My head canon at least is that impulse engines don't work alone to drive a 700 kilotonne ship to 0.25c. The deflector uses subspace to effectively lower the mass of the ship to something capable of being driven to those spreads. Otherwise Einstein comes and fucks with you.
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There is an in universe hint of this in ENT 3x10, where the whole NX-01 Enterprise needs a force of 2500 Kilodynes to be pulled from a nebula. Which, if you do the math, results in the whole ship only weighing about 158 kg. Most of the times this is interpreted as a writing error, but could also be the result of some arcane technology such as inertial dampeners or the deflector dish.