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 option 1: From 0 to 2 seconds, Anna's velocity is increasing (positive slope), so acceleration is positive, not negative. Eliminate this.
2. Analyze option 2: From 3 to 6 seconds, Elan's velocity is constant (flat line), so no acceleration; Anna's velocity is increasing (positive slope), so she is accelerating. Eliminate this.
3. Analyze option 3: From 6 to 8 seconds, compare the slopes (acceleration) of Elan and Anna. Elan's slope (change in velocity over time) is steeper than Anna's, meaning Elan accelerated faster. This is correct.
4. Analyze option 4: From 8 to 10 seconds, Elan's velocity is increasing (positive slope), so acceleration is positive, not negative. Eliminate this.

Answer:

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