Complete the following prompts and give a written explanation. Suppose that the position function of a spring in motion is given by cos(x²) 3x + 1 where s is measured in centimeters and t is measured in seconds. Assume that t > 0 s(t) A. Find the displacement of the spring during the first 5 seconds. You may round your answer to 4 decimal places. B. Find the average velocity of the spring during the first 5 seconds. You may round your answer to 4 decimal places. C. Find the instantaneous velocity of the spring at t = 5. You may round your answer to 4 decimal places.
Complete the following prompts and give a written explanation. Suppose that the position function of a spring in motion is given by cos(x²) 3x + 1 where s is measured in centimeters and t is measured in seconds. Assume that t > 0 s(t) A. Find the displacement of the spring during the first 5 seconds. You may round your answer to 4 decimal places. B. Find the average velocity of the spring during the first 5 seconds. You may round your answer to 4 decimal places. C. Find the instantaneous velocity of the spring at t = 5. You may round your answer to 4 decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
where � is measured in centimeters and � is measured in seconds. Assume that �≥0
- Find the displacement of the spring during the first 5 seconds. You may round your answer to 4 decimal places.
- Find the average velocity of the spring during the first 5 seconds. You may round your answer to 4 decimal places.
- Find the instantaneous velocity of the spring at �=5. You may round your answer to 4 decimal places.
Transcribed Image Text:Rates of Change: Oscillating Spring A
Complete the following prompts and give a written explanation.
Suppose that the position function of a spring in motion is given by
cos(x²)
3x + 1
where s is measured in centimeters and t is measured in seconds. Assume that t > 0
A. Find the displacement of the spring during the first 5 seconds. You may round your answer to 4 decimal places.
B. Find the average velocity of the spring during the first 5 seconds. You may round your answer to 4 decimal places.
C. Find the instantaneous velocity of the spring at t 5. You may round your answer to 4 decimal places.
s (t)
-
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