Source:
Forces on Snowboarder
θ is the angle between the positive x-direction and the line from P to G, what's also known as the lean.

G is the center of mass of the rider and the board.

P is the approximate contact point between the board and the snow.

L is the distance between P and G.

ac is the centripetal acceleration as it points to the center of a makeshift circle.

RT is the radius of the turn.

F1 is the force in the positive x-direction.

N1 is the force in the positive y-direction.

equation(y-direction)
equation   (x-direction)equation   (substitute for
ac in problem 2)

PE=mgh

KE=1/2mv^2

(Right Picture by JOE DRAPE, TIM PIERCE AND SAM GOETZ)

PE=mgh

f=ma

(Newton's 2nd Law)