Conversion of PS/torque to acceleration

Hello. I’m writing to the theorists among you. I’m mathematically trying to convert force into acceleration, but I’m stuck. I’m driving an old-timer whose engine power I don’t know and I don’t want to find out. I know all the values like weight of the car, gear ratios etc. and I know that the car comes to 100 in 8 seconds. Based on similar engines, you can also estimate the percentage of power over the speeds, but not the absolute speed. In the Internet I found a formula for the conversion (P=F*v= (m*v/t + 0,645*cw*A*v2 + 0,02*m*g)*v). m = mass in kg v = speed in m/s (27.8 m/s at 100km/h) t = time in sec cw = CW value A = area of the car in sqm (height x width) g = 9,81m/s2 In order to test the formula, I use my C-Class with 200hp and 1,660kg weight. According to Mercedes, this car accelerates from 0 to 100 in 7 seconds. But if I use the formula from the net, then my car would have to have power at 7 seconds and 1660kg 277hp. This is gross nonsense. The logical conclusion is that the formula is no good. What bothers me above all is that there are no values like the transmission ratio. Don’t you need them?