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. The problem statement, all variables and given/known data 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.