(adsbygoogle = window.adsbygoogle || []).push({}); If we assume air resistance is negligible, the only force acting on a body is -Mg whereis the acceleration due to gravity ( negative because acting downwards). F = Ma becomes :g

-Mg = M y''

which implies

y''=-g

Question asks find the general solution for y.

2. Relevant equations

y is the distance above the ground of an object

y' is the vertical velocity

y'' is vertical accelaration

3. The attempt at a solution

Here is what I have done so far:

y'' = -g, therefore y' = -gt + A

integrating again

y= -1/2 gt^2 + At + B

Am I correct so far or do I take gravity to be a constant such as x giving me an answer of:

y = -3/2 g^3 + At + B

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# Solving ODE to find general solution

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