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An ant travels from the point  A(0,-63) to the point B(0,74) as follows. It first crawls straight to (x,0) with x>=0, moving at a constant speed of sqrt2 units per second. It is then instantly teleported to the point (x,x). Finally, it heads directly to B at 2 units per second. What value of should the ant choose to minimize the time it takes to travel from A to B? Thanks for the help!

 Apr 20, 2019
edited by EvanWei123  Apr 20, 2019
 #1
avatar+106535 
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Here's  one method of solving this  [ graphical solution ] :

 

https://web2.0calc.com/questions/interesting-geometry

 

 

cool cool cool

 Apr 20, 2019
 #2
avatar+139 
+1

Thanks CPhill!

 Apr 21, 2019

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