Cross Post from Classical Physics: Calculus in Impulse Momentum Theorem

[elementbrdr]

Hi,

This is my first post. Sorry for the mistakes it certainly contains.

I have two questions. First, is there a tutorial for using embedded LaTex? I found some general tutorials on LaTex, but I couldn't get some of the commands listed in that tutorial to work in the embedded LaTex code block. Second, can someone explain the calculus behind the impulse momentum theorem to me? I understand how to get to I = integral{t1 to t2} dp/dt dt. But I don't understand how that simplifies to p2 - p1. I probably just need to brush up on my integral calculus a bit, but I would appreciate it if someone could point me in the right direction.

Thanks!

 

[dextercioby]

Well, there's a dedicated thread on PF which explains you how to use LaTex.

As for the

I= \int\limits_{t_1}^{t_2} \frac{dp}{dt} \, dt =...

Just apply the fundamental theorem of calculus. What's the antiderivative of the integrand equal to ?