Don't confuse Speed with Power. Any air rifle can be made to shoot fast. Simply use the lightest weight pellet (Yes pellets come in different weights) and use Pelgun oil on the pellets. This doesn't make them accurate just fast. Lightweight pellets easily drift off target.
The Fastest Air Guns are in the PCP class of rifles (PerCharged Pneumatic ) They require special pumps or Scuba tanks to charge them to 2000 to 3000 PSI. An Example is an Air Force Condor that is adaptable to 12 different Barrels and has an adjustable power setting. It is capable of firring .177, .20 .22 or .25 Caliber pellets. It can drive a .177 cal pellet downrange at 1450 FPS.
Surprisingly, Olympic Match air gun rifles do not shoot fast. They shoot a heavy pellet at around 500 FPS but they are dead Accurate. An example is a Feinwerkdau model 800, It fires at 574 FPS and will cost you around $3,500.
A 30.06 is by far the farthest shooting rifle along with a 270 in second place It depends on what type of hunting but some of the farthest shooting are the 7mm mag,300 mag,338,204,308,30-06,280,270
It is illegal.
Abhinav Bindra of India
You can go to a range where they teach you how to shoot or you could buy and Air rifle and pellets and see how you get on with it as Air Rifles are not overly expensive. After a few years of practicing at a range or with your own Air Rifle you can become a Crack shot.
This should help you (see the link Below)
The Daisy Model 25 is designed for simple plinking and target shooting.
Gagan Narang from India won Bronze in 10 m air rifle shooting at Olympics 2012.
squrriel rabbit little birds nothing fancy maybe a coyote depending on what your shooting. i have taken several rabbits with my .177 air rifle but they are best suited for pop cans and such.
The Olympic air pistol and air rifle events use a .177 caliber pellet. The biathlon (skiing and shooting) uses a .22 caliber rim fire rifle.
A rifle used and designed for Target shooting only. As in shooting at an Olympic Target Match.
One of the best is a Feinwerkbau Westinger & Altenburger. Biathlon Air Rifle Model P700 Aluminum. Average cost $2,480. It's an Olympic Match Rifle. The best air rifles for target shooting are Olympic Biathlon match rifles.
Impossible to answer as asked.