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## Homework Statement

An object is dropped from a height above a pool of water.

Start with Newton’s 2nd law, F = ma and use the general expression for acceleration, a

_{y}=d

^{2}y/dt

^{2}to generate a differential equation

## Homework Equations

F=ma

-mg=m d

^{2}y/dt

^{2}

## The Attempt at a Solution

We had this problem in our problem solving session last week. My physics I class I never learned how to derive anything, so I am always on a quest to figure these out. This is one I cannot do. I can set up as far as I have. I see I can cancel the m's and then integrate both sides, but I cannot get to the correct answer.

The answer is a regular equation of motion - y

_{1}=y

_{2}+vt - 1/2gt

^{2}.

How does one approach this problem?