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]
