>>12828596>so power does not affect accelerationIt does it's just not as easy of a conversion. One again dimensional analysis is all that's needed. Power=energy/time. Here only kinetic energy is considered. Energy = m*v^2/2
P=d/dt(m*v^2/2)= m*v*a=m*a*integral(a)
With constant power the solution is a=k*sqrt(t)
P=m*k*sqrt(t)*k/(2*sqrt(t))
P=m*k^2/2 or k=sqrt(2*P/m)
a=sqrt(2*P*t/m).
The acceleration under constant power is the square root of 2 times the power times the time divided by the mass.
