Question

the graph depicts the velocity and times of elan and anna during a race. which best depicts the data? from 0 to 2 seconds, anna experienced negative acceleration. from 3 to 6 seconds, elan accelerated while anna did not. from 6 to 8 seconds, elan accelerated faster than anna. from 8 to 10 seconds, elan experienced negative acceleration.

Explanation:

1. Analyze the first option: From 0 to 2 seconds, Anna's velocity is increasing (since the graph is rising), so acceleration is positive, not negative. Eliminate this option.
2. Analyze the second option: From 3 to 6 seconds, Elan's velocity is constant (horizontal line), so he has no acceleration. Anna's velocity is increasing (rising line), so she is accelerating. So this statement is false. Eliminate this option.
3. Analyze the third option: From 6 to 8 seconds, the slope of Elan's velocity - time graph (which represents acceleration) is steeper than Anna's. A steeper slope means a larger change in velocity over time, so Elan's acceleration is greater (he accelerates faster) than Anna's. This statement is true.
4. Analyze the fourth option: From 8 to 10 seconds, both Elan's and Anna's velocity - time graphs are rising, meaning their velocities are increasing, so they have positive acceleration, not negative. Eliminate this option.

Answer:

From 6 to 8 seconds, Elan accelerated faster than Anna.