In order to find the traveling distance,
the time spent on stopping the car should to be calculated first. The
velocity function is
v_{t} = v_{0} + at
in which v_{0} = 10, v_{t } = 0 and a = 5. Substituting
v_{0}, v_{0} and a into the above equation gives
t = 2.0
The stopping distance is the integral of velocity with respect to time,
that is
In the above equation, the lower limit is the time that the car starts
to brake, which is 0 seconds. The upper limit is the time that the car
stops, which is 2 seconds.The Fundamental Theorem of Calculus gives
The distance the car travels can be calculated
