# 1) At which lettered point or points is the object moving the fastest? 2) At which lettered point or points is the object moving to the left (in the negative x-direction)? 3) At which lettered point or points is the object speeding up? 4) At which lettered point or points is the object slowing down? 5) At which lettered point or points is the object turning around?

###### Question:

2) At which lettered point or points is the object moving to the left (in the negative x-direction)?

3) At which lettered point or points is the object speeding up?

4) At which lettered point or points is the object slowing down?

5) At which lettered point or points is the object turning around?

## Answers

Here we have a time-position graph with some points marked on it, and we want to analyze some points in it.1) The object is moving the fastest in the point where the slope of the curve is the largest.In this case, the point is D.2) Remember that the graph evolves to the right, so, if at any point, the right side is above the left side, then at that particular point the object is moving to the left (negative x-axis)In this case, the points are:C, D, and E.3) The object speeds up when the curvature of the curve changes and the slope increases, for example, from B onwards, the speed increases.Then at point C the speed is increasing.4) Opposite to what we said before, if the slope decreases then the object is slowing down.In this case we can see that the slope decreases after A and after E.5) When the object is turning around?This is easy, we can see that the object goes to the right (positive x-axis) until it reaches B and then goes back, then at point B the object turns around.If you want to learn more, you can read:https://brainly.com/question/11290689