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Free Response #2: (34 points) Two Arrows, Arrow #1 and Arrow #2, are flying across the sky During their flight, Arrow #2 had the velocities
Free Response #2: (34 points) Two Arrows, Arrow #1 and Arrow #2, are flying across the sky During their flight, Arrow #2 had the velocities shown in the table below t(seconds) 0 8 11 13 v(t )it./sec.) 102 322 520 980 2010 2150 A.) Approximate V (5) Using correct units, explain the meaning of this answer. (6 pts) B.) Using a Right Riemann Sum with 4 subintervals, approximate the value of ] v(1)di (8 pts) C.) Write an integral expression that would determine the average velocity of Arrow #1 from t = 3 to t = 13, then using the Trapezoidal Method with 4 subintervals, approximate the average. (8 pts) D.) Determine the value of [v (1)di Explain the meaning of this integral in the context of the problem. (4 points ) E.) Arrow #1's acceleration is modeled by the function a(t) = 31 . Also known is that Arrow #1 has a velocity of 60 ft./sec. at 1 = 3. Which arrow was traveling faster at ? =13? (8 points)
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