# Can anybody show me a diagram of a Disevenly accelerated movement?

The problem related to my question is that it should be impossible to integrate such a function or I am just not familiar with doing it for that example.

Maybe it helps to understand my question, I figgured out a Disevenly accelerated movement and know I have to depict the in a diagram and also the velocity and the way.

I am sure that the diagram actually is not depicting an acceleration. But the graph is similar, which is crucial for that case.

• [...] it should be impossible to integrate such a function [...] You can integrate such a function piecewise. For the shown diagram, you might do something like $\int_0^{57.5} \dots \mathrm{d}x = \int_0^{10} \dots \mathrm{d}x + \int_{10}^{20} \dots \mathrm{d}x +\int_{20}^{35} \dots \mathrm{d}x + \int_{35}^{57.5} \dots \mathrm{d}x$. Feb 20, 2019 at 21:19

I'm not exactly sure about what you're asking, but I'll try to guide you through an explanation.

Position, velocity and acceleration are all functions of time. You can express it as $$x(t)$$, $$v(t)$$ and $$a(t)$$. You might also try to think about the relations between them. Velocity is the change in position over a time interval, and acceleration is the same but with velocity. If you know some calculus you could say:

$$v=dx/dt\quad$$ and $$\quad a=dv/dt$$

So if you know the acceleration of an object $$a(t)$$, you can find the velocity by integrating with respect to time:

$$v(t) = \int_{t_0}^t a(t) dt$$

And by doing so you get a function of time you can plot as in the image you privided.

Same with position:

$$x(t)= \int_{t_0}^t v(t) dt$$