Y(X) = Acos( n) + A where d = 1000 and A = 300. Gravity (9) = 9.8 - Velocity (tangential velocity) along the arc is simply the potential energy converted to kinetic energy: v (X) = v2gh where h = 2A - Y(X) Tasks: For the interval x E (0,d): a. Plot skier velocity v.(x) vs x. Does it match your intuition of the skier's speed? b. Find the equation and plot the radius of curvature p(x) vs. x c. Find the equations and plot the skier's tangential(a,), normal (a,), & total (||all) acceleration vs. x For the location x = d/2: d. Find skier's velocity [vx; vy] and acceleration [a; ay] in cartesian coordinates e. Find skier's velocity [vr; v.] and acceleration [a,; a ] in polar coordinates