Question

A train starts from station `A` with uniform acceleration `a_(1)`. For some distance and then groes with uniform retardation `a_(2)` for some more distance to come to rest at station `B`. The distance between stations `A` and `B` is `4 km` and the train takes `1//5 h` compete this journey. If accelerations are in km per mimute unit, then show that `(1)/(a_(1)) +(1)/(a_(2)) =x`. Find the value of `x`.

Answer 1

Correct Answer - 2
`t_(1)+t_(2) =4 min, v=a_(1)t_(1) =a_(2)t_(2)`
`S=(1)/(2)xx 4v rArr 4=2 v rArr v=2 `
.
`t_(1) + t_(2) =v[(1)/(a_(1)) +(1)/(a_(2))]`
`rArr 4=2 [(1)/(a_(1)) +(1)/(a_(2))] rArr (1)/(a_(1)) +(1)/(a_(2)) =2`.