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## Homework Statement

A bowling ball of mass 2.2kg is rolling along a track at 3.2m/s when it reaches a ramp angled at 55°, The ball rolls up the ramp to the top where the track levels out again, and the ball rolls at 0.3 m/s. How long is the ramp?

mass = 2.2kg

v1 = 3.2 m/s

v2 = 0.3 m/s

angle of the ramp = 55°

Not sure about the friction so I'm going to assume it's frictionless.

## Homework Equations

Fnet = ma

Not sure

## The Attempt at a Solution

Well from what we know I was able to find the acceleration going down the ramp was -8.2 m/s^2.

I found this out because the only force acting on the ball while the ball was going up the ramp was the force fog ravity and I used the following equation.

Fnet = ma

Fx = ma

-18 = 2.2a

a = -8.2

This is assming there is no friction and choosing up the ramp to be positive.

I know I don't have much done but I'm lost as to what to do now. I was wondering if I could use the equation:

v2^2 = v1^2 + 2ad

I don't know if that would work since that would give us the displacement from the very beginning to the very end and not only the length of the ramp.