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 c) When is the particle at rest? (Enter your answers as a comma-separated list.) d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds
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 c) When is the particle at rest? (Enter your answers as a comma-separated list.) d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
Section: Chapter Questions
Problem 34SBE: A Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before...
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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
c) When is the particle at rest? (Enter your answers as a comma-separated list.)
d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds.
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