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## Homework Statement

Assuming no friction or air resistance, calculate the height at C if at point A, the roller coaster had a speed of 20 m/s, and height of 0.45 km. The height at point B is 0 m. The speed at C is 15.6m/s.

So basically the roller coaster starts from A which is 0.45 Km high and moves forward (down) with a speed of 20m/s and the roller coaster dips down to point B where the height is 0 m. Then the roller coaster goes up to point C.

## Homework Equations

Eti = Etf (Initial mechanical energy = final mechanical energy)

Ek = mv^2/2

Eg= mgh

g= 9.80 m/s^2

## The Attempt at a Solution

I used the the law of mechanical energy equation and had to find the velocity of point B to move on to find the height of point c.

So using the given information and the equations, I found that the

**and using the velocity of Point B and the other information given I was able to determine that**

__velocity at point B is 96 m/s (rounded to significant digits)__

__the height is 0.457 km a point C.__But... the height for point c seems wrong according the diagram.

I could be wrong but I think point c should be less than the height of point A, according to the diagram.