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**I feel a bit silly for asking for advice with this solution since it is so basic however for the life of me I can't seem to get the answer.**

1. Homework Statement

1. Homework Statement

A car skids to a stop. The acceleration of a car is reported in discrete times shown below: (hint, use trapezoid areas)

t (s) a (m/s/s)

0.0 -2.0

0.4 -7.0

0.8 -6.0

1.2 -5.5

1.6 -6.0

2.0 -6.0

2.4 0.0

a) What was the change in velocity over the interval t[0.0, 0.4]?

**b) How fast was the car originally going?**

c) What is the average acceleration of the skid?

d) How far did the vehicle skid?

**Solutions:**

a) I plotted these points, found the equation of the acceleration curve from t = 0 - 0.4 to be a(t) = -12.5t - 2. I then integrated that equation over the given time interval to get my change in velocity as -1.8 m/s. This solution is correct according to the answer key.

**The answer to b is 12.6 m/s**. However I am more interested in the solution and how that answer was achieved since I am scratching my head on this one.

All others I am confident to tackle on my own.