Illustation 2.5: Motion on a Hill or Ramp

When an ball rolls up a hill, it experiences a constant, nonzero acceleration. If this hill has a constant incline, we can simplify the problem to one dimension by allowing the +x axis to be parallel to the hill. How does the motion differ when the object is subject to a constant acceleration (See Illustration 2.4)? This illustration demonstrates how we can turn a two dimensional problem into a one dimensional problem by modifying how we define the x-axis. Then, we will investigate how to measure the acceleration by comparing initial and final velocities.