Question

beverly and carl are in a race. their graphs show the data. which best describes the race? even though for a majority of the race they accelerated at the same rate, carl won because his initial acceleration was greater than beverly’s. even though for a majority of the race they accelerated at the same rate, beverly won because her initial acceleration was greater than carl’s. beverly accelerated at a greater rate for the entire race. carl accelerated at a greater rate for the entire race.

Explanation:

Step1: Analyze the graph's slope

The slope of a velocity - time graph represents acceleration. For the initial part of the race (first 10 seconds approximately), Beverly's graph has a steeper slope than Carl's, indicating greater initial acceleration. For the majority of the race (after 10 seconds), the slopes of their graphs are approximately the same, meaning they have the same acceleration. At the end of the time - interval shown, Beverly's velocity is higher than Carl's.

Answer:

Even though for a majority of the race they accelerated at the same rate, Beverly won because her initial acceleration was greater than Carl's.