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

In summary, the conversation discusses a scenario where a lady throws a blueberry muffin to her friend on a roof 5 meters above her. The muffin falls to the ground after the friend fails to catch it. The conversation also raises questions about the speed at which the muffin was thrown upwards and the speed at which it hits the ground.
  • #1
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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  • #2
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.
 

1. How do you calculate the rate of change for a muffin thrown from a 30m high roof to the ground?

The rate of change can be calculated by dividing the change in distance (30m) by the change in time (the time it takes for the muffin to reach the ground).

2. What is the formula for calculating the rate of change in this scenario?

The formula for calculating the rate of change is: rate of change = (final distance - initial distance) / (final time - initial time).

3. How would you measure the time it takes for the muffin to reach the ground?

The time can be measured using a stopwatch or a timer, starting from the moment the muffin is thrown to the moment it hits the ground.

4. Is there a difference in the rate of change between throwing the muffin horizontally or vertically from the roof?

Yes, there would be a difference in the rate of change. When thrown horizontally, the muffin will travel a longer distance before reaching the ground compared to when thrown vertically. This means that the change in distance and time will be different, resulting in a different rate of change.

5. Why is it important to calculate the rate of change in this scenario?

Calculating the rate of change can help us understand the motion and trajectory of the muffin as it falls from the roof. It also allows us to make predictions and analyze the factors that may affect the rate of change, such as air resistance and the angle at which the muffin is thrown.

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