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!

EvanWei123 Apr 20, 2019