# What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = t^3-t+3# from #t in [2, 3]#?

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The average speed of an object that accelerates at a rate of ( a(t) = t^3 - t + 3 ) from ( t ) in the interval ([2, 3]) is approximately ( 7.75 ) units per time interval.

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- An object travels North at # 6 m/s# for #8 s# and then travels South at # 3 m/s# for # 7 s#. What are the object's average speed and velocity?
- What is the average speed, on #t in [0,5]#, of an object that is moving at #5 m/s# at #t=0# and accelerates at a rate of #a(t) =t^2-2t# on #t in [0,4]#?
- An object is at rest at #(4 ,1 ,6 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(3 ,5 ,6 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- The position of an object moving along a line is given by #p(t) = 3t - tcos(( pi )/3t) #. What is the speed of the object at #t = 5 #?
- An object travels North at #2 m/s# for #9 s# and then travels South at #4 m/s# for #5 s#. What are the object's average speed and velocity?

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