Recovering velocity from an acceleration graph

Recovering velocity from an acceleration graph

Secondary 4
9 marks
TGM Original Questions

The diagram shows the acceleration-time graph of a particle moving along a straight line for \(0\leq t\leq5\). The graph is a straight line. At \(t=0\), the velocity is \(8\) m/s.

  1. Find expressions for the acceleration and velocity in terms of \(t\).[3]
  2. Find the times when the particle is at rest.[2]
  3. Find the total distance travelled in the five seconds.[4]

Solution:

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Answer:(a) \(a=2t-6\), \(v=t^2-6t+8\). (b) \(t=2,4\) s. (c) \(\frac{28}{3}\text{ m}\).

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