12-22. The position of a particle on a straight line is

Chapter 12, Problem 12-22

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QUESTION:

12-22. The position of a particle on a straight line is given by.s' = (r3 -9r + 15/) ft, where t is in seconds. Determine the position of the particle when / = 6 s and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled.

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QUESTION:

12-22. The position of a particle on a straight line is given by.s' = (r3 -9r + 15/) ft, where t is in seconds. Determine the position of the particle when / = 6 s and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled.

ANSWER:

Step 1 of 12

The velocity of the particle can be written as:

Where  is the change in position with respect to time,

 is given as .

Therefore:

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