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...
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...