# Precise Ingredients

You want to pour exactly $$300 \text{ g}$$ of sugar into a bowl. You place the bowl on a scale and zero it. Then you pour sugar, from a constant height at a constant rate. When should you stop pouring to ensure that you have exactly $$300\text{ g}$$ of sugar?

Details and Assumptions:

• Ignore air resistance during the motion.

• Pouring means that the sugar initially has zero velocity.

• Once the sugar reaches the scale, it is brought to a full stop.

• The time needed to pour the 300 g of sugar is longer than the falling time of the sugar.

Bonus: Will the answer change if the sugar bounces up and down a bit before finally settling?

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