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?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...

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