H6. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h1. After the bottom of this hill there is a small “jump” hill. The top of the jump has height h2 and a curvature of radius R. What is the minimum height of the starting hill, h1min, so that the skier/snowboarder jumps or “catches air” at the top of hill 2? Solve for h1min in terms of h2, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground.

H6. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h1. After the bottom of this hill there is a small “jump” hill. The top of the jump has height h2 and a curvature of radius R. What is the minimum height of the starting hill, h1min, so that the skier/snowboarder jumps or “catches air” at the top of hill 2? Solve for h1min in terms of h2, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground.