The driver of a train moving at a speed ` v_(1)` sights another train at a disane ` d`, ahead of him moving in the same direction with a slower speed ` v_(2)`. He applies the brakes and gives a constant teradation ` a` to his train. Show that here will be no collision if ` d gt (v_(1) -v_(2))^(2) //2 a`.

Options

A. `d gt ((u_1 - u_2)^2)/(2 alpha)`
B. `d le ((u_1 -u_2)^2)/( 2 alpha)`
C. `d= ( u_(1)^(2) +u_(2)^(2))/( 2 alpha)`
D. `d=sqrt((u_(1)^(2) +u_(2)^(2))/( 2 alpha))`

Answer

A