Question: A body moves along a horizontal straight line. At time \(t\ge 0\), the position of the body is given by \(x\left( t \right)=2{{t}^{3}}-9{{t}^{2}}+12t\). The point moves both to the right and to the left along the line.

1. What is the velocity of the body when t = 1? When t = 3?
2. During what time periods is the body moving to the right
3. What is the acceleration of the body when t = 1/2? In what direction is body moving at that time?

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