00:01
And this question, you look, you're asked to calculate basically the, uh, the position, right, um, on the certain of a particle that's under action of certain forces, right? that you are given three possible forces, right? so, you know, the, um, the, uh, the second newton's second law is that acceleration, which is the second all time derivative of x, uh, given by, uh, you know, uh, if, which is the force divided by m, right? um, so you're to find the position, right? so basically, you first need to find the velocity, and then you find the position, right? so you assume that the particle initially at rest, with position being zero, right? so let me write like this way.
00:53
X dot equals velocity, right? and three dot equals acceleration, which is f of m.
00:59
So you can find the v, right? so vt is just given by over, m is the mass of the particle and integrate from 0 to t, the, the, the, the, the, um, the force, right.
01:10
Uh, so if, for example, you look at the situation in one, uh, that would be vt equals of m 0, t.
01:20
And ft prime, d prime, you can write as f, nought plus c t prime, and t prime, and t prime, okay? so you do the integration, you'll find you have two terms...