2025 NASS PRELIMS P1 Q11

2025 NASS PRELIMS P1 Q11

Secondary 4
9 marks
2025 Ngee Ann Secondary School Prelims A Math Paper 1

A particle starts from rest and travels in a straight line such that \(t\) seconds after leaving a fixed point \(O\), the acceleration \(a\ \text{m/s}^2\), is given by \(a=4t-3\). Find

  1. the velocity of the particle when \(t=1\),[2]
  2. the distance of the particle from \(O\) when it comes to an instantaneous rest,[4]
  3. the total distance travelled by the particle in the first 5 seconds. Leave your answer in exact form.[3]

Solution:

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Answer:(a) \(-1\text{ m/s}\) (b) \(\frac{9}{8}\text{ m}\) (c) \(\frac{577}{12}\text{ m}\)

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