Measuring 9 We will see later in the semester that the acceleration due to gravity of a cart down a frictionless track is given by a =gsin', where 3 is the angle that the track makes with the horizontal. (This 8 hopefully makes some intuitive sense: When the track is horizontal (3 2 0 and sin': 0), there is no acceleration due to gravity (:1 = G). If the track is vertical, 3 = 90, the object is in free fall, and a = g.) 0 Set up your equipment so that you can measure the acceleration (a) of the cart down the ramp. 0 Take measurements of a for 4-6 different values of 3. (Be sure to measure 3 too.) Record your data below. 0 Then plot :1 vs. suit? on the graph paper on the following page