moke
Uploaded by
11 SLIDES
255 VUES
110LIKES

Understanding Position, Velocity, and Acceleration Graphs in Kinematics

DESCRIPTION

Explore the relationships between position, velocity, and acceleration graphs in kinematics. This guide discusses how to interpret motion diagrams and their corresponding position-versus-time and velocity-versus-time graphs. It highlights the importance of matching slopes between these graphs to understand movement. Key scenarios include a particle moving to the right and then to the left, as well as a ball rolling up and down a ramp. Discover how to accurately determine the correct graphs based on the described motion and identify the intercepts relevant to the coordinate system.

1 / 11

Télécharger la présentation

Understanding Position, Velocity, and Acceleration Graphs in Kinematics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1-d Kinematics

  2. Which position-versus-time graph represents the motion shown in the motion diagram?

  3. Which position-versus-time graph represents the motion shown in the motion diagram?

  4. Which velocity-versus-time graph goes with this position-versus-time graph on the left? Note that the variable “s” denotes a generic Cartesian coordinate. It could be x or y.

  5. Which velocity-versus-time graph goes with this position-versus-time graph on the left? The velocity graph must match the slope of the position graph. The position graph starts with a constant positive slope. Then the slope decreases to zero.

  6. Which position-versus-time graph goes with this velocity-versus-time graph on the left? The particle’s position at ti = 0 s is xi = –10 m .

  7. Which position-versus-time graph goes with this velocity-versus-time graph on the left? The particle’s position at ti = 0 s is xi = –10 m . The velocity graph must match the slope of the position graph. The intercept of the position graph is arbitrary.

  8. Which velocity-versus-time graph or graphs goes with this acceleration-versus-time graph? The particle is initially moving to the right and eventually to the left.

  9. Which velocity-versus-time graph or graphs goes with this acceleration-versus-time graph? The particle is initially moving to the right and eventually to the left. The slope of the velocity graph must match the acceleration graph. The intercept is based on the direction information.

  10. The ball rolls up the ramp, then back down. Which is the correct acceleration graph?

  11. The ball rolls up the ramp, then back down. Which is the correct acceleration graph? The ball will move up the ramp while slowing down, then it will reach a turnaround point and begin to move down the ramp with increasing speed. The velocity graph at right is consistent with that description. The acceleration graph shown in graph d is consistent with the requirement that it match the slope of the velocity graph.

More Related