The fastest motion has negative velocity

The fastest motion has negative velocity

6 marks
TGM Original
A particle has velocity v=-t2+6t-11 m,s-1 for 0 <= t 5 seconds. Find its greatest and least velocities and speeds, with their times.

Solution:

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Answer:Greatest velocity \(-2\) at \(3\) s, least velocity \(-11\) at \(0\) s; greatest speed \(11\) at \(0\) s, least speed \(2\) at \(3\) s. All velocity and speed values are in \(\mathrm{m\,s^{-1}}\).

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