Work? maybe just kinematic ( I don't even know what it is)

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The discussion centers on a physics problem involving a spring launching a 100 kg student on a frictionless track inclined at 30 degrees. The student experiences a coefficient of kinetic friction of 0.15. The initial speed after losing contact with the spring is calculated to be 14.1 m/s. The user struggles to determine the distance traveled up the incline, attempting to apply Newton's laws and kinematic equations but initially arrives at incorrect conclusions.

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Work?...maybe just kinematic...(please help! I don't even know what it is!)

The spring shown in the figure is compressed 50 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the 30 degree incline is 0.15.

http://session.masteringphysics.com/problemAsset/1000852/6/knight_Figure_11_54.jpg

What is the student's speed just after losing contact with the spring?

How far up the incline does the student go?

The v_initial is incredibly easy to find, 14.1, but I can't seem to find how far he travels up the incline.
I've set it up a few different ways, and each time I get the wrong answer.

if Fx = -F_f - F_w*sinθ = ma
Fy = n - F_w*cosθ = 0 -> n = m*g*cosθ

then shouldn't -umgcosθ - mgsinθ = ma
giving you a = -g(ucosθ + sinθ) ?

and then the distance could be solved using the v_initial and a using kinematics?
But it is wrong? Could someone please explain?
 
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