# An object travels North at #1 m/s# for #8 s# and then travels South at #7 m/s# for # 5 s#. What are the object's average speed and velocity?

Average Speed =

Average Velocity =

Velocity is reliant on the direction of travel so:

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Average speed = total distance / total time Average velocity = displacement / total time

Total distance traveled = (1 m/s * 8 s) + (7 m/s * 5 s) = 8m + 35m = 43m Total time = 8s + 5s = 13s

Average speed = 43m / 13s ≈ 3.31 m/s Displacement = Final position - Initial position = 0 - 8m = -8m (Southward) Average velocity = -8m / 13s ≈ -0.62 m/s (Southward)

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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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