How to derive this equation


by zeion
Tags: derive, equation
zeion
zeion is offline
#1
Sep4-10, 10:28 AM
P: 467
1. The problem statement, all variables and given/known data

I wanted to know how this equation is derived. Thanks.

2. Relevant equations

[tex] {v_{f}}^2 = {v_{i}}^2 + 2a\Delta d [/tex]

3. The attempt at a solution

[tex] v_{f} - v_{i} = \frac {\Delta d a} {\Delta v} [/tex]
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Fightfish
Fightfish is offline
#2
Sep4-10, 10:34 AM
P: 595
We have the two relations:
[tex]t=\frac{v-u}{t}[/tex]
[tex]s=\frac{1}{2}(u+v)t[/tex]

Substitute the first into the second and the deed is done.
bp_psy
bp_psy is offline
#3
Sep4-10, 10:40 AM
P: 452
Start from:
1. v=vo+at
2. r=ro+vo*t+(at^2)/2
Find t from 1 and replace in 2, do all the algebra and you are done.


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