In this final step, the solution to the given problem will be determined analytically.
It is given that the deceleration is 

Integrate a(t) to find that the car's speed as a function of time is 

It is given that 

So, v_{0} = 88, and the car's speed as a function of time is 

Integrate v(t) to find the car's distance as a function of time 

It can be taken that 

How close is your answer? 