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Hi everyone. I just have a very quick question regarding position time graphs and velocity time graphs for a pendulum.

As we know, at the maximum displacement, the acceleration is at its maximum and the velocity is zero, and vice versa when the displacement is zero.

When we put this information on a velocity time graph, it looks like this:

When we have curved lines on a velocity time graph, as seen above, this means that there is increasing and decreasing acceleration, correct? Specifically, that means that the value of the acceleration itself is decreasing or increasing (for example, 10 m/s^2, 8 m/s^2, 5 m/s^2).

This information put onto a position time graph looks something like this:

As we can see, there is once again curved lines. However, on a position or displacement time graph, these curved lines don't mean

So how can the displacement time graph use curved lines? It implies that the acceleration is a constant number that doesn't change, which is obviously not true as we see that the acceleration is

I hope my question makes sense, thank you all for your patience.

As we know, at the maximum displacement, the acceleration is at its maximum and the velocity is zero, and vice versa when the displacement is zero.

When we put this information on a velocity time graph, it looks like this:

When we have curved lines on a velocity time graph, as seen above, this means that there is increasing and decreasing acceleration, correct? Specifically, that means that the value of the acceleration itself is decreasing or increasing (for example, 10 m/s^2, 8 m/s^2, 5 m/s^2).

This information put onto a position time graph looks something like this:

As we can see, there is once again curved lines. However, on a position or displacement time graph, these curved lines don't mean

**increasing acceleration or decreasing acceleration**like they do for the velocity time graph, but instead they mean**constant acceleration**or**constant deceleration.**

So how can the displacement time graph use curved lines? It implies that the acceleration is a constant number that doesn't change, which is obviously not true as we see that the acceleration is

**zero**at**0 displacement**and the acceleration is at it's**maximum value**at the**largest displacement**, so obviously there must be a change, not constant.I hope my question makes sense, thank you all for your patience.