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Kinematics - Interpreting and Sketching Motion Graphs

Kinematics - Interpreting and Sketching Motion Graphs

Secondary 3

The diagram below shows the distance-time graph for the first \(100\) minutes of the journey of a ferry along a river.

Distance-time graph for a ferry journey
Distance-time graph for a ferry journey
  1. Find the average speed in km/h of the ferry between \(t = 50\) min and \(t = 70\) min.
  2. The speed increases uniformly between \(t = 50\) min and \(t = 70\) min.
    At \(t = 50\) min, the speed is \(0\) km/h.
    Hence, find the speed in km/h of the ferry at \(t = 70\) min.
  3. On the grid in the answer space below, sketch the speed-time graph for the first \(100\) minutes of the journey.
    List item image

Solution:

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Answer:(a) \(18\text{ km/h}\). (b) \(36\text{ km/h}\). (c) \(30\), then \(0\), then a linear rise from \(0\) to \(36\), then \(36\text{ km/h}\), over the four marked intervals.

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