Question

speed (m/s) kinetic energy (j) 1 0.5 2 2 4 8 warm up quiz 10/6/26 students determined the kinetic energy of a 1 - kilogram ball moving at three speeds. the data are shown in the table. based on the data, what can be concluded about the kinetic energy of the ball? a. it is equal to its speed. b. it increases as its speed increases. c. it does not depend on its mass or its speed. d. it depends on its mass but not on its speed.

Explanation:

Step1: Analyze the data trend

When speed changes from 1 m/s to 2 m/s, kinetic - energy changes from 0.5 J to 2 J. As the speed increases, the kinetic energy increases.

Step2: Evaluate each option

Option A: When speed is 1 m/s, kinetic energy is 0.5 J, so kinetic energy is not equal to its speed. Option C: Kinetic energy formula is $K = \frac{1}{2}mv^{2}$, it depends on mass and speed. Option D: It depends on both mass and speed. Option B is consistent with the data trend.

Answer:

B. It increases as its speed increases.