# What is the speed of an object that travels from #( 4,-2,2) # to #( -3, 8,-7 ) # over #2 s#?

The speed of the object is traveling at 7.5825 (unknown) distance units per second.

Warning! This is only a partial solution, since distance units were not indicated in the problem statement.

The definition of speed is

We will do this using the Pythagorean theorem.

We’re not done, but we have gone as far as we can go with the information provided.

We can only solve for the numerical part of the solution here because the asker neglected to provide the distance units.

Units are VERY important to indicate. Think of it terms of disk space on your laptop, tablet or cell phone. A byte (indicated by B) is a unit of memory. A device with 30 GB of memory is much more valuable than a device with only 30 MB of memory. A megabyte, MB, is only 1 million bytes (think a 1-minute long video in mpeg format) compared to a GB, which is 1 billion--- that’s a 1000 times more space for music, videos, etc.!

Units can be just as important as the numerical answer, or maybe even more- something to keep in mind.

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To find the speed of the object, calculate the distance traveled between the two points using the distance formula in three-dimensional space. Then divide the distance by the time taken to travel.

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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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