An interval without a stationary velocity

An interval without a stationary velocity

5 marks
TGM Original
A particle has velocity v=2t+1 m,s-1 for 1 <= t 4 seconds. Find the greatest and least speeds and explain why solving a=0 would miss them.

Solution:

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Answer:Least speed \(3\ \mathrm{m\,s^{-1}}\) at \(1\) s; greatest speed \(9\ \mathrm{m\,s^{-1}}\) at \(4\) s. They occur at endpoints; acceleration never vanishes.

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