Kinetic Energy v. Time Graph for Freefall

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SUMMARY

The discussion centers on the graphing of kinetic energy over time for a rock in freefall, utilizing the equation for kinetic energy, KE = 1/2mv². Participants confirm that the graph is not linear due to the quadratic relationship between velocity and time, as velocity increases exponentially during freefall. The consensus is that the kinetic energy graph will exhibit an exponential curve rather than a linear one, reflecting the squared velocity in the kinetic energy formula.

PREREQUISITES
  • Understanding of basic physics concepts, specifically freefall motion.
  • Familiarity with the kinetic energy formula, KE = 1/2mv².
  • Knowledge of graphing techniques for mathematical functions.
  • Basic comprehension of velocity and its relationship with time in freefall.
NEXT STEPS
  • Study the principles of freefall motion and its equations of motion.
  • Explore graphing techniques for quadratic functions.
  • Learn about the relationship between velocity, acceleration, and time in physics.
  • Investigate the implications of kinetic energy in different physical scenarios.
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of motion and energy transformations in freefall scenarios.

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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