Question

In the context of kinetic energy (KE) and velocity (v), which graph would be a straight line?

a) KE versus V
b) KE versus v^2
c) KE^2 versus v
d) KE^2 versus v^2

Answer 1

The graph of kinetic energy (KE) versus the square of the velocity (v^2) would be a straight line because KE is directly proportional to v^2.

Step-by-step explanation:

The question asks which graph of kinetic energy (KE) and velocity (v) would be a straight line. The formula for kinetic energy is KE = ½ * m * v^2, where m represents mass and v velocity. As kinetic energy is directly proportional to the square of the velocity, the graph of KE versus v^2 (option b) would yield a straight line. If we graph KE (y-axis) versus v^2 (x-axis), since there is a linear relationship with KE being proportional to v^2, the line will be straight with a slope equal to ½ * m.