frictionless track is given by the acceleration due to gravity of a cart down a a = g sine, where is the angle that the track makes with the horizontal. (This hopefully makes some intuitive sense: When the track is horizontal (0 = 0 and sin0 = 0), there is no acceleration due to gravity (a = 0). If the track is vertical, 0 = 90, the object is in free fall, and a = g.) Set up your equipment so that you can measure the acceleration (a) of the cart down the ramp. Take measurements of a for 4-6 different values of 0. (Be sure to measure 0 too.) Record your data below. Then plot a vs. sine on the graph paper on the following page.