25. A skydiver weighing 180 lb (including equipment) falls vertically downward from an altitude of 5,000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance is 0.75|v| when the parachute is closed and 12|v| when the parachute is open, where the velocity v is measured in feet per second. (a) Find the speed of the skydiver when the parachute opens. (b) Find the distance fallen before the parachute opens. (c) What is the limiting velocity v, after the parachute opens? (d) Determine how long the skydiver is in the air after the parachute opens. (e) Plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground. OAnswer

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25. A skydiver weighing 180 lb (including equipment) falls vertically downward from an altitude of 5,o00 ft and opens the parachute after 10 s
of free fall. Assume that the force of air resistance is 0.75 v| when the parachute is closed and 12|v| when the parachute is open, where the velocity v
is measured in feet per second.
(a) Find the speed of the skydiver when the parachute opens.
(b) Find the distance fallen before the parachute opens.
(c) What is the limiting velocity v, after the parachute opens?
(d) Determine how long the skydiver is in the air after the parachute opens.
(e) Plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.
(> Answer
Transcribed Image Text:25. A skydiver weighing 180 lb (including equipment) falls vertically downward from an altitude of 5,o00 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance is 0.75 v| when the parachute is closed and 12|v| when the parachute is open, where the velocity v is measured in feet per second. (a) Find the speed of the skydiver when the parachute opens. (b) Find the distance fallen before the parachute opens. (c) What is the limiting velocity v, after the parachute opens? (d) Determine how long the skydiver is in the air after the parachute opens. (e) Plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground. (> Answer
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