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Warmup: A 60 kg skateboarder travels on a hilly landscape with height y as a function of horizontal position x as shown in the diagram. If the skateboarder starts from x = 17 m with a speed of 7.7 m/s to the left, what position do they reach before coming to a stop and reversing direction? Assume that friction is negligible and that, once they start rolling, the skateboarder doesn't push off from the ground to pick up additional speed. y (m) 10 Yf 5 Yi 0 x (m) 10 15 0 5

1. Continue with the warmup example. a. Once the skateboarder has reversed direction once, how far to the right do they get before reversing direction again? b. Suppose the same skateboarder again starts moving to the left from x = 17 m. If they have exactly the minimum speed needed to make it over the hill between x = 8 m and x = 9 m, what is their speed when they reach x = 3 m? c. If the skateboarder started the trip over the hill from x = 17 m and jumped off the board at x = 1 m, where between 17 m and 1 m is their speed maximum, and what is the speed at that point?