# What is the speed of an object that travels from #( -9,0,1) # to #( -1,4,3 ) # over #2 s#?

speed:

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To calculate the speed of the object, you first find the displacement vector by subtracting the initial position vector from the final position vector. Then, divide the magnitude of the displacement vector by the time taken.

The displacement vector is ( \vec{d} = ( -1 - (-9), 4 - 0, 3 - 1 ) = (8, 4, 2) ).

The magnitude of the displacement vector is ( |\vec{d}| = \sqrt{8^2 + 4^2 + 2^2} = \sqrt{84} ) units.

The speed of the object is ( \frac{|\vec{d}|}{2 \text{ s}} = \frac{\sqrt{84}}{2} ) units per second.

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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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