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Montgolfier brothers (Joseph and Etienne) were eighteenth-century pioneers of hot-air ballooning. Had they had the appropriate instruments, they might have left us a record, like that shown in figure below, of one of their early experiments. The graph shows their vertical velocity, v, where positive velocity is upward. (ft/min) v 20 10 0 -10 10 20 30 40 50 60 t (min)

Montgolfier brothers (Joseph and Etienne) were eighteenth-century pioneers of hot-air ballooning. Had they had the appropriate instruments, they might have left us a record, like that shown in figure below, of one of their early experiments. The graph shows their vertical velocity, v, where positive velocity is upward. (ft/min) v 20 10 0 -10 10 20 30 40 50 60 t (min)

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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1. The Montgolfier brothers (Joseph and Etienne) were eighteenth-century pioneers of hot-air ballooning. Had they had the appropriate instruments, they might have left us a record, like that shown in figure below, of one of their early experiments. The graph shows their vertical velocity, v, where positive velocity is upward. v (ft/min) 20 Fly 10 20 30 40 50 60 10 0 -10 -20 a. Over what intervals was the acceleration positive? b. Over what intervals was the acceleration negative? c. What was the greatest altitude achieved, and at what time? t (min) d. This particular flight ended on top of a hill. How do you know that it did, and what was the height of the hill above the starting point?
Transcribed Image Text:1. The Montgolfier brothers (Joseph and Etienne) were eighteenth-century pioneers of hot-air ballooning. Had they had the appropriate instruments, they might have left us a record, like that shown in figure below, of one of their early experiments. The graph shows their vertical velocity, v, where positive velocity is upward. v (ft/min) 20 Fly 10 20 30 40 50 60 10 0 -10 -20 a. Over what intervals was the acceleration positive? b. Over what intervals was the acceleration negative? c. What was the greatest altitude achieved, and at what time? t (min) d. This particular flight ended on top of a hill. How do you know that it did, and what was the height of the hill above the starting point?
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