Archery 2: Ann Archer shoots an arrow into the air. This table lists its heights at
Chapter 7, Problem 29(choose chapter or problem)
Archery 2: Ann Archer shoots an arrow into the air. This table lists its heights at various times after she shoots it. Time (sec) Height (ft) 1 79 2 121 3 131 4 109 5 55 a. Show that the second differences between consecutive height values in the table are constant. b. Use the first three points to find the particular equation of the quadratic function that fits these points. Show that the function contains all of the points. c. Based on the graph you fit to the points, how high was the arrow at 2.3 sec? Was it going up or going down? How do you tell? d. At what two times was the arrow 100 ft high? How do you explain the fact that there were two times? e. When was the arrow at its highest? How high was that? f. At what time did the arrow hit the ground?
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