The position of an object is x(t) = (t^2)(e^-t) where t≥ 0. Answer the following questions. a) Make a qualitative sketch of x(t) vs. t. b) Find an expression for v(t) c) At what time/times is the object at rest?

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Chapter1: Units, Trigonometry. And Vectors
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The position of an object is x(t) = (t^2)(e^-t) where t≥ 0. Answer the following questions.

a) Make a qualitative sketch of x(t) vs. t.

b) Find an expression for v(t)

c) At what time/times is the object at rest?

d) What is the average velocity between t=0 and t=1 seconds? 

e) In what time range is the object moving to the left? In what time range is the object moving to the right? 

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