java - Smooth velocity based movement with predictable duration -

Anyone gets a good algorithm how to get a smooth but guessed traffic from the point I need a function to set the speed of each frame: <-> > GetVel function (current_poz: vector2, distance_poz: vector2, current_ vector2) {var new_vel: vector2d; ....... Return new_waves; }

and related:

  function GetDestTime (current_poz: vector2, distance_poz: vector2, current_ vector2) {var duration: float; ....... return period; }  

Using acceleration just gets a lot of good sliding, so that some nice smooth dump algorithms can be predicted exactly what I want.

Any thoughts? Let v (0) = 0 and v (T) = 0 and, v (t), eclipse.