Fuses

Fast acting are quicker .

Ahhhmmm...

Pretty much self evident . One is "fast acting" and the other is not. Kind of like asking, what is the difference between a black widget and a white widget.

The difference between "zip" and "kerphut".

CR4 is not a homework cheat site. Most (if not all) of your questions can be answered yourself with a simple internet or Wikipedia search, as we keep saying (and the CR4 site rules state).

Please don't waste our time.

Fuse manufacturer Cooper/Bussmann has some good literature and videos on this topic. Fuses have these ratings:

Nominal current (e.g., 60A, which will pass 60A indefinitely but will open or "blow" when this current is exceeded. The more it is exceeded, the faster the fuse blows. There are curves that show the relationship.)

Short-circuit interrupting capacity (the maximum current deliverable by the source that the fuse can interrupt properly).

Peak let-through current (the maximum transient current that can actually pass through the fuse; important for designing bus bar bracing to resist the momentary forces).

Peak let-through energy (voltage x current x time) that can pass through the fuse before it opens; relates to heating/melting of the protected conductors).

For motors and incandescent lighting, inrush or starting current is high, but briefly. Slow blow or time delay fuses are suitable. For some types of electronic loads that are sensitive even to brief overcurrents, fast-acting fuses are chosen. Heaters can be protected by normal blow fuses.

(That's oversimplified, and may vary in specific cases, but is the basic idea.)