SOLUTION: I'm stuck. I am supposed to solve for t and the original equation is: x=vt-(1/2)at^2 Here is what I have done so far. 2x=2vt-at^2 2x=t(2v-at) t=2x/(2v-at) But since I am sup

Question 49749: I'm stuck. I am supposed to solve for t and the original equation is:
x=vt-(1/2)at^2
Here is what I have done so far.
2x=2vt-at^2
2x=t(2v-at)
t=2x/(2v-at)
But since I am supposed to solve for t how do I get the other t out or am I done?
Thanks!!
Andrea
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, your first few steps are fine. Remember, when you solve an equation for a specified variable, in this case it's t, you have to write the equation so that the variable t in on one side of the equals sign and everything else is on the other side. If you have a t on both sides of the equation, the job won't be finished. Let's pick it up where you got it right so far:
Now this begins to look much like a quadratic equation in t, so let's put it into the standard form for quadratic equations:
This is the same equation you had only it's now in the standard form. Now you can solve this quadratic equation using the quadratic formula: In your equation: a = a, b = -2v, and c = 2x
Simplify this.

As with any quadratic equation, there are two solutions:
and

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