Velocity vs. Time Graphical Interpretation

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SUMMARY

The discussion focuses on analyzing a velocity vs. time graph to determine velocity, displacement, and acceleration over specified time intervals. Key equations used include v = d/t for velocity and a = Δv/Δt for acceleration. Participants emphasize the importance of graphical methods to calculate displacement by identifying areas under the curve, specifically noting the presence of triangles and rectangles in the graph. The conversation highlights the need for clarity in interpreting variable velocities and slopes for accurate calculations.

PREREQUISITES
  • Understanding of basic kinematic equations (v = d/t, a = Δv/Δt)
  • Familiarity with graphical interpretation of motion
  • Knowledge of calculating areas under curves for displacement
  • Ability to identify shapes (triangles and rectangles) in a graph
NEXT STEPS
  • Study graphical methods for calculating displacement in physics
  • Learn how to derive acceleration from velocity-time graphs
  • Practice problems involving variable velocity and acceleration
  • Explore advanced kinematics concepts, including integration for displacement
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and graphical analysis of motion, as well as educators looking for effective teaching methods in these topics.

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Homework Statement


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1) Time = 0 to 2.5s
a. What is the velocity during this time?
b. Determine the displacement traveled during this time.
c. What is the acceleration during this time?

2) Time = 5.5 to 10s
a. What is the velocity during this time?
b. Determine the displacement traveled during this time.
c. What is the acceleration during this time?

3) Find the total displacement traveled during the five different phases of motion. (Use Graphical Methods)
- I shaded the regions with a pencil for the displacement that is needed. There are supposed to be 4 triangles and one rectangle.

Homework Equations


I think:
v=d/t
a=vt
Under General: https://www.physicsforums.com/showpost.php?p=905663&postcount=2

The Attempt at a Solution


I finished all of the other questions, but the ones I listed above are the only ones I need which I find confusing and don't have any idea on how to start it off. Please help me on any of the answers to any question that you know. Help is appreciated. Thanks.
 
Last edited:
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Graphically, the velocity you can pick off the graph (it is variable during the accelerating phases); the acceleration , since a =delta v/delta t, you should be able to identify using slopes; and displacement, as you noted, is the shaded area during the given time periods, paying attention to positive and negative areas.
 

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