An object travels North at # 5 m/s# for #2 s# and then travels South at # 1 m/s# for # 2 s#. What are the object's average speed and velocity?
A negative sign indicates that the displacement is going northward.
Recall that average velocity is a vector quantity while average speed is a scalar one.
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Average speed is calculated by dividing the total distance traveled by the total time taken. Average velocity is calculated by dividing the total displacement by the total time taken.

Total distance traveled: Distance North = Speed * Time = 5 m/s * 2 s = 10 m Distance South = Speed * Time = 1 m/s * 2 s = 2 m Total distance = Distance North + Distance South = 10 m + 2 m = 12 m

Total displacement: Displacement = Final position  Initial position Displacement North = 10 m (since North is the positive direction) Displacement South = 2 m (since South is in the opposite direction) Total displacement = Displacement North + Displacement South = 10 m  2 m = 8 m

Total time taken = 2 s + 2 s = 4 s
Average speed = Total distance / Total time = 12 m / 4 s = 3 m/s Average velocity = Total displacement / Total time = 8 m / 4 s = 2 m/s north
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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 An object is thrown vertically from a height of #12 m# at # 2 m/s#. How long will it take for the object to hit the ground?
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