The engine driver of a train moving at a spoed `v_(1)` sights a freight train a distance dahead of him on the same truck moving in the same direction with a slower speed `v_(2)` He puts on the brakes and gives his train a constant deceleration a. Then there will be no collision if

Options

A. `d lt(v_(1)-v_(2))/(2alpha)`
B. `d lt(v_(1)-v_(2))/(2alpha)^(2)`
C. `d gt(v_(1)-v_(2))/(2alpha)^(2)`
D. `d =(v_(1)-v_(2))/(2alpha)`

Answer

C

Explanation

For movement along some track in the same direction Relative velocity =`(v_(1)-v_(2)) therefore` Distance covered=`(v_(1)-v_(2))^(2)/(2alpha)` For no collision, `d gt (v_(1)-v_(2))^(2)/(2 alpha)`