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.
Eti = Etf (Initial mechanical energy = final mechanical energy)
Ek = mv^2/2
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 velocity at point B is 96 m/s (rounded to significant digits)and using the velocity of Point B and the other information given I was able to determine that 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.