MOTION OF OBJECTS UNDER THE INFLUENCE OF GRAVITATIONAL FORCE OF THE EARTH

Let us do an activity to understand whether all objects hollow or solid, big or small, will fall from a height at the same rate.

We know that an object experiences acceleration during free fall. , this acceleration experienced by an object is
independent of its mass. This means that all objects hollow or solid, big or small, should fall at the same rate. According to a story, Galileo dropped different objects from the top of the Leaning Tower of Pisa in Italy to prove
the same.

After putting value of g , equation will write as below :

As g is constant near the earth, all the equations for the uniformly accelerated motion of objects become valid with
acceleration a replaced by g .
The equations are:
v = u + at
s = u t + 12at2
v2 = u2 2as

After using g in place of a , then equation will be as below :

v = u + g t
H = u t + 12gt2
v2 = u2 + 2gs


where u and v are the initial and final velocities and s is the distance covered in time, t.
In applying these equations, we will take acceleration, to be positive when it is in the direction of the velocity, that is, in the direction of motion. The acceleration, will be taken as negative when it opposes the motion.

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