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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