how to get formula s=1/2(αβ/α+β)t^2

Question

I want to know how we can get this 

 

formula:-

s =  s=1/2(αβ/α+β)t^2

Answer 1

If α and β are constants, then it looks like a displacement formula for constant acceleration motion in a straight line, starting from rest at an initial position of s = 0:

 

s(t) = (1/2)at²,

 

where the acceleration "a" equals the expression in parenthesis.

 

But the expression in the parentheses seems to be stated incorrectly.  Why would you write

 

αβ/α + β instead of just 2β?  Perhaps you really meant αβ/(α + β) ?