A skier starts at the top of a 60? slope, 25 m above the ground, as shown at right. At the bottom, a circular arc carries them through a 90? turn and they lunch of a 3.0 m height ramp. Assume all surfaces are frictionless.

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[10 points] A skier starts at the top of a 60° slope, 25 m above the ground, as shown at right. At the bottom, a circular arc carries them through a 90° turn and they launch off a 3.0 m hight ramp. Assume all surfaces are frictionless. 25 m ©2017 Eucation in 60° 90° 13.0 m (a) What is the skier's speed the instant they leave the ramp? Hint: energy conservation. (b) How far horizontally is the skier's touchdown point from the end of the ramp? Hint: projectile motion; the skier's launch angle is 30°. (c) Prove that the skier's launch angle is 30°. You will need to show a complete diagram simply stating it is 30° “because of geometry" or "similar triangles" is not sufficient. [10 points] A skier starts at the top of a 60° slope, 25 m above the ground, as shown at right. At the bottom, a circular arc carries them through a 90° turn and they launch off a 3.0 m hight ramp. Assume all surfaces are frictionless. 25 m ©2017 Eucation in 60° 90° 13.0 m (a) What is the skier's speed the instant they leave the ramp? Hint: energy conservation. (b) How far horizontally is the skier's touchdown point from the end of the ramp? Hint: projectile motion; the skier's launch angle is 30°. (c) Prove that the skier's launch angle is 30°. You will need to show a complete diagram simply stating it is 30° “because of geometry" or "similar triangles" is not sufficient.