Gravitational Representation of Free Fall

There are majorly two graphs that can be observed of an object under Free Fall. One is the Position-Time graph and the other one is the Velocity-Time graph. The position-time graph will show a curve going down since that object is experiencing acceleration, the starting of the graph will not be curvy since the initial velocity is zero. The velocity-time graph is observed to be having a negative slope since the acceleration is in a downwards (negative) direction.

Position- Time Graph for Free Fall

Velocity- Time Graph for Free fall

Newtonian Mechanics (Equation of motion under Free Fall condition)

When a body is in motion whether it is moving in 1-dimension, 2-dimension, projectile, free fall, etc. If it is moving with constant acceleration, The equation of motion by Sir Isaac Newton is applied to the object. There are three formulae or three equation of motion and free fall equation are derived from those 3 basic equations. These are,

First Equation of motion ⇢ v = u+ at

Second equation of motion ⇢ S = ut + 1/2(at²)

Third Equation of motion ⇢ v = u²+ 2as

Condition under Free Fall,

Initial velocity (u) = 0
Acceleration = acceleration due to gravity (g)

Hence, the equation obtained are,

v = gt
h = 1/2(gt²)
v = 2gh

Read More,

Motion Under Gravity
Acceleration of Free Fall
SI Unit of g

Free Fall

There are always two cases of things falling to the ground. One is when something is thrown to the ground, for example, throwing a ball. While the other case is when something is dropped to the ground, For example, dropping the ball or accidentally dropping the phone from hands (It will break for sure). These two cases are evidence of the effect of gravity discovered by Sir Isaac Newton.

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