Recent content by Ross Nichols
-
R
Integral of Acceleration with respect to time
Thank you, I think I was overcomplicating the problem in my head and you were able to pull my thoughts down to earth. Here is what I got: v = Antiderivative(a) v(t) = at + C When t=0, C = v0 So: v(t) = at + v0 Next, the second integral: x(t) = antiderivative(at + v0) x(t) = 0.5at2 +v0t + C When...- Ross Nichols
- Post #3
- Forum: Introductory Physics Homework Help
-
R
Integral of Acceleration with respect to time
Homework Statement Acceleration is defined as the second derivative of position with respect to time: a = d2x/dt2. Integrate this equation with respect to time to show that position can be expressed as x(t) = 0.5at2+v0t+x0, where v0 and x0 are the initial position and velocity (i.e., the...- Ross Nichols
- Thread
- Acceleration Integral Integrals Physical oceanography Time Velocity
- Replies: 2
- Forum: Introductory Physics Homework Help