Caps should get a HUGE speed up. mass has little to no effect on movement in space, theres no atmosphere to slow you down with friction and little to no gravity, so the bigger ship should technically move faster simply because its engines are bigger.
No gravity in space might make ships
weight drop to zero, and no atmosphere might cut out friction, but neither of those do anything to mass and, more importantly
Momentum. I'd recommend you learn a bit more about Newtonian Physics, Centrifuge, and Einstein's Theory of Relativity (well, minimally. I mainly just added this in to sound cool and smart, although time dialation can factor into what I'm about to explain). Particularly the effects of generated Gravity produced by high accelerations.
I'm sure that you know just how tight and heavy the feeling of accelerating to about 22 mph (35km/h) in 1 second may be. That, Ironhandx, is called 1 gravity, or 1 g of acceleration (Compare the average acceleration of about .3 g's or about 7 mph/s (11km/h/s)). Boost that by 9 gravities. 10 gravities of acceleration, or 220 mph (353 km/h) per second. Now, figure in a person's weight, and using an average weight of, oh, say 150 lbs (68kg). 10 gravities of acceleration turns that into 1,500 lbs (680kg) or 3/4 of a ton. Now, imagine yourself sitting in a chair, with a Sudan or SUV sitting on your chest. And I don't mean one wheel, with every other wheel anchored. I mean the whole vehicle balanced on your chest. Of course, to make it fair, there would have to be a sheet that conformed to your body, so that the weight is evenly distributed, but still, imagine 3/4 of a ton pressing on every inch of your body.
Now, imagine a massive space ship, or even a small space ship, that needs to accelerate at reasonable rates to travel across the huge expanse of space. These ships will probably want to hit about 100+ gravities for potentially several hours, just so that it wouldn't take many months or even years to travel to other planets or systems. Then, imagine that ship flipping over and accelerating in the opposite direction. Why? Why, to slow down, of course. More g force.
Now, it's not all doom and gloom. With sufficiently powerful artificial gravity generators, or inertial compensators, it's possible to counter the effects of the powerful acceleration needed to travel across millions of miles (or kilometers). But it takes a
LOT of power to do so, especially at higher g's. Power that can't be wasted on ships that have to rely on power to run weapons, sensors, communications.... life support....
I hope this has helped you understand the full concept of acceleration, and just how important it would be to avoid turning your crews into messy paste on the bulkheads.
Now, I rest my case.