This is a study of Hall current, Heat Source with Radiation & Chemical reaction effects on First-order viscous fluid flow which is an incompressible fluid and we focus on heat and mass transfer past an accelerated isothermal vertical plate with Rotation. We employ Inverse Laplace Transform Technique to solve the ascendant mathematical equations. The numerical values are given after our study of the accelerated flow with respect to certain parameters like Thermal Grashof number, Printed number, Schmidth number, and Mass Grashof number. Based on the study we have deduced that, Velocity increases when Heat Source, Hall Current andGrashof Values rises, Velocity reduces when Radiation rises. Also, Temperature falls when radiation rises and temperature rises when Heat Source rises. Concentration reduces when chemical reaction increased.