Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to 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 graphica

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground.

a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt.

b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to 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.

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.
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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