Question

the mass of all bicycles and riders indicated in the graph are equal. what indicates the order of their average velocity from greatest to least? a a, d, b, c b d, b, c, a c c, a, d, b d b, c, a, d

Explanation:

Step1: Recall kinetic - energy formula

The kinetic energy formula is $K = \frac{1}{2}mv^{2}$, where $K$ is kinetic energy, $m$ is mass and $v$ is velocity. Given that $m$ is the same for all, the greater the kinetic energy, the greater the velocity.

Step2: Analyze the graph

We need to find the average kinetic energy over the time - interval from $t = 0$ to $t=10$ minutes. We can estimate the area under the curves (or just compare the overall height of the curves) to get an idea of the average kinetic energy.

Step3: Compare kinetic energies

By observing the graph, we can see that the average height of the curve for A is the highest, followed by D, then B, and then C. Since $K=\frac{1}{2}mv^{2}$ and $m$ is constant, the order of average velocities (which is related to the square - root of the kinetic energy) from greatest to least is the same as the order of average kinetic energies.

Answer:

A. A, D, B, C