 marks]
  3. 9(b)(ii)State the minimum value of f(x).[1 mark]
  4. 9(b)(iii)State the value of x for which f(x) is a minimum.[1 mark]
  5. 9(c)(ii)What is the gradient of the graph during the SECOND stage? Explain, in one sentence, what the car is doing during this stage.[2 marks]
  6. 9(c)(iii)Calculate the distance travelled by the car on the THIRD stage of the journey.[2 marks]

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