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

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter3: Assignment, Formatting, And Interactive Input
Section3.6: A Case Study: Acid Rain
Problem 7E
icon
Related questions
Question

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Fundamentals of Boolean Algebra and Digital Logics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
C++ for Engineers and Scientists
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr