A ski jumper starts from rest from point A at the top of a hillthat is a height h1 above point B at the bottom of the hill. Theskier and skis have a combined mass of 80 kg. The skier slides downthe hill and then up a ramp and is launched into the air at point Cthat is a height of 10m above the ground. The skier reaches point Ctraveling at 42m/s.

(a) Is the work done by the gravitational force on the skier asthe skier slides from point A to point B positive or negative?Justify your answer.

(b) The skier leaves the ramp at point C traveling at an angleof 25° above the horizontal. Calculate the kinetic energy of theskier at the highest point in the skier's trajectory.

(c)

i. Calculate the horizontal distance from the point directlybelow C to where the skier lands.

ii. If the angle is increased to 35°, will the new horizontaldistance traveled by the skier be greater than, less than, or equalto the answer from part (c)(i)? Justify your answer.

(d) After landing, the skier slides along horizontal groundbefore coming to a stop. The skier’s initial speed on the ground isthe horizontal component of the skier’s velocity when the skierleft the ramp. The average coefficient of friction μ is given as afunction of the distance x moved by the skier by the equationμ=0.20x. Calculate the distance the skier moves between landing andcoming to a stop.