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## Homework Statement

The teacher screwed up and gave us a problem that he could not solve.

I am trying to solve it for fun.

A roller coaster has a cosine shape.

The coaster starts at the top (0 pi) with near 0 velocity

Friction is 0, and there is no air resistance.

## Homework Equations

Want a hint... Not a full solution

## The Attempt at a Solution

Tried to integrate vdv = sin(theta)d(theta) from 0 to pi/2

Answer = 0 (doh!) Should have seen that before I started!

Teacher conjectures that the result will be the same as if the coaster went down a straight ramp at 45 degrees, but can't prove it. It is bugging him too.

Thanks in advance,

Jim