Kinetic Energy v. Time Graph for Freefall

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Homework Help Overview

The discussion revolves around graphing the kinetic energy of a rock dropped from a bridge over time, focusing on the relationship between kinetic energy and time during free fall.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between velocity and time in free fall, questioning whether the kinetic energy graph should be linear or exponential based on the formula 1/2mv^2.

Discussion Status

There is an ongoing exploration of the nature of the graph, with some participants affirming that the graph is not linear and discussing the implications of velocity increasing over time.

Contextual Notes

Participants are considering the implications of the squared term in the kinetic energy formula and how it affects the shape of the graph, while also referencing the context of a summative test question.

Asleky
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Homework Statement



Pretty simple question, just checking for confirmation. It was a small question at the beginning of a summative test, a rock was dropped off of a bridge and we were asked to graph the kinetic energy over time.

Homework Equations



1/2mv^2.

The Attempt at a Solution


I started from 0 and went upwards (exponentially). Two friends were telling me I was wrong. :( Who was right? They say it's a linear line, but I disagreed because of the v^2. Thanks for any insight.
 
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Just think of the relationship of v with t for free fall.
 
Asleky said:
exponentially
Do you mean exponentially? You are right that it is not linear.
 
Let'sthink said:
Just think of the relationship of v with t for free fall.
Yeah, velocity increases. Then it is squared in the formula for kinetic energy.
 
Asleky said:
Yeah, velocity increases. Then it is squared in the formula for kinetic energy.
Right, so what adjective will describe the curve?
 
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