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1. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. A. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. B. On which swing is the length of the arc first less than 1 foot? C. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b

1. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. A. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. B. On which swing is the length of the arc first less than 1 foot? C. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Show your work for any calculations needed or simplifications made! Clearly show your work and the steps necessary to solve each problem, including sketching diagrams that represent each situation. 1. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. A. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. B. On which swing is the length of the arc first less than 1 foot? C. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b
Transcribed Image Text:Show your work for any calculations needed or simplifications made! Clearly show your work and the steps necessary to solve each problem, including sketching diagrams that represent each situation. 1. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. A. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place. B. On which swing is the length of the arc first less than 1 foot? C. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b
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