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 opposite to their velocity, with drag coefficient b= 11 N/(m/s). Also assume acceleration due to gravity is g = 9.8 m/s². The velocity of the diver changes with time, as modelled 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)

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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 opposite to their velocity, with drag
coefficient b= 11 N/(m/s). Also assume acceleration due to gravity is g = 9.8 m/s².
The velocity of the diver changes with time, as modelled by the following differential equation.
m = -mg-bv
dv
dt
Solve for u(t)= the velocity of the diver at time t, and determine the diver's terminal velocity:
lim v(t)
t-x
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 opposite to their velocity, with drag coefficient b= 11 N/(m/s). Also assume acceleration due to gravity is g = 9.8 m/s². The velocity of the diver changes with time, as modelled by the following differential equation. m = -mg-bv dv dt Solve for u(t)= the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x
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