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) When is the particle moving in the positive direction? (Enter your answer using interval notation.) b) Find the acceleration (in ft/s2) at time t and after 1 second. c) Answer using interval notation- when is the particle speeding up and slowing down?

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) When is the particle moving in the positive direction? (Enter your answer using interval notation.) b) Find the acceleration (in ft/s2) at time t and after 1 second. c) Answer using interval notation- when is the particle speeding up and slowing down?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...

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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) When is the particle moving in the positive direction? (Enter your answer using interval notation.)

b) Find the acceleration (in ft/s2) at time t and after 1 second.

c) Answer using interval notation- when is the particle speeding up and slowing down?

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