Kinematic Equations for Free Fall

Kinematic Equations for Constant Acceleration

 V_{f= final velocity}     V_i= initial velocity     
   t = time                 a = acceleration     
Δx =displacement along the x-axis

 

          By using kinematic equations for constant acceleration, we can determine the final velocity, initial velocity, acceleration, time, and the displacement of an object through the x- axis. 

          In free fall motion, we can derive the equations using the Kinematic Equations for Constant Acceleration. 

          In doing this, let us consider that freely falling objects moves in a vertical direction that is, along the y-axis. instead of using Δx, we will use Δy. 

Kinematic Equations for Free Fall

          The positive acceleration a is used to denote an increasing acceleration. In free fall motion, it is always influenced by the pull of gravity and so, we denote the acceleration as g. The value of g decreases with increasing altitude. At Earh's surface, the value of  g is approximately 9.80 m/s²  assuming that AIR RESISTANCE is negligible. 

          It's conventional to define "up" as the + y-direction and to use y as the position variable. In that case the acceleration is: 

a = -g = - 9.80 m/s².