2025 CGSS PRELIMS P2 Q6
2025 CGSS PRELIMS P2 Q6
Secondary 4
10 marks
A particle, \(P\), starts moving in a straight line with a velocity of \(8\text{ m/s}\) at a displacement of \(3\text{ m}\) from a fixed point \(O\). The velocity, \(v\text{ m/s}\) of the particle \(t\) seconds after moving is given by \(v=5\cos t+2\sin t+c\).
- Find the value of \(c\).[2]
- Find the initial acceleration of the particle.[2]
- By explaining with relevant working, show the particle changed its direction of motion during the \(3^{\text{rd}}\) second.[3]
- Find displacement of \(P\) from \(O\) at \(t=6\).[3]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a) \(c=3\) (b) \(2\text{ m/s}^2\) (c) Changes direction at \(t=2.54\text{ s}\), during the \(3^{\text{rd}}\) second (d) \(19.7\text{ m}\)
Need help? Join our A-Maths tuition classes.
Learn more