- #1

zzoldan

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## Homework Statement

I have this problem on my physics exam and I hoped you guys could help. The Question is: Why is the relationship between the average velocity and the height of a ball rolling down a slope a square root function?

The slope is 100cm long, the height of the ball at the top of the slope is 30cm and the angle is 17.45 degrees.

## Homework Equations

S=1/2at2 + viT

Vav = S/T

Vav = (Vi + Vf) / 2

## The Attempt at a Solution

I established that the relation is, in fact, represented by a square root function.

I figured out the rule of the function, by determining that the A/K is.

I just have no idea why this is a square root function...

Is it because the ball reaches its' terminal velocity quicker?

Or because, when the height is smaller, there is a much smaller acceleration, ultimately decreasing the average velocity?

Please Help- My exam is on 12/17/09

Thanks :D