Q#12 (Past Exam Paper – November 2015 Paper 12 Q10)
A bus takes a time of 25 s to reach a constant speed while travelling in a straight line. A graph of speed v against time t is shown.
Which graph shows the variation with t of the resultant force F on the bus?
Solution:
Answer: A.
Resultant force F = ma
The resultant force is proportional to the acceleration.
From the velocity-time graph, the acceleration can be obtained from the gradient.
Time t = 0 to t = 5s: constant gradient, so the acceleration is constant (and thus, the force is also constant) [B, C and D are incorrect]
Time t = 5s to t = 10s: gradient is constant (same as before), then the line becomes steeper indicating a greater value of gradient. So, the acceleration (and the force) increases from one constant value to a greater constant value (as shown in A).
Time t = 10s to t = 55s: constant gradient, so the acceleration (and force) is constant (same as just before)
Time t = 15s to t = 25s: decreasing gradient, so the acceleration (and force) is decreasing
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