Explanation Given: The provided position function is: s ( t ) = 3 t 4 − 12 t 2 Formula used: If s ( t ) = t n for any number n , then: s ' ( t ) = n t n − 1 Calculation: Recall the provided position function: s ( t ) = 3 t 4 − 12 t 2 Now, as velocity is the instantaneous rate of change in position with respect to time, so the derivative of the provided function will give the relation between velocity and time as: v ( t ) = s '</

11th Edition

ISBN: 8220101336323

Author: MULLINS

Publisher: PEARSON

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Chapter 11.5, Problem 5CP

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To calculate: The position vector after 2 hours if the position is given by s(t)=3t4−12t2.

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Chapter 11.5, Problem 4CP

Chapter 11.5, Problem 6CP

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The position vector after 2 hours if the position is given by s ( t ) = 3 t 4 − 12 t 2 .

Solution Summary: The author explains that the required velocity is 48 miles per hour if the position is given by s(t).

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To calculate: The position vector after 2 hours if the position is given by s(t)=3t4−12t2.

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