The theory of air resistance


  Suppose that we drop a ball of mass M = 1 kg
  in a vacuum chamber.  


  Q:  Write down an equation which gives the
          the acceleration as a function of time
          for this case.
          (Yes, it is trivial)


  Q:  Integrate to find an equation for velocity
          as a function of time.


  Q:  Integrate again to find an equation for position
          as a function of time.




  Q:  Can you integrate this equation find an equation for velocity
          as a function of time?