2025 AHS PRELIMS P2 Q10
2025 AHS PRELIMS P2 Q10
Secondary 4
10 marks
A particle travels in a straight line such that at time \(t\) seconds after leaving a point \(A\), which has a displacement of 2 metres from a fixed point \(O\), its velocity, \(v\) m s\(^{-1}\) is given by
\[v=3t^2-21t+18\]
Find,
- the minimum velocity of the particle,[3]
- the time(s) at which the particle is instantaneously at rest,[1]
- the total distance travelled in the first 7 seconds.[6]
Solution:
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Answer:(a) \(-\dfrac{75}{4}\text{ m s}^{-1}\) (b) \(t=1\text{ s}\) or \(t=6\text{ s}\) (c) \(79.5\text{ m}\)
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