After a rocket is launched at (t=0), its position is given by (x(t)=q t^{3}), where (q) is

Question:

After a rocket is launched at \(t=0\), its position is given by \(x(t)=q t^{3}\), where \(q\) is some positive constant.

(a) Sketch a graph of the rocket's position as a function of time.

(b) What is the rocket's displacement during the interval from \(t=T\) to \(t=3 T\) ?

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