A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 − 8t2 + 26t (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle moving in the positive direction? (Enter your answer using interval notation.)

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