Hint: Consider the wheel's energy. Consider a wheel of radius 1.23 m, mass 7.7 kg and moment of inertia I =1/2 MR^2 (it's a solid disk). The wheel rolls without slipping in a straight line in an uphill direction 30 degrees above the horizontal. The wheel starts at angular speed 16.1 rad/s but the ro- tation slows down as the wheel rolls uphill, and eventually the wheel comes to a stop and rolls back downhill. The acceleration of gravity is 9.8 m/s^2 How far does the wheel roll in the uphill direction before it stops? Answer in units of m. This is what I plan to do: 1. Use: 1/2 Iw^2 +1/2 mv^2 = mgh by substituting Rw for v and solving for h. 2. "h" would equal the "y" component so I would then go on to use trig. to find the hypontenuse. Would that work?