Suppose that a cars x-acceleration during a certain time period is given by the function a(t) = -bt. If the cars x-velocity at t=0 is 32m/s, and b=1m/s^2, how long will it take the car to come to rest.

Answer 1

V = Vo + a*t.
0 = 32 - 1*t, t = 32 s.