Ok here is my question:(adsbygoogle = window.adsbygoogle || []).push({});

Potential energy = mgh

Kinetic energy = 1/2mv^2

mgh = 1/2mv^2, solving for v you get v = sqrt(2gh)

Now I know v is the same as dx/dt so if I substite in dx/dt for v :

dx/dt = sqrt(2gh)

Multiply by dt:

dx = sqrt(2gh) * dt

Integrate:

x = t*sqrt(2gh)

This should be right, but for some reason it doesnt work when I check it with the well known x = x0 + v0t + 1/2at^2 formula, what am I doing wrong?

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# Calculus - Physics question

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