A street car moves rectilinearly from station A to the next station B 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 & the maximum velocity are :

Options

A. `x=(2a)/b, v_("max")=a/sqrt(b)`
B. `x=b/(2a), v_("max")=a/b`
C. `x=a/(2b), v_("max")=b/sqrt(a)`
D. `x=a/b, v_("max")=sqrt(a)/b`

Answer

A