I'm having a bit of trouble isolating "v" in the following equation:
d = (v/g) * (v + sqrt(v^2 + 2gh ) )
Thank you in advance for your attention and time.
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Multiply g/v to both the sides.
Square both sides and simplify.
This is precisely the part I need help with.
I am stuck at:
((dv)/g - v)^2 - v^2 = 2gh
Can I square root both sides and end up with:
(dv)/g - v - v = sqrt(2gh) ?
I really need help.
What do I do after ((dv)/g - v)^2 - v^2 = 2gh ?
Now solve for v.
Oh, thank you. Quick question though:
Isn't (dg)/v * -v = -dg rather than -2dg?
No. When expanding binomial squares you will get:
Remember that you get as well as which when you add them together you get -2dg
Wow, it has been a while. Thank you.
Now that I have (dg)/v = sqrt(2gh + 2dg), is it possible to slimpify but turning both into their reciprocals?
So, v/(dg) = 1/sqrt(2gh + 2dg), v = (dg)/sqrt(2gh + 2dg).
Is this correct?
You can further simplify it as
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