12-8. A particle moves along a straight line with an

Chapter 12, Problem 12-8

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QUESTION:

A particle moves along a straight line with an acceleration of \(a=5/\left(3s^{1/3}+s^{5/2}\right)\mathrm{\ m}/\mathrm{s}^2\), where s is in meters. Determine the particle's velocity when s = 2 m, if it starts from rest when s = 1 m. Use a numerical method to evaluate the integral.

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QUESTION:

A particle moves along a straight line with an acceleration of \(a=5/\left(3s^{1/3}+s^{5/2}\right)\mathrm{\ m}/\mathrm{s}^2\), where s is in meters. Determine the particle's velocity when s = 2 m, if it starts from rest when s = 1 m. Use a numerical method to evaluate the integral.

ANSWER:

Step 1 of 3

It is given that

By taking  equation  

Next we will  integrate  normally, but we must use a different method for

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