Page one derivations
X = the distance an object travels
t = elapsed time to travel distance X
Vo = velocity at X = 0, t = 0
V = velocity at end of time and distance traveled
a = acceleration, assumed to be unchangiing during t
We define acceleration as
define Dvelocity ..............Dtime
Rearrange terms to get page 1 line 1
We take as axiom
Define V ave = 1/2 (Vo +V) This is page 2, line 2
Start with p1,l2.......For V sub in p1,l1
Rearrange terms to get page 1 line 3
Take eq p1, l1 and square it
Factor this line
Terms in ( ) = x......This is page 1, line 4