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SISTEMA LINEAL

The train was carrying the monthly payroll on that warm summer day. Billy the Kid knew it and planned to add the payroll to his hidden mountain cache. The train had just left LasCruces heading for Deming, New Mexico and was clipping along at 20 miles per hour. Billy was 3 miles behind the train when he started to chase it. His horse was able to run 25 miles per hour. Pat Garretwas at a party in Las Cruses when a messenger told him about seeing someone riding after the train. By the time Pat Garret was able to start his pursuit he was 2 miles behind Billy. Pat's horse wasonly able to run 24 miles per hour, and could only run that speed for 1 hour before collapsing.

A. 1. Do you think Pat caught up with Billy before Bill caught up with the train? ____
Why orWhy not?________________________________________________

2. Do you think that Pat was able to catch the train?_________ Why or why not? _____________________________________

B. Set up aSTELLA diagram to model the train's position, Billy's position, and Pat Garret's position. Each will have a stock and a flow. The flow will be its speed. Set Pat's starting position to 0. Choose TimeSpecs... from the Run menu. Set the model simulation time for 2 hours, and the DT to .1. Print out a graph of the three stocks with a vertical axis of 0-50 for all 3. Print a table for the model.C. Did Billy catch the train?_______ If so, at what time after the simulation started did he catch the train?_______ Did Pat catch Billy before Billy caught the train? If so, at what time?__________ Ifnot, when did Pat catch the train?_________________

D. What distance and length of time had each horse run before their riders caught the train?

| |Distance|Time |
|Billy's Horse | | |
|Pat's Horse...