Position from a decaying velocity

Position from a decaying velocity

5 marks
TGM Original
A particle has velocity v=4e-2t m,s-1 for t 0 seconds and initial displacement -1 m. Find its displacement and when it passes the origin.

Solution:

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Answer:\(s=1-2\mathrm{e}^{-2t}\) m; passes the origin at \(t=\dfrac12\ln2\) s.

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