A particle has velocity v=t2-4t+1 m,s-1 for 0

Question

A particle has velocity v=t2-4t+1 m,s-1 for 0 <= t 5 seconds. Find its greatest and least velocities, and its greatest and least speeds, stating every time each occurs.

Accepted Answer

Greatest velocity $6\ \mathrm{m\,s^{-1}}$ at $5$ s; least velocity $-3\ \mathrm{m\,s^{-1}}$ at $2$ s. Greatest speed $6\ \mathrm{m\,s^{-1}}$ at $5$ s; least speed $0$ at $t=2\pm\sqrt3$ s.

Comparing endpoint and stationary velocities

Comparing endpoint and stationary velocities

Solution:

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