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6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: m = -mg - bv du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x

6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: m = -mg - bv du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: m -mg - bv lim v(t) t→∞
Transcribed Image Text:6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: m -mg - bv lim v(t) t→∞
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