Kinetic Energy v. Time Graph for Freefall

[Asleky]

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.

 

[Let'sthink]

Just think of the relationship of v with t for free fall.

 

[haruspex]

exponentially

Do you mean exponentially? You are right that it is not linear.

 

[Asleky]

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.

 

[haruspex]

Yeah, velocity increases. Then it is squared in the formula for kinetic energy.

Right, so what adjective will describe the curve?