a. Explanation Given: The velocity- time graph of the race car is shown in figure here. Concept Used: The slope of the velocity- time graph represents the acceleration of the object. Description of the Given Graph: The motion O to A: The slope of the graph OA is the acceleration “ a ” of the race car for first 2 minutes given by a = ( 100 − 0 ) ft / min ( 2 − 0 ) min = + 50 ft / min 2 . The acceleration is positive that means the velocity of the car increases (from 0 ft. /min. to 100 ft./min.). The motion A to B: The slope of the graph AB is the acceleration “ a ” of the race car from 2 to 9 minutes given by a = ( 100 − 100 ) ft</ b. To determine To find: The piecewise defined formula for the velocity v ( t ) in miles per hour starting from rest. c. To determine To approximate: The distance travelled over 10 minutes by using 10 subintervals of 1 minute over which we assume a constant velocity. d. To determine To calculate: The distance travelled as the area of velocity-time graph.

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Question

Chapter 4.1, Problem 54A

To determine

To describe: In words the behavior of race car over the 10 minutes as shown in the graph.

To determine

To find: The piecewise defined formula for the velocity v(t) in miles per hour starting from rest.

To determine

To approximate: The distance travelled over 10 minutes by using 10 subintervals of 1 minute over which we assume a constant velocity.

To determine

To calculate: The distance travelled as the area of velocity-time graph.

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Chapter 4.1, Problem 53A

Chapter 4.1, Problem 55A

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