Displacement with a velocity time graph that is a parabola

AI Thread Summary
To find the displacement from a parabolic velocity/time graph, one must calculate the area under the curve, which represents the integral of velocity over time. The formula for displacement is derived from the relationship that displacement equals velocity multiplied by time. For a parabolic shape, this involves using integration techniques to determine the area accurately. Understanding the limits of integration for the specific time interval is crucial for obtaining the correct displacement value. The discussion emphasizes the importance of integrating the velocity function to find the displacement in such cases.
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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