1. The problem statement, all variables and given/known data http://img2.freeimagehosting.net/uploads/2256719644.jpg [Broken]A ball moves in a straight line (the x-axis). The graph in the figure shows this ball's velocity as a function of time. What are the ball's average velocity during the first 3.0s ? What are the ball's average speed during the first 3.0s ? Suppose that the ball moved in such a way that the graph segment after 2.0s was -3.0 m/s instead of +3.0m/s . Find the ball's and average velocity during the first 3.0s in this case. Suppose that the ball moved in such a way that the graph segment after 2.0s was -3.0m/s instead of +3.0 m/s. Find the ball's average speed during the first 3.0s in this case. 3. The attempt at a solution Ok, from my reading I understand that average speed is not the magnitude of average velocity. To determine average speed you need total total distance/ total time. I know that if the displacement is 0, then the average velocity is 0. What I have done so far is get the slop from time 0 through time =3s. It gives me 1. Since, having the tangent line slop to the three seconds, would be instantaneous speed, then I would not assume that speed = 0. My other try is that I start at the point from 0s @ 2m/s through 3s @ 3m/s. The line would have a slope of 1/3 resulting in the average speed of .66m/s. Is this right, if not can you point me in the right direction.