A particle moves along the x-axis so that its velocity is given by
****at time t=0, the particle is at position x=1
a) Find the acceleation of the particle at time t=2. Is the speed of the particle increasing at t=2? Why or Why not?
b) Find all times t in the open interval 0,t,3 when the particle changes direction.Justify your answer.
c)Find the total distance traveled by the particle from time t=0 until time t=3
d) During the time interval 0<=t<=3, , what is the greatest distance between the particle and the origin?
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