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categoryفيزياء
schoolبكالوريوس
event_available2026-07-13
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7.
-/5 points BoyceDiffEQ10 2.3.023.
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A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 6000 ft and opens the
parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of
magnitude 0.75|v| when the parachute is closed and is of magnitude 12|v| when the parachute is open, where the
velocity v is measured in ft/s. (A computer algebra system is recommended. Use g = 32 ft/s² for the acceleration due to
gravity. Round your answers to two decimal places.)
(a) Find the speed of the skydiver when the parachute opens.
ft/s
(b) Find the distance fallen before the parachute opens.
ft
(c) What is the limiting velocity Vд after the parachute opens?
V₁ =
ft/s
(d) Determine how long the sky diver is in the air after the parachute opens.
S
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