Let s(t)= ?? ? − ??? ? − ???? be the equation for a motion particle. Find:...

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Let s(t)= ?? ? − ??? ? − ???? be the equation for a motionparticle.

Find: a. the function for velocity v(t). Explain. [10]

b. where does the velocity equal zero? Explain. [20

] c. the function for the acceleration of the particle [10]

d. Using the example above explain the difference betweenaverage velocity and instantaneous velocity. (A Graph will beextremely helpful) [25]

e. What condition of the function for the moving particle needsto be present in order for the function not to have a derivative?Use any one of the conditions studied in this chapter to make yourcase. Specifically explain why the function would not have aderivative given that particular condition. Please draw a pictureof the hypothetical scenario using that condition and use the term“continuity” in your explanation.

[35]

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