# An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #480 KJ# to #12 KJ# over #t in [0, 8 s]#. What is the average speed of the object?

The average speed is

The kinetic energy is

Therefore,

and,

The equation of the line is

So,

So,

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To find the average speed of the object, divide the total distance traveled by the total time taken. Given that the kinetic energy changes uniformly, the average kinetic energy over the interval is simply the average of the initial and final kinetic energies. Using the kinetic energy formula, we can find the initial and final velocities of the object. Then, using the formula for average speed, we can calculate it.

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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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