A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h....

 

Transcribed Image Text:

A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h and a curvature of radius R. What is the minimum height of the starting hill, himins so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h, R, and g. Hint: if the skier/snowboarder jumps, he/she/they lose contact with the snowy ground. h C jump! A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h and a curvature of radius R. What is the minimum height of the starting hill, himins so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h, R, and g. Hint: if the skier/snowboarder jumps, he/she/they lose contact with the snowy ground. h C jump!