NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and passengers float freely in apparent "weightlessness." The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 30,850 ft, where it begins a parabolic arc with a velocity of 155 m/s at 45.0° nose-high and exits with velocity 155 m/s at 45.0° nose-low. 31 000 45° nose high 45° nose low 24 000 Zero g 65 Maneuver time (s) (a) What is the aircraft's speed (in m/s) at the top of the parabolic arc? 110.0 m/s (b) What is the aircraft's altitude (in ft) at the top of the parabolic arc? 2.04e+04 What is the initial height at the start of the parabolic arc? What is the initial velocity at this point? What is the final vertical component of velocity at the maximum height? ft

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NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and
passengers float freely in apparent "weightlessness."
The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 30,850 ft, where it begins a parabolic arc with a velocity of 155 m/s at 45.0° nose-high and exits with velocity 155 m/s at 45.0° nose-low.
31 000
45° nose high
45° nose low
24 000
Zero g
65
Maneuver time (s)
(a) What is the aircraft's speed (in m/s) at the top of the parabolic arc?
110.0
m/s
(b) What is the aircraft's altitude (in ft) at the top of the parabolic arc?
2.04e+04
What is the initial height at the start of the parabolic arc? What is the initial velocity at this point? What is the final vertical component of velocity at the maximum height? ft
Transcribed Image Text:NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and passengers float freely in apparent "weightlessness." The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 30,850 ft, where it begins a parabolic arc with a velocity of 155 m/s at 45.0° nose-high and exits with velocity 155 m/s at 45.0° nose-low. 31 000 45° nose high 45° nose low 24 000 Zero g 65 Maneuver time (s) (a) What is the aircraft's speed (in m/s) at the top of the parabolic arc? 110.0 m/s (b) What is the aircraft's altitude (in ft) at the top of the parabolic arc? 2.04e+04 What is the initial height at the start of the parabolic arc? What is the initial velocity at this point? What is the final vertical component of velocity at the maximum height? ft
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