# An astronaut with a mass of #75 kg# is floating in space. If the astronaut throws an object with a mass of #2 kg# at a speed of #5/4 m/s#, how much will his speed change by?

The speed of the astronaut will change by

We have conservation of momentum

As the astronaut is floating in space initially,

Therefore,

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The astronaut's speed will change by approximately 1/150 m/s.

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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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