Equation of motion in Mathematica

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bumchack
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I have a question to a physical task in Mathematica. We have this equation of motion:

8kbHg.png


For energy of masspoint there is the condition :

4xOn4.png


I have to write a procedure that uses the law of the conservation of energy for the potential V(x) to calculate t(x_1) - t(x_0) when there are given two points x_0 and x_1.

How could I do this in mathematica ? would be so grateful for help!
 

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