Problem statement, I am calculating the time it takes for my motorcycle to reach 55 miles per hour, through its engine Horsepower, Torque, transmission gearing, and sprocket gearing.(chain driven) I am using the equations: F=[mass/g]*[dV/dt] dt=[mass/g]*[dV/F] t=∫[mass/g]*[dV/F] F=[(torque*Drive ratio*gear ratio*primary drive)/(tire radius)] V=[(RPM*tire radius*2pi)/(Drive ratio*Gear ratio*primary drive*60)] F'=[mass/g]*[1/F] Using these equations I plan to graph Force Inverse, F', vs Velocity. With this graph I will find the area under curve from 0 to 55mph. which should be Time? I am using the rpm range of the engine, 2000-9000, and I am find F,F', and V for all gears of transmission, 1-5. Does this look correct, equation wise? I recently met with my Calculus II teacher and he said it did not look correct. Any help would be great, I am a mechanical engineering student and I am very curious. I know this is an in depth question, I am simply asking if my equations look correct and if graphing Force Inverse vs. Velocity will be correct in finding area under curve, time. Thank you, I can add additional info if needed!