A particle moves according to a law of motion s = f(t), t? 0, where...
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Calculus
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) = t 9t + 24t(a) Find the velocity (in ft/s) at time t.v(t) = 3 18t + 24(b) What is the velocity (in ft/s) after 1 second?v(1) = 9 ft/s(c) When is the particle at rest? (Enter your answers as a comma-separated list.)t = 2,4(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)(-?0,2) U (4,00)
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