The position of a particlePon a linelis given by

s(t) = 2t³5t²+4t1,

where

s(t)

is in feet andtis in seconds. Find the velocity as a function of time.

v(t) = 6t210t+4

Determine the time intervals (in seconds) in which the particle moves in the positive direction and the negative direction. (Enter your answers as comma-separated lists of intervals.)

positive direction:

negative direction:

At what time(s) (in seconds) is the particle at rest? (Enter your answers as a comma-separated list.)

t= s