xset command allows you to change quite a few aspects of your desktop, including mouse acceleration.
xset m 2 1
The first number is the acceleration, the second is threshold. So, in the example I provided, the mouse will go 2X as fast once it's traveled 1px across the screen. Zero has some special connotations, so I'd stick with 1.
I wouldn't think you would need to set the acceleration too high to get what you're looking for.
This effect will disappear once you reboot/restart. If it works for you, the command can be added to your "Startup Applications" to be applied automatically.