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B. The position of a particle moving along a horizontal line is given by r(t) = t-6t²+9t, where t20 is measured in seconds and s is in meters. a) Find the velocity function at time t. b) When is the particle stopped? When is the particle moving forward? Explain.

B. The position of a particle moving along a horizontal line is given by r(t) = t-6t²+9t, where t20 is measured in seconds and s is in meters. a) Find the velocity function at time t. b) When is the particle stopped? When is the particle moving forward? Explain.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Question 6b
6. The following set of problems concern applications of Calculus to real life situations. Think about the following points when solving each such problem: i) What quantities are given in the problem? ii) What is the unknown? iii) Draw a picture of the situation for any time t. iv) Write an equation that relates the quantities involved. v) Finish solving the problem. A. If r = r(t) represents the position function at time t of a certain particle, then what do you think would be the interpretation of the derivative r'(t)? B. The position of a particle moving along a horizontal line is given by a(t) = t3-6t2+9t, where t>0 is measured in seconds and s is in meters. a) Find the velocity function at time t. b) When is the particle stopped? When is the particle moving forward? Explain. C. Two cars start moving from the same point. One travels east at 55mi/h and the other travels south at 65mi/h. At what rate is the distance between the two cars increasing three hours later?
Transcribed Image Text:6. The following set of problems concern applications of Calculus to real life situations. Think about the following points when solving each such problem: i) What quantities are given in the problem? ii) What is the unknown? iii) Draw a picture of the situation for any time t. iv) Write an equation that relates the quantities involved. v) Finish solving the problem. A. If r = r(t) represents the position function at time t of a certain particle, then what do you think would be the interpretation of the derivative r'(t)? B. The position of a particle moving along a horizontal line is given by a(t) = t3-6t2+9t, where t>0 is measured in seconds and s is in meters. a) Find the velocity function at time t. b) When is the particle stopped? When is the particle moving forward? Explain. C. Two cars start moving from the same point. One travels east at 55mi/h and the other travels south at 65mi/h. At what rate is the distance between the two cars increasing three hours later?
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