Calculating Distance Traveled by Sam on Jet-Powered Skis

[powderchick81]

I need help desperatley with this problem.

Sam (65 kg) takes off (from rest) up a 50 m high, 10° frictionless slope on his jet-powered skis. The skis have a thrust of 160 N. He keeps his skis tilted at 10° after becoming airborne. How far does Sam land from the base of the cliff?

I believe I'm almost there but I'm stuck towards the end.

Any help would be nice.

 

[hage567]

Show us what you've done so far, so we can see if you're on the right track. We don't know where you're stuck!

 

[powderchick81]

I've gotten this far

acceleration up the slope = .76 m/s^2

length of slope = 288m

velocity at the top of the slope = 20.9 m/s

initial velocity on the x-axis = 23.2 m/s

intial velocity on the y-axis = 4.10 m/s

initial acceleration on the x-axis = 2.42 m/s^2

initial acceleration on the y-axis = -7.34 m/s^2

Now I have no clue what to do.

 

[andrevdh]

I get the impression that he starts from rest at the bottom of the slope and accelerates up it until he goes over the top - 50 meters up - then he flies through the air until he reaches the ground again - on the same level that he started out from?