Suppose that a parachutist with linear drag (m=50 kg, c=12.5 kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. ( )Write a system of four differential equations for x.y,vx=dx/dt and vVy=dy/dt.
Suppose that a parachutist with linear drag (m=50 kg, c=12.5 kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. ( )Write a system of four differential equations for x.y,vx=dx/dt and vVy=dy/dt.
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Transcribed Image Text:2) Suppose that a parachutist with linear drag (m=50 kg, c=12.5 kg/s) jumps from an airplane
flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground.
а) (
) Write a system of four differential equations for x,y,Vx=dx/dt and vy-dy/dt.
) If the initial horizontal position is defined as x=0, use Euler's methods with At = 0.4 s to
b) (
compute the jumper's position over the first 40 s.
c) (
) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when
and where the jumper would hit the ground if the chute failed to open.
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