Position-time graph kinematics

In summary, a position-time graph is a graphical representation of an object's position as it changes over time. A steeper slope on the graph indicates a higher velocity, while a flat line indicates that the object is not moving. The area under the curve represents the total displacement of the object. The acceleration of the object can be determined by finding the slope of the velocity-time graph, which can be obtained from the position-time graph. A constant slope represents a constant acceleration, while a changing slope represents a changing acceleration. A position-time graph can also be used to predict future motion by extending the line of best fit, but this is only accurate if the object maintains a constant velocity or acceleration.
  • #1
Hannahj1
18
2

Homework Statement


Calculate the average velocity after 11 s.

Homework Equations


v=d/t

The Attempt at a Solution


I need to find the total displacement to find average velocity. I assumed the displacement was -4 as the graph goes up then back down to 0 then -4 so total is just -4. Is that a correct? Thank you!
 

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  • #2
Yes, based on your graph, the magnitude of the displacement during the 11 sec is ##-4\text{m},## so you can calculate its average velocity and don't forget its direction.
 

Related to Position-time graph kinematics

1. What is a position-time graph?

A position-time graph is a graphical representation of an object's position as it changes over time. The position is typically plotted on the y-axis, while time is plotted on the x-axis.

2. How do you interpret a position-time graph?

The slope of a position-time graph represents the object's velocity, with a steeper slope indicating a higher velocity. The area under the curve represents the total displacement of the object.

3. What does a flat line on a position-time graph indicate?

A flat line on a position-time graph indicates that the object is not moving, as its position is not changing over time.

4. How can you determine the acceleration of an object from a position-time graph?

The acceleration of an object can be determined by finding the slope of the velocity-time graph, which can be obtained by finding the slope of the position-time graph. A constant slope represents a constant acceleration, while a changing slope represents a changing acceleration.

5. Can a position-time graph be used to predict future motion?

Yes, a position-time graph can be used to predict future motion by extending the line of best fit on the graph. However, this prediction is only accurate if the object maintains a constant velocity or acceleration.

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