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When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 117 seconds. t (sec) v (ft/s) 11 242 17 374 24 528 44 968 60 1320 63 1461 117 3999 lower estimate of distance traveled = miles upper estimate of distance traveled = miles

When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 117 seconds. t (sec) v (ft/s) 11 242 17 374 24 528 44 968 60 1320 63 1461 117 3999 lower estimate of distance traveled = miles upper estimate of distance traveled = miles

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a spaceship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 117 seconds. | t (sec) | v (ft/s) | |---------|----------| | 0 | 0 | | 11 | 242 | | 17 | 374 | | 24 | 528 | | 44 | 968 | | 60 | 1320 | | 63 | 1461 | | 117 | 3999 | Lower estimate of distance traveled = ______ miles Upper estimate of distance traveled = ______ miles To find the estimates, you would typically calculate the area under the velocity-time graph, using methods like the trapezoidal rule or Riemann sums to get lower and upper estimates.
Transcribed Image Text:When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a spaceship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 117 seconds. | t (sec) | v (ft/s) | |---------|----------| | 0 | 0 | | 11 | 242 | | 17 | 374 | | 24 | 528 | | 44 | 968 | | 60 | 1320 | | 63 | 1461 | | 117 | 3999 | Lower estimate of distance traveled = ______ miles Upper estimate of distance traveled = ______ miles To find the estimates, you would typically calculate the area under the velocity-time graph, using methods like the trapezoidal rule or Riemann sums to get lower and upper estimates.
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