Answers

2014-07-29T20:06:12+05:30
Dimention of a = dimention of s
                     = [MLT-²] 
dimention of b = dimention of s / dimention of x
                     = [MLT-²] / [L]
                     =  [MT-²]
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2014-07-29T21:14:11+05:30

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S = force = mass * accleration = M L T^-2 
So each term on R H S should have the same dimensions.
a = M L T^-2  and  bx = force               So   b  = M L T^-2  / L  = MT^-2

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