Reading direction and distance from a velocity graph

Reading direction and distance from a velocity graph

Secondary 4
7 marks
TGM Original Questions

A particle moves along a straight line. Its velocity, \(v\) m/s, at time \(t\) seconds is \(v=(t-1)(t-5)\) for six seconds, \(0\leq t\leq6\). Its velocity-time graph is shown.

  1. State when the particle moves in the negative direction.[1]
  2. Find its acceleration when \(t=2\).[2]
  3. Find the total distance travelled in the six seconds.[4]

Solution:

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Answer:(a) \(1<t<5\). (b) \(-2\text{ m/s}^2\). (c) \(\frac{46}{3}\text{ m}\).

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