# An object travels North at #5 m/s# for #8 s# and then travels South at #8 m/s# for #4 s#. What are the object's average speed and velocity?

The average speed is

The average velocity is

The average speed is

The displacement is

The average velocity is

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The object's average speed is ( \frac{Total \ distance}{Total \ time} = \frac{(5 \ m/s \times 8s) + (8 \ m/s \times 4s)}{8s + 4s} = \frac{40m + 32m}{12s} = \frac{72m}{12s} = 6 \ m/s ).

The object's average velocity is ( \frac{Total \ displacement}{Total \ time} = \frac{(+40m) + (-32m)}{12s} = \frac{+8m}{12s} = \frac{2}{3} \ m/s ) north.

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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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- What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 12-3t# from #t in [0, 4]#?

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