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

Question

A particle has velocity v=4sin t m,s-1 for 0 <= t 3pi/2 seconds. Find its greatest and least velocities and speeds, with every time each occurs. Angles are in radians.

Accepted Answer

Greatest velocity $4$ at $\dfrac{\pi}{2}$ s; least velocity $-4$ at $\dfrac{3\pi}{2}$ s. Greatest speed $4$ at $\dfrac{\pi}{2},\dfrac{3\pi}{2}$ s; least speed $0$ at $0,\pi$ s. Nonzero values are in $\mathrm{m\,s^{-1}}$.

Equal greatest speeds at different velocities

Equal greatest speeds at different velocities

Solution:

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