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

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Chapter1: Units, Trigonometry. And Vectors
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(c) At what time was the upward acceleration greatest?
(d) At what time was the deceleration greatest?
(e) What might have happened during this flight to explain the answer to part (d)?
(f) This particular flight ended on top of a hill. What was the height of the hill above the starting point?
Transcribed Image Text:(c) At what time was the upward acceleration greatest? (d) At what time was the deceleration greatest? (e) What might have happened during this flight to explain the answer to part (d)? (f) This particular flight ended on top of a hill. What was the height of the hill above the starting point?
The Montgolfier brothers (Joseph and Etienne) were eighteenth-century pioneers in hot-air ballooning. Had they had the
appropriate instruments, they might have left us a record, like that shown in the figure below, of one of their early experiments. The
graph shows their vertical velocity, v, with upward as positive.
v (ft/min)
20
10
t (min)
10
30
40
50
60
-10
-20
(a) Over what intervals was the acceleration positive? Negative?
The acceleration is positive
The acceleration is negative
(b) What was the greatest altitude achieved, and at what time?
20
Transcribed Image Text:The Montgolfier brothers (Joseph and Etienne) were eighteenth-century pioneers in hot-air ballooning. Had they had the appropriate instruments, they might have left us a record, like that shown in the figure below, of one of their early experiments. The graph shows their vertical velocity, v, with upward as positive. v (ft/min) 20 10 t (min) 10 30 40 50 60 -10 -20 (a) Over what intervals was the acceleration positive? Negative? The acceleration is positive The acceleration is negative (b) What was the greatest altitude achieved, and at what time? 20
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