and so i got thrown into the sea without knowing how to swim again...

A particle moves in a straight line so that at time t seconds after leaving a fixed point of origin O, it's displacement is s metres and is governed by the equation

. The initial velocity(v) of the particle is

. Find the total distance travelled when the particle comes to rest at t = 2.5s

I kind of got near

which is the answer when i differentiated s twice to get the acceleration so i figured the answer is derived from there but i can't seem to get to the answer.. any pointers? thanks!