A box with an initial speed of #2 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #4/3 # and an incline of #(3 pi )/8 #. How far along the ramp will the box go?
The distance is
Taking the direction up and parallel to the plane as positive
The coefficient of kinetic friction is
Then the net force on the object is
According to Newton's Second Law
The negative sign indicates a deceleration
We apply the equation of motion