Aparticle moves according to the law of motion s(t) = t^{3}-8t^{2}+2t, t\ge 0, where t is measured in seconds and s in feet. a.) find the velocity at time t. b.) what is the velocity after 3 seconds?c.) when is the particle at rest? enter your answer as a comma separated list. enter none if the particle is never at rest. at t_1= and t_2= with t_1

Explanation:

Given

displacement is given by

so velocity is given by

(b)velocity after

(c)Particle is at rest

when its velocity will become zero

i.e.  

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explanation:

the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting