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**[solved] Graph of Kinetic Energy v. Displacement of a Falling Object**

**1. Homework Statement**

Draw and label a graph with energy for the y axis and displacement for the x axis of the kinetic energy and potential energy of an object in free-fall that started with a horizontal speed of 30 m/s from a height of 80 m.

**2. Homework Equations**

U=mgh

k=1/2mv^2

**3. The Attempt at a Solution**

I drew a straight line with negative slope for potential energy because m and g are constants in U=mgh, so it should be a linear graph, as for kinetic energy, I am sitting on the fence on whether or not to draw a straight line or a curve The v^2 makes me want to draw a curve, however, if the the potential energy is a straight line and K = E - U, then shouldn't k be directly proportional to displacement as well?

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