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Assuming the object is travelling vertically (up/down) exclusively:

The upward motion comes from kinetic energy, which is dependent on velocity. That kinetic energy is converted to potential energy, so you can set kinetic energy equal to potential energy.


Let U = potential energy (in Joules), K = kinetic energy (in Joules)


U = mgh, where m is mass, g is the acceleration of gravity, and h is height

K = (1/2)mv2, where v is velocity


Solve for U:

U = K

U = (1/2)mv2


That is thesimplestcase. Velocity is a vector (meaning it has direction as well as a magnitude) and it could be moving in a diagonaldirection. You'll have to use yourtrigonometryknowledge to solve these cases.

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12y ago

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