1.

A train takes f s to perform a journey. It travels for (t)/(n) s with uniform acceleration, then for (n -3) (t)/(n) with uniform spced v and finally it comes to rest with unifom retardation. The average of the speed of the train is

Answer»

`(3n-2) (nu)/(2N)`
`(2n-3) (nu)/(2n)`
`(3n-2)(nu)/(3n)`
`(2n-3)(nu)/(3n)`

Solution :
Displacement = AREA under `nu-t` graph
`=(1)/(2)(t+(N-3)(t)/(n))nu`
`"Average speed " = ("TOTAL displacement ")/("Total time")`
`=((1)/(2)(t+(n-3)(t)/(n))nu)/(t)`
`=nu/(2)(1+(n-3)(1)/(n))=(nu)/(2n)(2n-3)`


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