A ski jumper starts from rest from point A at the top of a hill that is a height h1 above point B at the bottom of the hill. The skier and skis have a combined mass of 80 kg. The skier slides down the hill and then up a ramp and is launched into the air at point C that is a height of 10 m above the ground. The skier reaches point C traveling at 42m/s.   The skier leaves the ramp at point C traveling at an angle of 25° above the horizontal. (d) Calculate the kinetic energy of the skier at the highest point in the skier's trajectory.   (e) i Calculate the horizontal distance from the point directly below C to where the skier lands.   If the angle is increased to 35°, will the new horizontal distance traveled by the skier be greater than, less than, or equal to the answer from part (e)(i) ?   Justify your answer.   After landing, the skier slides along horizontal ground before coming to a stop. The skier’s initial speed on the ground is the horizontal component of the skier’s velocity when the skier left the ramp. The average coefficient of friction μ is given as a function of the distance x moved by the skier by the equation μ=0.20x.   (f) Calculate the distance the skier moves between landing and coming to a stop.

Please solve parts D, E, and F below and explain/show work for everything.
A ski jumper starts from rest from point A at the top of a hill that is a height h1 above point B at the bottom of the hill. The skier and skis have a combined mass of 80 kg. The skier slides down the hill and then up a ramp and is launched into the air at point C that is a height of 10 m above the ground. The skier reaches point C traveling at 42m/s.

The skier leaves the ramp at point C traveling at an angle of 25° above the horizontal.

(d) Calculate the kinetic energy of the skier at the highest point in the skier's trajectory.

(e) i Calculate the horizontal distance from the point directly below C to where the skier lands.

If the angle is increased to 35°, will the new horizontal distance traveled by the skier be greater than, less than, or equal to the answer from part (e)(i) ?

Justify your answer.

After landing, the skier slides along horizontal ground before coming to a stop. The skier’s initial speed on the ground is the horizontal component of the skier’s velocity when the skier left the ramp. The average coefficient of friction μ is given as a function of the distance x moved by the skier by the equation μ=0.20x.

(f) Calculate the distance the skier moves between landing and coming to a stop.