Physical Fitness is a constant element in succeeding at West Point, and is tested as part of the Application process.  (The USMA summer training is called "BEAST" for a reason.  You have to be fit!)

The Fitness exam part of the Application is called the CFA or Candidate Fitness Assessment.

  The parts of the CFA include...

    - Mile Run
    - Push Ups
    - Pull Ups/ Flexed Arm Hang (women)
    - Sit Ups
    - Shuttle Run
    - Basketball Throw

As with all things Military, there is a very specific way each action is to be executed including sequence and time allowed for each part and rest between events.

The same exam is used for

US NAVAL ACADEMY
US MILITARY ACADEMY
US MERCHANT MARINE ACADEMY
US AIR FORCE ACADEMY

If you are applying to more than one Federal Service Academy, you only have to submit one set of scores for the Academies listed above.

The best example of the exact details can be found at...

                                             SERVICE ACADEMY CANDIDATE FITNESS ASSESSMENT

The US Military Academy instructions (a different way of saying the same thing) can be found at...
                                                 UNITED STATES MILITARY ACADEMY CFA

More information can be found here...