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## Homework Statement

A bowling ball rolls off an angled roof. The roof is sloped downward at 18.4°, and the eaves are 12.0m above the ground.If it lands 2.0m away from the building how fast was it rolling when it left the roof(i.e find Vi).

## Homework Equations

I know I have to use the equation Vh=Δx/Δt. I then solved for Vi(which took me quite a while considering that Vi was on both sides of the equation and then I had to isolate it).

## The Attempt at a Solution

This is the most complex problem I've ever seen as Vi was on both sides(was told by teacher to isolate radical to find Vi). I was eventually able to isolate Vi on one side and got the equation:

Vi=[-(2ghi+((g^2)(Δx^2))/((cos^2θ)(sin^3θ))]^1/6

This equation looks really funky so I'm not sure if its right, I got an estimated value answer of 5m/s.

P.S For clarification on the equation, the g and Δx are both divided by the sin and cos.