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A particle moves according to a law of motion s = f(t), t ≥ 0, where...

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.)

Math   Calculus   
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