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4. The following table shows the time T, in seconds, that it takes for a rock to fall S feet on a certain planet. Distance s Time t 10 .63 20 .89 30 1.10 40 1.26 a. Find a power model for the data b. How long does it take for a rock to fall 70 feet? c. How far does a rock fall in 2 seconds? d. What effect does doubling the distance fallen have on the time? 50 1.41

4. The following table shows the time T, in seconds, that it takes for a rock to fall S feet on a certain planet. Distance s Time t 10 .63 20 .89 30 1.10 40 1.26 a. Find a power model for the data b. How long does it take for a rock to fall 70 feet? c. How far does a rock fall in 2 seconds? d. What effect does doubling the distance fallen have on the time? 50 1.41

Advanced Engineering Mathematics
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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**4. The following table shows the time T, in seconds, that it takes for a rock to fall S feet on a certain planet.** | Distance s (feet) | Time t (seconds) | |-------------------|------------------| | 10 | 0.63 | | 20 | 0.89 | | 30 | 1.10 | | 40 | 1.26 | | 50 | 1.41 | **Questions:** a. Find a power model for the data. b. How long does it take for a rock to fall 70 feet? c. How far does a rock fall in 2 seconds? d. What effect does doubling the distance fallen have on the time?
Transcribed Image Text:**4. The following table shows the time T, in seconds, that it takes for a rock to fall S feet on a certain planet.** | Distance s (feet) | Time t (seconds) | |-------------------|------------------| | 10 | 0.63 | | 20 | 0.89 | | 30 | 1.10 | | 40 | 1.26 | | 50 | 1.41 | **Questions:** a. Find a power model for the data. b. How long does it take for a rock to fall 70 feet? c. How far does a rock fall in 2 seconds? d. What effect does doubling the distance fallen have on the time?
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