Physics Dynamics Project

You are working for a company that designs ski hill runs. You have been tasked with developing a ski run with tricks for a moderately skilled skier. Assume the skier travels straight down the hill and does not take the slope gently side to side. Assume that air resistance does not slow the skier down either.

The course will consist of an initial inclined hill. The skier will then go into a dip, then a hill, both modelled after semi-circles. Finally, the skier will mount a short ramp that will send them into a jump. See the picture below for a visual that is not to scale. You need to determine various dimensions to make this ski course a reality. You may need to adjust your values if the speeds or normal forces come out unrealistic.

For all calculations ensure you show free-body diagrams, formulas, plug-ins and answers to communicate your thinking clearly.

\fEquation 1 : d = ut Equation 2: 0 = Vo + at Equation 3 : d = do + dot + } at2 Equation 4:d = do + vt - - at2 Equation 5:0' = Up + 2ad