a.When is the particle moving in the positive direction? (Enter your answer using interval notation.)  b.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. c.When is the particle speeding up?When is the particle slowing down? (answer in interval notation.)

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
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 51P: A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four...
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a.When is the particle moving in the positive direction? (Enter your answer using interval notation.) 

b.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.

c.When is the particle speeding up?When is the particle slowing down? (answer in interval notation.)

A particle moves according to a law of motion s = f(t), t > 0, where t is measured in seconds and s in feet.
f(t) = t3 – 9t2 + 24t
Transcribed Image Text:A particle moves according to a law of motion s = f(t), t > 0, where t is measured in seconds and s in feet. f(t) = t3 – 9t2 + 24t
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