I'm working on a lab of a bouncing ball. I have been told to fit each free-fall interval using the quadratic equation which will give the values of a,b and c for y=ax^2+bx+c. Then I am to related this equation to the one for motion of a falling object y = yo + v0t + 1/2gt^2 and interpret the meaning of each parameter. Based on this a is the acceleration due to gravity, b is the initial velocity, and c is the initial height. But looking at the actual data collected for the ball bouncing, the numbers for b, and c are increasing with each bounce. This doesn't make sense since they should be decreasing if they represent initial velocity and height. I know I'm missing something here, but can't figure out what. Any suggestions?