A street car moves rectilinearly from station A to the next station B (from rest to rest) with an acceleration varying according to the law `f = a-bx,` where a and b are constants and x is the distance from station A. The distance between the two stations and the maximum velocity are
A. `x=2a/b,v_(max)=a/(sqrtb)`
B. `x=a/2b,v_(max)=a/b`
C. `x=a/2b,v_(max)=b/(sqrta)`
D. `x=a/b,v_(max)=(sqrta)/b`