6. The velocity of a particle on a co-ordinate line is given by v(t)=t² +3t -10 ft/min where t20 and is measured in minutes. a. Find the displacement of the particle in the first 3 minutes. b. Write, but do not evaluate, an expression to find the total distance traveled by the particle in the first 3 minutes. c. When is the velocity of the particle decreasing?

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. The velocity of a particle on a co-ordinate line is given by v(t) =t² +3t –10 ft/min where t> 0
and is measured in minutes.
Find the displacement of the particle in the first 3 minutes.
b. Write, but do not evaluate, an expression to find the total distance traveled by the particle in
a.
the first 3 minutes.
c. When is the velocity of the particle decreasing?
Transcribed Image Text:6. The velocity of a particle on a co-ordinate line is given by v(t) =t² +3t –10 ft/min where t> 0 and is measured in minutes. Find the displacement of the particle in the first 3 minutes. b. Write, but do not evaluate, an expression to find the total distance traveled by the particle in a. the first 3 minutes. c. When is the velocity of the particle decreasing?
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