Analyzing x/t Graph - Accelerations & Inflections

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In summary, the graph shows that for x>0, x<0, and x=0, the velocity is positive, negative, and 0 respectively. The accelerations are positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection.
  • #1
dazedy
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Homework Statement


Given this graph:
[PLAIN]http://img683.imageshack.us/img683/2403/xvtt.jpg

where is x>0, x<0, x=0, v>0, v<0, v=0, a>0, a<0, a=0?



The Attempt at a Solution


I figured out everything up to the accelerations, it's just been a long time since I've had to do a problem such as this.
Is the acceleration positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection?
 
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  • #2
welcome to pf!

hi dazedy! welcome to pf! :smile:
dazedy said:
Is the acceleration positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection?

Yup! :biggrin:
 
  • #3
Thanks :)
It's been years since I've had to look at a graph like this...
 

1. What is an x/t graph?

An x/t graph, also known as a position versus time graph, is a visual representation of an object's position (x) at different points in time (t).

2. How is acceleration represented on an x/t graph?

Acceleration is represented by the slope of the line on an x/t graph. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.

3. What does an inflection point on an x/t graph represent?

An inflection point on an x/t graph represents a change in the object's acceleration. This can occur when the object changes direction or experiences a change in its velocity.

4. How can you determine the average acceleration from an x/t graph?

The average acceleration can be determined by calculating the change in velocity over the change in time. This can be done by finding the slope of the line connecting two points on the graph.

5. What are some real-world applications of analyzing x/t graphs?

Analyzing x/t graphs is important in many scientific fields, such as physics, engineering, and astronomy. It can be used to analyze the motion of objects, predict future positions, and understand the effects of forces on an object.

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