A box with an initial speed of #2 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #5/4 # and an incline of #pi /6 #. How far along the ramp will the box go?
The distance is
Solving in the direction of the plane
The component of the weight is
Applying Newton' second Law
The initial velocity is
We apply the equation of motion