# What is the speed of an object that travels from #( -9,0,1) # to #( -1,4,-6 ) # over #2 s#?

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To find the speed of the object, calculate the displacement vector between the initial and final positions. Then, divide the magnitude of the displacement vector by the time taken.

Displacement vector = Final position - Initial position = (-1, 4, -6) - (-9, 0, 1) = (8, 4, -7)

Magnitude of displacement vector = sqrt(8^2 + 4^2 + (-7)^2) = sqrt(64 + 16 + 49) = sqrt(129)

Speed = Magnitude of displacement vector / Time taken = sqrt(129) / 2 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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