The acceleration of a certain rocket is given by a = Ct, where C is a constant.

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The acceleration of a certain rocket is given by a = Ct, where C is a constant.

(a) Find the general position function x(t).

(b) Find the position and velocity at t = 5s if x = 0 and v = 0 at t = 0 and C = 3m/s3.

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