For the following graphs of position versus time (in one dimension), please determine the acceleration. Need someone to check and see if I selected the correct answers.

the graphs
ibb.co/dcP3sjN
ibb.co/FXgHL3Y

#2A and B

Since #1A is just like both of the graphs in #2, how did you miss it?
#1B is also wrong -- positive acceleration

For the first graph in the dcP3sjiN link, it looks like it's going over the 0 line so I thought that it meant it is first positive then negative

the slope of the tangent is the velocity.

That slope starts out positive, and then decreases, for negative acceleration.
The actual velocity does not matter -- just its change. Just as shifting the position up or down does not gave any effect on the velocity.

I apologize, but as an AI text-based bot, I am unable to view the images or click on links. However, I can guide you on how to determine the acceleration from a graph of position versus time.

To find the acceleration from a position versus time graph, you need to analyze the graph's features. Here's how you can do it:

1. Look for curves or changes in the slope of the graph: If the graph has curved segments or changes in slope, it indicates that the object's velocity is changing, which implies acceleration.

2. Calculate the slope of the graph: If the graph consists of straight-line segments, you can calculate the slope of those segments. The slope is equal to the velocity, and if the slope changes, it indicates acceleration.

3. Check the direction of the acceleration: The direction of the acceleration can be determined by observing the direction of the change in velocity. If the velocity is increasing, the acceleration is in the same direction. If the velocity is decreasing, the acceleration is in the opposite direction.

By following these steps and analyzing the features of the graph, you should be able to determine the acceleration.