Adding to the already posted answers, I'd like to encourage you to experiment a little to better grasp the relation between force, acceleration and velocity:
Get yourself a spring balance, to be able to measure the applied force (instead of just feeling it). Use the spring balance to drag some object along an even surface at different speeds. You should find that the applied force only changes, when changing the speed (i.e. while accelerating). The measured force should, however, be the same for different constant speeds (more or less, considering measurement errors), because you only need to counteract the force of friction, which is independent of the actual speed.
Try the experiment with different objects and/or different pairings of materials (object and surface). You should find that mass and the friction coefficient are the only factors that influence the required force to achieve any constant speed.
If you want to take my word on the outcomes, this can suffice as a thought experiment. I'd recommend to get your hands dirty though ;)