PHYSICS

At the Earth's surface, a projectile is launched straight up at a speed of 8.4 km/s. To what height will it rise? Ignore air resistance and the rotation of the Earth.

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  1. Set the initial kinetic energy equal to the potential energy change at the highest elevation, and solve for that elevation.

    (1/2)mV^2 = GMm/R - GMm/(R + h)

    Solve for the height h. m cancels out
    M is the mass of the earth, G is the universal gravity constant and R is the earth's radius.

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