1.      The position of a car moving in a straight line at position s(t) measured in feet at time t...

1.      The position of a car moving in a straight line at position s(t) measured in feet at time t measured in seconds where s(t) = -2t^3+6t+8,

 ,

a.      What is the instantaneous velocity of the car at t = 3s?

b.      After how many seconds the cat stops?

c.       What is s'(t) = ? Let a(t)=s'(t) call a'(t) acceleration function.  What is the car’s acceleration at t = 3?