A particle moves along the x-axis so that at any time t≥0 its position is given by x(t) = t^2 - 5t +6.
a) Find the velocity and acceleration at any time t
b) Find the values of t for which the particle is at rest
c) When is the particle moving left and when is it moving right?
d) Is the particle moving toward the origin or away from the origin at t=1.5?
e) On what time intervals is the particle speeding up? Slowing down?

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