An object moves with acceleration given by a = -6t^3 m/s^2. Its initial velocity at t = 0 is 5 m/s. How far will it move before stopping?
Assume that t is measured in seconds.
The velocity at time t is 5 + a t = 5 - 6t^4
It stops when V = 0.
5 - 6t^4 = 0 when t^4 = 5/6
t = the fourth root of 5/6
That is about 0.955 s.