FORMULAS OF ACCELERATION DUE TO GRAVITY

The acceleration due to gravity formula or the acceleration due to gravity equation can be derived from the fundamental equations of motion.
They are,
v = u + at,
s = ut + (12)12 at2 and
v2 – u2 = 2as

Where v = Final Velocity
u = Initial Velocity
a = Acceleration
t = time taken.

In case of motion under gravity, the acceleration a and the distance s in the above equations are replaced by gravity g and the height of the object h.
Thus the acceleration due to gravity equations are,
v = u + gt,
h = ut +  (1/2)* gt2 and
v2 – u2 = 2gh

Where,
h = Height from ground level and
g = acceleration due to gravity.

When an object is thrown vertically upwards with an initial velocity u, the acceleration due to gravity acts as a Negative acceleration. That is, the velocity of the object gets reduced progressively, becomes 0 at a certain height and then the object starts falling like a free fall. The height at which the final velocity becomes 0 is the maximum height that the object can reach for a given initial velocity.

For a vertical throw, the acceleration due to gravity formulas can be formed by plugging in v = 0 and g = -g in the fundamental equations of motion. In such a case, the acceleration due to gravity equations are,
u=gt,
h = ut -  (1/2)* gt2 and
u2 = 2gh