- #1

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## Main Question or Discussion Point

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