A particle moving towards the origin

A particle moving towards the origin

5 marks
TGM Original
A particle has velocity v=-3t2 m,s-1 for t 0 seconds and initial displacement 7 m. Find its displacement and the time it first reaches the origin, giving the time exactly and to three significant figures.

Solution:

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Answer:\(s=7-t^3\) m; reaches the origin at \(t=\sqrt[3]{7}\approx1.91\) s.

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