# An object has a mass of #1 kg#. The object's kinetic energy uniformly changes from #48 KJ# to #36 KJ# over #t in [0, 3 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, we first need to find the initial and final velocities of the object. We can use the formula for kinetic energy: ( KE = \frac{1}{2} mv^2 ).

Given that the kinetic energy changes uniformly over time, we can use the average kinetic energy: ( KE_{avg} = \frac{1}{2} m(v_{initial} + v_{final}) ).

Using the given kinetic energies and mass, we can solve for the initial and final velocities. Then, we can find the average speed by dividing the total distance traveled by the total time taken.

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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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