Motion in a straight line under gravity:
All the bodies which are allowed to fall from the height at a given place in vacuum have same constant acceleration. This acceleration is because of the gravitational attraction of body by the Earth towards the centre of it. It can be denoted by 'g'. In 'SI' system value of g is 9.8 m/sec2.
Equations for the Vertical Motion:
Case I:
When a body is projected downwards vertically with the initial velocity u then equation describing motions are
v = u + gt ......(1)
h = ut + 1/2gt2 ......(2)
v2 = u2 + 2gh ......(3)
hn = the distance covered in the nth second = u + 1/2g(2n -1)
Case II:
When the body is falling down freely, then
v = gt ......(1)
h = 1/2gt2 ......(2)
v2 = 2gh ......(3)
hn = 1/2g(2n -1) ......(4)
Case III:
When the body is projected vertically upward having initial velocity u, then
v = u -gt ......(1)
h = ut - 1/2gt2 ......(2)
v2 = u2 -2gh ......(3)
hn = u - 1/2g(2n -1) ......(4)
Greatest height attained = u2/2g ......(5)
Time to greatest height = u/g ......(6)
Time to given height 
Notes:
- Time from any point on path to highest point is same as the time from highest point to the given point when the body is coming back.
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