Suppose that the position of a particle is given by s(t) = 2t² + 3t+ 9. (a) Use the limit definition of the derivative to find the velocity at time t. v(t) = (b) Find the velocity at time t = 3 seconds. m S m S (c) Use the limit definition of the derivative to find the acceleration at time t. a(t) = m 82 m (d) Find the acceleration at time t = 3 seconds.

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A: Since multiple subparts are asked, I am answering the first 3 subparts.

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A: As we know