Are my graphs and answers correct for position, velocity, and acceleration?

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SUMMARY

The discussion focuses on the accuracy of graphs representing position, velocity, and acceleration of a ball in motion. The user provided specific scenarios where the ball rolls in different directions, detailing the expected values for position, velocity, and acceleration. Key points include the need for continuous graphs for position and velocity, and the user seeks confirmation on the correctness of their graphical representations. The discussion emphasizes the importance of understanding the relationships between these three concepts in physics.

PREREQUISITES
  • Understanding of kinematics in physics
  • Familiarity with graphing techniques
  • Knowledge of the relationships between position, velocity, and acceleration
  • Experience with interpreting motion graphs
NEXT STEPS
  • Research how to create continuous graphs for position and velocity
  • Learn about the graphical representation of acceleration in motion
  • Explore kinematic equations and their applications in graphing
  • Study examples of motion graphs in physics textbooks or online resources
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Students studying physics, educators teaching kinematics, and anyone interested in understanding motion graphs and their implications in real-world scenarios.

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I posted a picture that translates the bottom information into a graph
I wanted to know if my answers below are correct and my graphs are correct...
Thank you.
First Graph:Position
second Graph : Velocity
third graph: Accelertaion

Position Velocity Acceleration

1. Ball rolls to the left of A + - 0
2. Ball rolls to the left down B + - -
3. Ball rolls to the left up C - - +
4. Ball reaches its maximum - 0 ?
height at c
5.Ball rolls to the right up C - + +
6. Ball rolls to the right up B + + -
7. Ball rolls to the right across A + + -
 

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