Question

If you drop two rolls of toilet paper, while holding onto the end of one roll...

If you drop two rolls of toilet paper, while holding onto the end of one roll (meaning, one unrolls as it falls, the other drops straight down), they will land at the same time if the initial heights have a specific ratio. Each roll has an inner diameter of 3.5cm and an outer diameter of 11cm.

1. For the roll that you hold onto the end of (the one that unrolls), how fast would it hit the ground if you dropped it from a height of 2.0m?
2. How long would it take to hit the ground? (the acceleration is not g).
3. How high would you have to drop the other roll (the one that falls straight down), such that it would take the same amount of time as you found in part 2?

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