A particle has velocity v=t3-3t2+2 m,s-1 for 0

Question

A particle has velocity v=t3-3t2+2 m,s-1 for 0 <= t 3 seconds. Find its greatest and least velocities and speeds, with every time each occurs.

Accepted Answer

Greatest velocity $2$ at $0,3$ s; least velocity $-2$ at $2$ s. Greatest speed $2$ at $0,2,3$ s; least speed $0$ at $1,1+\sqrt3$ s. Nonzero values are in $\mathrm{m\,s^{-1}}$.

Repeated extrema on a closed time interval

Repeated extrema on a closed time interval

Solution:

Solution locked