00:05
And this question, we look at a particle, right, which moves along the x -axis.
00:10
So in such a way that the position of this particle, x -t, is actually given by sign, you know, kind of exponential t, right? so you ask, you found the velocity in acceleration of the particle, right? so the velocity vt, of course, is given by the derivative x, right? and that, of course, is given by, you know, even if you differentiate the sine, you will get a cosine, e, t, right? and then you have the differentiate e .t, you get, of course, e .t, right? and how about the acceleration of a .t? well, that's, of course, given by you differentiate the velocity, right? and if you differentiate this function, you get two parts.
00:49
One is, first, if you differentiate this part, you would get your minus sine e .t, and then you get also another eat.
00:57
So you get e .t here and another e .t, so you get two t, right? and then i also have the part which is plus, cosine, e, t, and times, you know, differentiate this part that actually does not change, right? so this will be the acceleration...