Example 1: A particle moves according to the law of motion s = f (t) = 0.01r* – 0.04r² , t 2 0, where t is measured in seconds and s in feet. a. Find the velocity at time t. What is the velocity after 3 seconds? b. When is the particle at rest? c. When is the particle moving in the positive direction? d. Find the total distance traveled during the first 8 seconds. e. Find the acceleration of the particle at time t and after 3 seconds. f. When is the particle speeding up? When is it slowing down?

Example 1: A particle moves according to the law of motion s = f (t) = 0.01r* – 0.04r² , t 2 0, where t is measured in seconds and s in feet. a. Find the velocity at time t. What is the velocity after 3 seconds? b. When is the particle at rest? c. When is the particle moving in the positive direction? d. Find the total distance traveled during the first 8 seconds. e. Find the acceleration of the particle at time t and after 3 seconds. f. When is the particle speeding up? When is it slowing down?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 31PQ: A particles velocity is given by vy(t)=atj, where a = 0.758 m/s2 is a constant. a. Describe the...

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