To determine To calculate: The velocity and acceleration function of the given position function s ( t ) = 7 t 2 + 2 t + 10 . Explanation Given: The position function is s ( t ) = 7 t 2 + 2 t + 10 . Formula used: The velocity of an object: v = d s ( t ) d t = s ′ ( t ) Here, v is the velocity of the object and s is the position of the object. and a = d 2 s ( t ) d t 2 = s ″ ( t ) Here, a is the acceleration of the object and s is the position of the object. Calculation: The function is given as s ( t ) = 7 t 2 + 2 t + 10 . The first derivative of the position function with respect to time gives the velocity function.. d d t ( s ( t ) ) = d d t ( 7 t 2 + 2 t + 10 ) v ( t ) = d d t ( 7 t 2 ) + d d t ( 2 t ) + d d t ( 10 ) = 7 ( 2 t ) + 2 ( 1 ) + 0 Further solve, v ( t ) = 14 t + 2 …... (1) Thus, the velocity function is v ( t ) = 14 t + 2

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767628

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 12.2, Problem 22E

To determine

To calculate: The velocity and acceleration function of the given position function s(t)=7t2+2t+10.

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Chapter 12.2, Problem 21E

Chapter 12.2, Problem 23E

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Chapter 12 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Ch. 12.1 - Checkpoint 1 For what values of x is the function...Ch. 12.1 - Checkpoint 2 Find all intervals on which is...Ch. 12.1 - Checkpoint 3 Identity the x-values of all points...Ch. 12.1 - Checkpoint 4 Find the critical numbers for each of...Ch. 12.1 - Prob. 5CP Ch. 12.1 - Prob. 6CP Ch. 12.1 - Checkpoint 7 Find the locations of the local...Ch. 12.1 - Prob. 8CP Ch. 12.1 - Checkpoint 9 If a sales function is given by...Ch. 12.1 - Prob. 1E

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