- #1
Markel
- 84
- 0
Hello,
Just wondering if someone can help me make sense of something. I realize it's probably a simple problem, but my math skills aren't the best and I can't see through it.
I'm trying to end up with this kinematic equation:
X= Xo + Vo(t-to) + 1/2(a)(t-to)^2
And to do this the book tells me to insert this equation:
V=Vo + a(t-to)
Into this one:
X=Xo + ∫ vdt (integrated from to -> t)
And then solve this:
X=Xo + Vo∫ dt (from to->t) + a ∫ (t - to)dt (from to -> t)
I am stuck on the second integration.
How do I integrate (t-to)dt from to --> t ??
I realize that there are a few methods on how to get these equations, it seems like everybook I look at does it in a different way, but I want to understand this method.
(also, as you can probably tell, I'm new here and I'm not sure the best method of writing math symbols on a computer, can anyone sugest how to do it?)
thanks
Just wondering if someone can help me make sense of something. I realize it's probably a simple problem, but my math skills aren't the best and I can't see through it.
I'm trying to end up with this kinematic equation:
X= Xo + Vo(t-to) + 1/2(a)(t-to)^2
And to do this the book tells me to insert this equation:
V=Vo + a(t-to)
Into this one:
X=Xo + ∫ vdt (integrated from to -> t)
And then solve this:
X=Xo + Vo∫ dt (from to->t) + a ∫ (t - to)dt (from to -> t)
I am stuck on the second integration.
How do I integrate (t-to)dt from to --> t ??
I realize that there are a few methods on how to get these equations, it seems like everybook I look at does it in a different way, but I want to understand this method.
(also, as you can probably tell, I'm new here and I'm not sure the best method of writing math symbols on a computer, can anyone sugest how to do it?)
thanks