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A street car moves rectilinearly from st...

A street car moves rectilinearly from station `A` (here car stops) to the next station `B` (here also car stops) with an acceleration varying according to the law `f = a - bx`, where `a` and `b` are positive constants and `x` is the distance from station `A`. If the maximum distance between the two stations is `x = (Na)/(b)` then find `N`.

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