Kinematics - Interpreting and Sketching Motion Graphs

Kinematics - Interpreting and Sketching Motion Graphs

Secondary 3

The diagram below shows Car \(A\) travelling at a uniform speed of \(60\) m/s.
Car \(B\) accelerated uniformly from rest to reach a speed of \(80\) m/s in \(10\) s.

Speed-Time Graph for Car A and Car B
Speed-Time Graph for Car A and Car B

Find

  1. the acceleration of Car \(B\) from \(0\) to \(10\) s.
  2. the time when both cars were travelling at the same speed.
  3. the time when Car \(B\) overtook Car \(A\).

For the overtaking calculation in (c), assume the cars start at the same position at time zero and travel in the same direction. Their initial separation is otherwise unspecified.

Solution:

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Answer:(a) \(8\text{ m/s}^2\). (b) \(7.5\) s. (c) \(20\) s, assuming the same starting position and direction.

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