# Free fall acceleration

Free fall acceleration:

If you throw something vertically upward and could somehow eliminate or ignore the effect of drag and air on the object , Then the object accelerates constantly when it goes up and falls down , This is called free fall.

If something falls freely under the effect of earth’s gravity without any effect of air then the phenomenon is called free fall.

While the free fall , no matter how big , small or weighty the object is ,  every object feel the same constant acceleration , the constant acceleration during free fall is called free fall acceleration.

The free fall acceleration of earth is denoted by “g” and it’s value at the surface of earth is approximately $9.8 m/s^2$ , But you should also note that the value of “g” varies slightly with change in latitude and elevation from surface of earth.

Free fall acceleration  equations:

Free fall acceleration is a constant acceleration so we can analyze the situations of free fall acceleration with a set of equations which are similar to constant acceleration equations.

We can use the constant acceleration equations to analyze the free fall with some changes in the equation.

We can suppose the motion in vertically upward direction as positive motion and the motion in downward direction as negative motion.

So we can replace the “acceleration = a”  in constant acceleration equations by “free fall acceleration = -g” and as the direction of the motion of object in free fall is vertically downward or upward so we can replace the “x 0″ with “y 0″ and “x” with “y” and get our final free fall acceleration equations as:

Equation 1: $v = v_0 - gt$
Equation 2: $y - y_0 = v_0.t - \frac{1}{2} g t^2$
Equation 3: $v^2 = v_0 ^2 - 2 g(y - y_0)$
Equation 4: $y - y_0 = \frac{1}{2} (v_0 + v) t$
Equation 5: $y - y_0 = vt + \frac{1}{2} gt^2$

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