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Math Help - motion under gravity

  1. #1
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    motion under gravity

    thanks for any help, not too sure what it means when it asks for the equation of motion
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  2. #2
    MHF Contributor

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    mass*acceleration= force and here the force is gravity, downward, -mg and friction, -\gamma v^3 (- because the force is always opposing the motion).

    m\frac{dv}{dt}= -mg- \gamma v^3. The "terminal velocity" is when dv/dt= 0.

    To find the "equation of motion" solve that equation for v and then solve \frac{dx}{dt}= v to get the height as a function of t.
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