An automobile accelerates from rest at 2.0 m/s2 for 20 s. The speed is then held constant for 20 s, after which there is an ac- celeration of -3.0 m/s? until the automobile stops. What is the total distance traveled?

Explanation:

You need to look at this in 3 separate stages, and then sum thedistance from each stage:

Stage 1)

a=2

t=20

=0

We also need to find the final velocity

Stage 2)

a=0

v=40

t=20

Stage 3)

a=-3

=40

=0

So the total distance is

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