An object leaves point P1 with coordinates (−1,0) and travels with velocity v1=1 in a straight line to point P2 with coordinates (0,h) . It then travels with velocity v2=2 in a straight line from P2 to point P3 with coordinates (x , y ). Given x and y values there will be some optimal h value that minimizes the total travel time. Write a program in Scilab containing a function in the form function u = h(x,y) [your code goes here] endfunction u = h(1,2); disp(u); that calculates this optimal h value (to an accuracy of about 10^−6 ) given x and y values as arguments. Your function must work for any positive values of x and y.

An object leaves point P1 with coordinates (−1,0) and travels with velocity v1=1 in a straight line to point P2 with coordinates (0,h) . It then travels with velocity v2=2 in a straight line from P2 to point P3 with coordinates (x , y ). Given x and y values there will be some optimal h value that minimizes the total travel time. Write a program in Scilab containing a function in the form function u = h(x,y) [your code goes here] endfunction u = h(1,2); disp(u); that calculates this optimal h value (to an accuracy of about 10^−6 ) given x and y values as arguments. Your function must work for any positive values of x and y.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section12.5: Random Variables, Mean, Variance, And Covariance

Problem 5P

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Question

Given x and y values there will be some optimal h value that minimizes the total travel time. Write a program in Scilab containing a function in the form

function u = h(x,y)

[your code goes here]

endfunction

u = h(1,2);

disp(u);

that calculates this optimal h value (to an accuracy of about 10^−6 ) given x and y values as arguments. Your function must work for any positive values of x and y.

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