Displacement with a velocity time graph that is a parabola

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SUMMARY

The discussion focuses on calculating displacement from a velocity-time graph shaped like a parabola. The key equation utilized is the relationship that displacement equals the integral of velocity with respect to time over a specified interval. Participants emphasize the importance of finding the area under the parabolic curve to determine displacement accurately. The integral calculus method is confirmed as the correct approach for this scenario.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with velocity-time graphs
  • Knowledge of parabolic equations
  • Basic principles of kinematics
NEXT STEPS
  • Study the process of calculating definite integrals for parabolic functions
  • Learn how to apply the Fundamental Theorem of Calculus
  • Explore examples of displacement calculations from various shaped graphs
  • Review kinematic equations and their graphical representations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and calculus, as well as educators seeking to explain the relationship between velocity and displacement through graphical methods.

einstein101
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Homework Statement



How would you find the displacement of a velocity/time graph when it is in the shape of a parabola?

Homework Equations



I know Velocity x time = displacement.

The Attempt at a Solution


I know that velocity x time = displacement, but how do you find the area under the graph when it is parabolic?
 
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The displacement is the integral of the velocity with respect time in the given time interval. What is the original text of the problem?

ehild
 

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