Vertically Projected Body

Equations of motion for a body projected vertically upwards

In case  of a body projected vertically upwards  a = -g  
final velocity (v) = 0 at its highest point(maximum height). Therefore we get the equations of motion
(i) v=u+at => v=u-gt
(ii) \( S = ut + \frac{1} {2}at^2 \Rightarrow S = ut - \frac{1} {2}gt^2 \) ( s is the distance travelled by the body in t sec)
(iii) \( v^2 - u^2 = 2aS \Rightarrow v^2 - u^2 = 2( - g)S \)
(iv) \( S_n = u + a\left[ {n - \frac{1} {2}} \right] \Rightarrow S_n = u - g\left[ {n - \frac{1} {2}} \right] \) (s_n is the distance travelled in nth sec)