beverly and carl are in a race. their graphs show the data. which best describes the race? even though for a…

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 beverlys. even though for a majority of the race they accelerated at the same rate, beverly won because her initial acceleration was greater than carls. beverly accelerated at a greater rate for the entire race. carl accelerated at a greater rate for the entire race. velocity (m/s) 40 35 30 25 20 15 10 5 0 beverly carl 0 10 20 30 40 50 60 time (sec)

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 beverlys. even though for a majority of the race they accelerated at the same rate, beverly won because her initial acceleration was greater than carls. beverly accelerated at a greater rate for the entire race. carl accelerated at a greater rate for the entire race. velocity (m/s) 40 35 30 25 20 15 10 5 0 beverly carl 0 10 20 30 40 50 60 time (sec)

Answer

Explanation:

Step1: Recall acceleration concept

Acceleration is the rate of change of velocity. On a velocity - time graph, the slope of the line represents acceleration.

Step2: Analyze the initial part of the graph

At the start (around (t = 0)), Carl's velocity - time graph has a steeper slope than Beverly's, which means Carl's initial acceleration is greater.

Step3: Analyze the majority of the race

For most of the time interval shown ((t> 10) seconds), the slope of Beverly's graph is steeper than Carl's, meaning Beverly has a greater acceleration for the majority of the race. And Beverly's final velocity is higher than Carl's at (t = 60) seconds, so Beverly wins.

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.