Question

nasa is testing identical miniature rockets using the same platform. the data collected from one launch are shown in the graph pictured below. which of these describes the relationship between the rockets speed and it’s kinetic energy?
graph: kinetic energy (joules) on y - axis (0 - 600), speed (meters per second) on x - axis (0 - 200). the graph is a curve starting at (0,0), curving upwards, passing through (80,100), (120,200), etc. options: linear relationship, nonlinear relationship, constant relationship, no relationship (horizontal line)

Explanation:

The graph of kinetic energy vs. speed is a curve (not a straight line). Kinetic energy formula is \( KE=\frac{1}{2}mv^{2} \), which is a quadratic (non - linear) relationship with speed (\( v \)). A linear relationship would be a straight line, a constant relationship would be a horizontal line, and “no relationship” would also be a horizontal line. So the relationship is nonlinear.

Answer:

B. Nonlinear relationship