1.

A train moves from rest with acceleration alpha and in time t_(1) covers a distance x. It then decelerates rest at constant retardation beta for distance y in time t_(2). Then

Answer»

`(X)/(y) = (BETA)/(alpha)`
`(beta)/(alpha)=(t_(1))/(t_(2))`
x=y
`(x)/(y)=(betat_(1))/(alphat_(2))`

Solution :Slope of `nu-t` graph = ACCELERATION.
`alpha=(nu_(0))/(t_(1)),beta=(nu_(0))/(t_(2)):.(beta)/(alpha)=(t_(1))/(t_(2))`
Displacement = area under
`nu-t` graph
`:. X = (1)/(2) t_(1)xxnu_(0)` and `y=(1)/(2)t_(2)xxnu_(0)`
Hence `(x)/(y) = (t_(1))/(t_(2))=(beta)/(alpha)`


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