Freely Falling Body

Freely Falling Body

MOTION IN A LINE - FREELY FALLING BODY
Consider the case of an object moving in uniformly accelerated motion along a straight line OX with origin at O as shown in figure .Let its initial velocity at time t=0 is u after a time t it has final velocity v and dispalcement s.Suppose the acceleration a.
          

(1)Velocity-time relation:
or        v = u+at                -----(a)
(2)Position -time relation:
              \( \therefore s = ut + \frac{1} {2}at^2 \)  -----(b)
(3)Velocity-displacement relation:
or             \( v^2 = u^2 + 2as \)       ------(c)
(4)Distance covered in nth second in uniformly accelerated motion
          \( \therefore (S_n )_{th} = un + \frac{1} {2}a(2n - 1) \)  ------(d)