Problem $1$: The skier, at the position shown, is $35$ feet up the slope from point A and is traveling with

a velocity $v_0=85f\frac{t}{s}.$ The skier is accelerating down the slope at a constant rate of $a_t=$gsin$45f\frac{t}{s^2}.$

Point $A$ is located just past the beginning of the ski jump curve, causing the skier to change dircctions.

The ski jump has a curvature of $=50$ fect.

$($a$)$ Determine the skier's speed at point $A,v_A.$

$($b$)$ Determine the acceleration at point $A,a_A.$