Acceleration proportional to time

Acceleration proportional to time

5 marks
TGM Original
A particle has acceleration a=-12t m,s-2 for t 0 seconds, with v(0)=6 m,s-1 and s(0)=1 m. Find its displacement and its first rest time.

Solution:

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Answer:\(s=1+6t-2t^3\) m; first at rest at \(1\) s.

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