Question:
A particle moves according to a law of motion s = f(t), t≥
Last updated: 7/24/2022
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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 9t² + 24t (a) Find the velocity (in ft/s) at time t. v(t) = 3² 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)