Explanation Given information: The integral is given as ∫ 1 3 υ ( t ) d t . Concept used: ∫ 1 3 ν ( t ) d t = ∫ 1 3 s ' ( t ) d t Calculation: The integral is given as ∫ 1 3 ν ( t ) d t . Since ν ( t ) = s ' ( t ) , where s ( t ) is position in meter at time t sec

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 5.4, Problem 1P

To determine

To find the significance and units of ∫13υ(t)dt, where υ(t) is velocity in meters/sec and t is time in seconds.

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Chapter 5.3, Problem 40P

Chapter 5.4, Problem 2P

Chapter 5 Solutions

EBK APPLIED CALCULUS, ENHANCED ETEXT

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If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

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