The graph shows how the position of a particle depends on time. Which choice is closest to the average speed of the particle in the time interval between 0 and 6 s?
A) 0.40 m/s
B) 0.67 m/s
C) 0.75 m/s
D) 1.50 m/s
E) 2.22 m/s

Question

The graph shows how the position of a particle depends on time. Which choice is closest to the average speed of the particle in the time interval between 0 and 6 s?
A) 0.40 m/s 
B) 0.67 m/s 
C) 0.75 m/s 
D) 1.50 m/s 
E) 2.22 m/s

Quizplus · Accepted Answer

Average speed is equal to total distance traveled divided by the time interval taken. From the graph, we can see that the particle travels a total distance of 4 meters (from 2 meters to 6 meters) in a time interval of 6 seconds. Therefore, average speed = total distance / time interval = 4 m / 6 s = 0.67 m/s. Therefore, the closest choice to the average speed is B, which is 0.67 m/s.

The Graph Shows How the Position of a Particle Depends