Modeling with Trigonometric Functions · Exercise 45
Create a function modeling the described behavior. Then, calculate the desired result using a calculator.
Two springs are pulled down from the ceiling and released at the same time. The first spring, which oscillates 8 times per second, was initially pulled down 32 cm from equilibrium, and the amplitude decreases by 50% each second. The second spring, oscillating 18 times per second, was initially pulled down 15 cm from equilibrium and after 4 seconds has an amplitude of 2 cm. Which spring comes to rest first, and at what time? Consider “rest” as an amplitude less than
OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 45
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