Q1: What is the skier's speed at the intermediate point?

Using the conservation of momentum, we have the formula; W_nc = E_f - E_o

W_nc = (1/2mv_f² + mgh_f) - (1/2mv_o² + mgh_o). Using the given information, it is given that the skier starts from rest at the highest point. The initial velocity (V_o) is zero and solving for the final velocity (V_f) we get Vf = [(2W_nc - mg(h_f - h_o))/2]^1/2

Q2: What is the skier's final velocity (V_f) at the foot of the Hart Prairie run?

Q3: Please draw a crude sketch calculating Kinetic energy (KE), Gravitational potential energy (GPE), and total energy at the three points labelled Agassiz (start), Intermediate, and Hart Prairie (final). Use SI (mks) units throughout. Remember: [1.0 m = 3.281 ft]

Bonus Credit: Near the very foot of Hart Prairie run there is a small circular 'speedbump' hill of radius 5.0 m. The skier moves over this speedbump at V_f.

B1: At what minimum Vf will the skier become airborne? (Draw a FBD)

B2: Does this particular skier become airborne?