Calculate Rate of Change: Muffin Thrown from 30m High Roof to Ground

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a lady leans out 30 meters above the ground and tosses a blueberry muffin to her friend on the roof 5 meters above. although the muffin comes to a stop right infront of the friend, she fails to catch it, and the muffin falls to the ground. how fast was the muffin thrown upwards? how fast is the muffin moving when it hits the ground?

I'm having some trouble getting started with this one.

EDIT: Tite should read "Rate OF Change."
 
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Do you know an equation that describes the motion of an object under the influence of gravity? That would be a good place to start.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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