Question

Why is the graph of kinetic energy curved

Answer 1

A graph comes out to be a straight line when "if you vary the X-axis value by some amount then the Y-axis value also gets changed that many times only"

eg. If you double the X-axis value, the value on Y-axis also gets doubled.

Now, $KE=(1/2)mv^{2}$

so, if you double the velocity(on X-axis) the Energy(on Y-axis) gets Quadrupled(4 times). So, it doesn't follow the rule of a straight line graph, hence Curved.

Answer 2

Answer:

graph comes out to be a straight line when "if you vary the X-axis value by some amount then the Y-axis value also gets changed that many times only"

eg. If you double the X-axis value, the value on Y-axis also gets doubled.

Now, KE=(1/2)mv^{2}KE=(1/2)mv

2

so, if you double the velocity(on X-axis) the Energy(on Y-axis) gets Quadrupled(4 times). So, it doesn't follow the rule of a straight line graph, hence Curved.