00:01
So again, we're told the particle moves in simple harmonic motion, and we know we know the amplitude is 15 inches and the maximum acceleration is 15 feet per second squared.
00:11
And we want to determine the maximum velocity and that frequency.
00:16
So simple harmonic motion, again, we can just write it like this, where we've shifted time so that x, the displacement is zero when t equals zero.
00:26
And we're given an amplitude and we're given a max acceleration.
00:32
We can simply take derivatives to get our velocity and our acceleration.
00:38
And our maximum acceleration is a, omega, n squared.
00:42
And we're told that that's 15 meters or 15 feet per second squared...