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. `dlt((v_(1)-v_(2))/(2alpha))`
B. `dlt((v_(1)-v_(2))^(2))/(2 alpha)`
C. `dgt((v_(1)v_(2))^(2))/(2alpha)`
D. `d=(v_(1)-v_(2))/(2alpha)`

Explanation

`V_("rel")^(2)=U_("rel")^(2)+2a_("rel")s_("rel")`
`O=(V_(1)-V_(2))^(2)+2(-alpha)d`'
`d'=((v_(1)-v_(2))^(2))/(2alpha) dgtd`'