A woman bails out of an airplane at an altitude of 11,000 ft, falls freely for 15 s, then opens her parachute. How long will it take her to reach the ground? Assume linear air resistance v ft/s, taking p= 0.15 without the parachute and p= 1.5 with the parachute. (Suggestion: First determine her height above the ground and velocity when the parachute opens.) It will take her seconds to reach the ground. (Round to the nearest whole number as needed.)
A woman bails out of an airplane at an altitude of 11,000 ft, falls freely for 15 s, then opens her parachute. How long will it take her to reach the ground? Assume linear air resistance v ft/s, taking p= 0.15 without the parachute and p= 1.5 with the parachute. (Suggestion: First determine her height above the ground and velocity when the parachute opens.) It will take her seconds to reach the ground. (Round to the nearest whole number as needed.)
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:A woman bails out of an airplane at an altitude of 11,000 ft, falls freely for 15 s, then opens her parachute. How long will it take her to reach the ground? Assume linear
air resistance v ft/s, taking p= 0.15 without the parachute and p= 1.5 with the parachute. (Suggestion: First determine her height above the ground and velocity when
the parachute opens.)
It will take her seconds to reach the ground.
(Round to the nearest whole number as needed.)
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Step 1: Determine the given data:
VIEWStep 2: Determine the net force acting on the system and velocity as a function of time:
VIEWStep 3: Find the time at which terminal velocity reaches without parachute:
VIEWStep 4: Find the height of the object above the ground at 15 sec:
VIEWStep 5: Find the time taken to reach the terminal velocity after the parachute is open:
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