12-20. The velocity of a particle traveling along a

Chapter 12, Problem 12-20

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QUESTION:

12-20. The velocity of a particle traveling along a straight line is v = (3t2 - 6/) ft/s, where t is in seconds. If s = 4 ft when t 0, determine the position of the particle when t 4 s. What is the total distance traveled during the time interval / = 0 to t 4 s? Also, what is the acceleration when t 2 s?

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QUESTION:

12-20. The velocity of a particle traveling along a straight line is v = (3t2 - 6/) ft/s, where t is in seconds. If s = 4 ft when t 0, determine the position of the particle when t 4 s. What is the total distance traveled during the time interval / = 0 to t 4 s? Also, what is the acceleration when t 2 s?

ANSWER:

Step 1 of 4

The position of the particle can be written as:

Where  is the change in position with respect to time,

Velocity is given as

Therefore:

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