# If an object with uniform acceleration (or deceleration) has a speed of #1 m/s# at #t=0# and moves a total of 180 m by #t=4#, what was the object's rate of acceleration?

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The object's rate of acceleration is (0.25 , \text{m/s}^2).

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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.

- An object is at rest at #(4 ,5 ,1 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(7 ,2 ,6 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- What is the average speed of an object that is moving at #30 m/s# at #t=0# and accelerates at a rate of #a(t) =5-2t^2# on #t in [0,5]#?
- A projectile is shot from the ground at a velocity of #3 m/s# at an angle of #pi/3#. How long will it take for the projectile to land?
- The position of an object moving along a line is given by #p(t) = cos(t- pi /3) +2 #. What is the speed of the object at #t = (2pi) /4 #?
- An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #540 KJ# to # 32 KJ# over #t in [0, 4 s]#. What is the average speed of the object?

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