(4) Suppose the acceleration of an object is given by a(t) = t m/s. Its initial velocity is v(0) = 5 m/s. (a) Find a general antiderivative for a(t). (That is, your answer should contain +C.) (b) Use the information that v(0) = 5 to solve for C. (c) Use your answers to parts (a) and (b) to write a formula for v(t) that has no +C in it. (d) Use your formula from part (c) to compute v(3).

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