Maximum separation of two particles
Maximum separation of two particles
Secondary 4
7 marks
Original parallel to supplied A Math Kinematics references
Particles \(P\) and \(Q\) leave the same point \(O\) at the same time and move in the same direction. At time \(t\) seconds, their velocities are \(3t^2\text{ m s}^{-1}\) and \(12t\text{ m s}^{-1}\), respectively.
- Find the displacements of \(P\) and \(Q\) from \(O\) at time \(t\).[2]
- Find the positive time at which the particles meet again.[2]
- Find the greatest separation of the particles before they meet again.[3]
Solution:
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Answer:(i) \(x_P=t^3\), \(x_Q=6t^2\); (ii) \(t=6\text{ s}\); (iii) \(32\text{ m}\)
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