The Ski Jump

A 75 kg person skis down a frictionless slope of height $H = 60$ m, then rounds a circular bottom, goes up 5 m, and flies off of a jump as shown at an angle $\theta = 45\circ$.

Find:

a) The maximum speed of the person at the lowest point (at the bottom). (Note - FYI - that if I told you the radius of curvature of the slope you could easily find the normal force exerted by the slope or the person's legs at this point, right?)

b) The maximum height that the person attains after flying off of the jump. (Note that I could just as easily have asked you the range of the jump or how long it takes to hit (requiring the use of Newton's 2nd Law), but that this answer you can get either from N2L or from energy conservation...)