2025 MSHS PRELIMS P2 Q8
2025 MSHS PRELIMS P2 Q8
Secondary 4
11 marks
A particle \(P\) moves in a straight line and passes through a fixed point \(O\) so that its velocity, \(v\) m/s is given by \(v=t^2-5t+4\), where \(t\) is the time in seconds after passing \(O\).
- Find the values of \(t\) when the particle is instantaneously at rest.[2]
- Find the values of \(t\) when the particle returns to \(O\).[4]
- Find the acceleration of the particle when it first returns to \(O\).[2]
- Find the average speed during the first 5 seconds.[3]
Solution:
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Answer:(a) \(t=1\text{ s}\) or \(4\text{ s}\) (b) \(t=2.31\text{ s}\) or \(5.19\text{ s}\) (c) \(-0.372\text{ m s}^{-2}\) (d) \(1.63\text{ m s}^{-1}\)
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