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3 marksDerivative as a Rate of Change (Kinematics and Related Rates)

CSEC Additional Mathematics · 2016 · Paper 2 · Question 8(a)(iii)

A motorist starts from point X, travels 100 m due North to point Y at a constant speed of 5 m s⁻¹. Stays at Y for 40 seconds. Then travels at a constant speed of 10 m s⁻¹ for 200 m due South to point Z.

Calculate the average velocity of the whole journey.

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Other parts of this question

  1. 8(a)(i)On the following grid, draw a displacement-time graph to display this information.[5 marks]
  2. 8(a)(ii)Calculate the average speed for the whole journey.[3 marks]
  3. 8(b)(i)Find the velocity of the particle in terms of t.[3 marks]
  4. 8(b)(ii)Calculate the displacement of the particle in the interval of time t = π to t = 2π.[6 marks]

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