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Unformatted text preview: WORKSHEET 3  Fall 1995 1. The following graph represents speed vs. time for two cars, A and B. Assume the cars are at the same position at time t = 0 hours. Car B Time (in hours) t = t = Car A Speed 1 a) State the relationship between the position of car A and car B at t = 1 hour. b) State the relationship between the speed of car A and car B at t = 1 hour. c) State the relationship between the acceleration of car A and car B at t = 1 hour. Explain. d) What is the relative position of the two cars during the time interval between t = 0 . 75 hours and t = 1 hour? (e.g. is one car pulling away from the other?) Explain. 2. In each part below, you are given the graph of the derivative f of some function f . Sketch a graph of f satisfying the condition listed. a) f (0) = 0 b) f (0) = 0 c) f (1) = 1 d) min( f ( x )) = 0 e) lim x →∞ f ( x ) = 2 f) lim x → f ( x ) = − 1 3. While studying calculus late one night in his dorm room, Bob decides to take a study break and hone his yoyo skills. He soon realizes that there is interesting mathematics in the motion of his favorite toyhis yoyo skills....
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 Spring '08
 Grether
 Calculus, Derivative, Tire

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