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

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SUMMARY

The discussion revolves around calculating the rate of change of a blueberry muffin thrown from a height of 30 meters to a friend on a roof 5 meters high. The key equations to consider are those of motion under gravity, specifically the kinematic equations. The muffin's initial upward velocity can be determined using the equation \( v^2 = u^2 + 2as \), where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is the acceleration due to gravity (-9.81 m/s²), and \( s \) is the displacement. The final velocity of the muffin when it hits the ground can also be calculated using these principles.

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BrownianMan
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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.
 

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