Question

hey genius,
there is a new challenge for u,

state and prove newton's 4 equation of motion's law that is,
$s_{n} = u + \frac{a}{2} (2n - 1)$

Answer 1

The distance covered is given by
S = ut+1/2at^2

Distance covered in n second (t = 1 )
Sn = un+1/2an^2 ----1

Distance covered in n-1 seconds (t = n-1 )
Sn-1 = u(n-1) + 1/2a(n-1)^2 -------2

Distance covered in nth seconds
Subtrcting eq. 1 from 2
Sn - Sn-1 = un + 1/2an^2 -[u(n-1) + 1/2a(n-1)^2]
Now solve it.
U will get ur answer.