Manipulating the Symple Equation to Solve for Initial Velocity

Thread starter vnonwong
Start date Sep 20, 2010
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Manipulation

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To solve for initial velocity (Vi) in the equation d = 1/2 (Vf + Vi) t, it can be manipulated as follows: first, isolate the term (Vf + Vi) by multiplying both sides by 2, resulting in 2d = (Vf + Vi) t. Next, divide both sides by t to get (2d/t) = Vf + Vi. Finally, rearranging gives Vi = (2d/t) - Vf. The discussion emphasizes careful handling of fractions during manipulation to avoid errors.

Sep 20, 2010

vnonwong

Manipulate "d = 1/2 (Vf + Vi) t" to find Vi

Heres my attempt:

d = 1/2 (Vf + Vi) t
d/2 = (Vf + Vi) t
(d/2) / t = Vf + Vi
((d/2) / t) - Vf = Vf + Vi

I am pretty confident that i did this right but the equation seems to be a little funny looking and I just want to confirm with some pros here, thanks for reading and replying!

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Sep 20, 2010

pat666

not quite- 2d/t-vf=vi be careful with your fractions!

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