Momentum will not play a roll in acceleration whatsoever. You are constantly working against that weighted force to accelerate. The only time momentum comes into play is when you stop the acceleration. At that point, the momentum will allow you to continue at the same speed for longer (and in the case of no losses, forever).
F = ma
Force = Mass x Acceleration
Acceleration = Force / Mass
For a given force (aka same exact FX), increasing mass (aka change from light wheels to heavy wheels) will lower acceleration, they're inversely proportional.
Now for momentum...
p = mv
Momentum = Mass x Velocity
Momentum is affected by the weight and how fast it's rolling, and outside forces such as drag, brakes (both disc and engine brake) and friction will reduce momentum to zero.
Velocity = Momentum / Mass, so for the same given weight (aka same exact FX/wheels), as momentum coasts down due to one of the losses stated above, the velocity will go down. This explains why your car will coast to an eventual stop if no more force is applied to keep it going (aka automatic transmission providing a continual force at idle).
In short, acceleration is always from a given speed to a new given speed, the time it takes to travel between the two. Going from 0-60 is straight up acceleration, and then going from 60-120 is like starting all over at 0 again, except for the fact that losses due partially to friction and mainly to drag will be greater.
