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Motion of objects under the influence of gravitational force of the earth:We know that an object experiences acceleration during free fall. From Eq. 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.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 = ut + ½ at^2
v^2= u^2+ 2as
Whereuand vare the initial and final velocities and s is the distance covered in time, t.In applying these equations, we will take acceleration, a to be positive when it is in the direction of the velocity, that is, in the direction of motion. The acceleration, a will be taken as negative When it opposes the motion.
