How do I rearrange this equation for T?

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AI Thread Summary
To rearrange the equation Δy = Voy t - 1/2 g t² for T, it can be transformed into the standard quadratic form: 1/2 g t² - Voy t + Δy = 0. This resembles the quadratic equation ax² + bx + c = 0, allowing the application of the quadratic formula. By identifying a = 1/2 g, b = -Voy, and c = Δy, the quadratic formula can be used to solve for T. The solution will yield two possible values for T, reflecting the nature of quadratic equations. Understanding this method is essential for correctly isolating T in the given equation.
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Homework Statement


I need to rearrange the following equation for T. I haven't done this for so long, that it has slipped my mind.


Homework Equations


change in y = Voy t - 1/2 g t2


The Attempt at a Solution


t = (change in y + 1/2) / (Voy - g)

I know this is completely wrong, but I can't, for the life of me, figure it out. :/
 
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mandy9008;2761327 [h2 said:
The Attempt at a Solution[/h2]
t = (change in y + 1/2) / (Voy - g)

I know this is completely wrong, but I can't, for the life of me, figure it out. :/

So you have Δy= v0t-1/2gt2

this can be written as 1/2gt2-v0t+Δy = 0

doesn't this look similar to at2+bt+c=0?

now apply the quadratic equation formula.
 
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