Integrating V = V(initial) + at

[Alem2000]

sorry i didnt use latex..I tried...its annoying


V=V(initial) + at...when you integrate both sides you get x=x(initial) + ..?
I had a little trouble trying to integrate the (at) do you use the uv-integral(v DV) theorm...well i used that and it and it didnt give me the second equation for constant a...near to it but off by two terms. Would anyone be kind enough to show me?

 

[Doc Al]

Somethings messed up with your formatting. Is your question how to get from this:
v = v_0 + at
to this:
x = x_0 + v_0 t + 1/2 a t^2
If so, it's straightforward integration, since v = dx/dt.

 

[Alem2000]

I understand the first two terms must give you x and x initial. But I can't seem to grasp where the rest..are you integrating from time initial to time t?

 

[Doc Al]

Yes, you are integrating both terms, v_0 and a t, from the initial time (t = 0) to t. x_0 is just the integration constant = initial position.