# How do you simplify #\frac{at^{2}}{2}+ut#?

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To simplify (\frac{at^{2}}{2}+ut), you can factor out the common term (t), yielding (t(\frac{at}{2} + u)).

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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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- A race car has a speed of 80 m/sec when the driver releases a drag parachute. If the parachute causes a deceleration of -4 m/sec^2, how far will the car travel before it stops?
- An object is at rest at #(2 ,1 ,5 )# and constantly accelerates at a rate of #2 m/s# as it moves to point B. If point B is at #(6 ,3 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- A particle is moving in x - axis according to relation #x= (4t - t^2 - 4)# m then? **The question has multiple answers**.
- An object has a mass of #3 kg#. The object's kinetic energy uniformly changes from #48 KJ# to # 36KJ# over #t in [0,6s]#. What is the average speed of the object?

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