A skier leaves the starting gate at the top of a ski jump with an initial speed of $v_i = 5.00$ m/s, as shown in the figure. The starting position is 120 m higher than the end of the ramp, which is 3.00 m above the snow. Find the final speed $v_f$ of the skier if he lands a distance $d = 135$ m down the 20.0° slope. Assume there is no friction on the ramp, but air resistance causes a 50% loss in the final kinetic energy.