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erok81
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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, ay=d2y/dt2 to generate a differential equation
Homework Equations
F=ma
-mg=m d2y/dt2
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 - y1=y2+vt - 1/2gt2.
How does one approach this problem?