1. The position of the particle is given by the equation s = f(t), being s= t3 - 6t? + 9t, where t is measured in seconds and s in meters. Find the velocity at time t. What is the velocity after 2 sec? When is the particle at rest?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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Use the application of Calculus.
TOPIC: Motion Problem
1. The position of the particle is given by the equation s = f(t), being
s= t3 - 6t? + 9t, where t is measured in seconds and s in meters.
Find the velocity at time t.
What is the velocity after 2 sec?
When is the particle at rest?
When is the particle moving forward?
Find the total distance traveled by the particle during the first five sec?
Transcribed Image Text:Use the application of Calculus. TOPIC: Motion Problem 1. The position of the particle is given by the equation s = f(t), being s= t3 - 6t? + 9t, where t is measured in seconds and s in meters. Find the velocity at time t. What is the velocity after 2 sec? When is the particle at rest? When is the particle moving forward? Find the total distance traveled by the particle during the first five sec?
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