Extrema for an exponential velocity
Extrema for an exponential velocity
6 marks
TGM Original
A particle has velocity v=3-6e-t m,s-1 for 0 <= t <= ln6 seconds. Find its greatest and least velocities and speeds, with their times.
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Answer:Least velocity \(-3\) at \(0\) s; greatest velocity \(2\) at \(\ln6\) s. Greatest speed \(3\) at \(0\) s; least speed \(0\) at \(\ln2\) s. Nonzero values are in \(\mathrm{m\,s^{-1}}\).
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