# An astronaut with a mass of #90 kg# is floating in space. If the astronaut throws a #20 kg# object at a speed of #5 m/s#, how much will his speed change by?

I found:

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To calculate the change in velocity, you can use the law of conservation of momentum. The formula is:

[ \text{Change in velocity of the astronaut} = \frac{\text{Mass of object} \times \text{Initial velocity of object}}{\text{Mass of astronaut} + \text{Mass of object}} ]

Plug in the values:

[ \text{Change in velocity of the astronaut} = \frac{20 , \text{kg} \times 5 , \text{m/s}}{90 , \text{kg} + 20 , \text{kg}} ]

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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