Rest without reversal

Rest without reversal

5 marks
TGM Original
A particle has displacement s=(t-2)3+1 metres for 0 <= t 4 seconds. Find its rest time and acceleration then. Decide, with a sign argument, whether it reverses direction at that time.

Solution:

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Answer:Rest at \(t=2\) s, with acceleration \(0\ \mathrm{m\,s^{-2}}\). It does not reverse: velocity is positive on both sides.

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