A train is moving at a constant speed `V` when its driverobserves another train in front of him on the same track and voing in the same direction with constant speed `v`. If the distance berween the trains is `x`. Trains is `x then what should be the minimum retardation of the train so as to avoed collision?.

Options

A. `(V_+v)^(2)/(x)`
B. `(V_+v)^(2)/(x)`
C. c. `(V_+v)^(2)/(2x)`
D. `(V_+v)^(2)/(2x)`

Answer

D

Explanation

Hence, relative velocity of the train w.r.t. other train is `V-v`, Hence, `0-(V-v)^(2) =2ax`
or `a=-((V-v)^(2))/(2x)` Minimum retardation =`((V-v)^2=(2)))/(2x)`.