An object leaves point P 1 with coordinates (−1,0) and travels with velocity v 1=1 in a straight line to point P 2 with coordinates (0, h ) . It then travels with velocity v 2=2 in a straight line...

An object leaves pointP1 with coordinates (−1,0) and travels with velocityv1=1 in a straight line to pointP2 with coordinates (0,h) . It then travels with velocityv2=2 in a straight line fromP2 to pointP3 with coordinates (x , y ).

Givenx andy values there will be some optimalh 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 optimalh value (to an accuracy of about 10^−6 ) givenx andy values as arguments. Your function must work for any positive values ofx andy.