The equation of motion of a material point is expressed by the relation (x(t)=alpha t^{3}-beta t^{2}-gamma), with

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The equation of motion of a material point is expressed by the relation \(x(t)=\alpha t^{3}-\beta t^{2}-\gamma\), with the constants \(\alpha, \beta, \gamma\) real positive. Determine velocity and acceleration. What type of motion is involved?

 

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