The world needs a new source of energy, an unspillable source.

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  1. Call the ground 0 elevation and measure up from there to get heights.

    Kinetic Energy + Potential Ehergy = constant

    0.5*mass*velocity^2 + mass * gravity * height = a constant

    0.5MV^2 + 9.8*MH = a constant

    Get mass in kg
    get velocity in m/s
    get height in meters

    Crank away at the different points

How to solve mechanical energy conservation problems involving roller coasters?

I have to find the velocities of a roller coaster at various heights given the initial velocity of a coaster at the top of the first hill. The second hill is the same height as the first, so I figured out that the velocity would be the same; however, the third hill is half the height. How do I find the velocity at this point?