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 acceleration at time t and after 1 second.
a(t) = ft/s2
a(1) = ft/s2
B. When is the particle speeding up? (Enter your answer using interval notation.)
c. When is it slowing down? (Enter your answer using interval notation.)
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