Alvarez+Lab+6

2) The rate of change of the velocity as a function of time while the cart was rolling freely was the acceleration of the cart. This is because the rate of change is the same thing as the slope and the slope of velocity is the acceleration. This is also found through derivatives. If the slope is negative that means that the acceleration would be negative, and if the slope of the graph is postive then the acceleration would be positive. 3) A relationship is apparent. If the slope of the ramp is greatly inclined then the slope of the graph of velocity is higher. If the slope of the ramp is not so steep then the slope of the velocity graph is lower. 4) Initial Velocity if the whole graph had constant velocity. v=v0 + at. 5) A=-.61t^2, B=2.47t 6) Position and time general equation = 1/2at^2 + v0t + x0