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

Question

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)

Kunduz · Accepted Answer

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