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Imagine that you're sledding alone down a steep hill on a toboggan and that you left...

Imagine that you're sledding alone down a steep hill on a toboggan and that you left the top of the hill at the same time as an identical toboggan, loaded with 4 people.

a. Which toboggan will reach the bottom of the hill first?

b. If you took a toboggan down a 2% grade slope, for a 1000 foot run, and then you took the toboggan down a steeper route of 15% grade down the hill, how would that affect the speed of your descent? Explain.

c. Before each downhill run, you must pull the toboggan back to the top of the hill. If the Hill is 1000 vertical feet, how many runs will you do in 2 hours?

d. Why can you sled down a hill? But you can't you skate down a hill?

e. How do snow shoes help you walk in snow? Why are their different sized snow shoes?

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