Bus-Stop Problem !!!

Classical Mechanics Level pending

A Double-Decker bus moves rectilinear from bus-stop A to the next bus-stop B with an acceleration varying according to the law , f=a-bx, where a and b are constants and x is the distance from bus-stop A. The distance between the two bus-stops and the maximum velocity are

x = 4 a 2 b , v m a x = a b x=\frac { 4a }{ 2b } ,{ v }_{ max }=\sqrt { \frac { a }{ b } } x = 4 a 2 b , v m a x = b a x=\frac { 4a }{ 2b } ,{ v }_{ max }=\frac { b }{ \sqrt { a } } x = a 2 b , v m a x = b a x=\frac { a }{ 2b } ,{ v }_{ max }=\frac { b }{ \sqrt { a } } x = 2 a b , v m a x = a b x=\frac { 2a }{ b } ,{ v }_{ max }=\frac { a }{ \sqrt { b } }

Sayantan Paul by Sayantan Paul , 30, Spain

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