Well, considering the fact that F = d(mv)/(dt), and taking mass as a constant, we can correctly say F = ma. Also since mass is constant, we can rewrite the original equation as F = mdv/(dt), and from there, we can write Fdt = mdv. Now, let's allow the time interval to be anything; it needn't be infinitesimally small. Therefore, F⌂T = m⌂v. Now we have the equation that relates impulse to momentum, which leads me to a nice segue.
Academic nerds are nerdier because we act based on logic and not our impulses (which are equal to our momenta). In other words, we are far less likely to drink and derive.
