EOM: Distance-Time Graphs

How far did Mason travel on his bicycle from 9:00 to 12:00?

• 40 km

• 120 km

• 0 km

• 60 km

Answer explanation

Mason traveled for 3 hours from 9:00 to 12:00. If he rode at a speed of 13.33 km/h, he would cover 40 km in that time (3 hours x 13.33 km/h = 40 km). Thus, the correct answer is 40 km.

Ava went for a walk with her grandparents. How many seconds did Ava stop to pick flowers on their walk?

• 20 sec

• 15 sec

• 10 sec

• 60 sec

Answer explanation

Ava stopped to pick flowers for 20 seconds during her walk with her grandparents. This is the correct choice as it directly answers the question about the duration of her stop.

Evelyn, Ava, and Harper are running a race, and their speeds are graphed. Which of the following answer choices correctly labels Evelyn’s path?

• Getting faster

• Fast, constant speed

• Constant speed, at rest, return to start

• No motion

Answer explanation

Evelyn's path is labeled 'Getting faster' because her speed is increasing over time, indicating acceleration. This choice accurately reflects her performance in the race.

Mason, Elijah, and Benjamin ran a 200-meter dash, and data was collected. Which runner’s race includes a portion that was of constant speed?

• A. Mason

• B. Elijah

• C. Benjamin

• D. Mason and Elijah

Answer explanation

Elijah's race included a segment where he maintained a constant speed, indicating he ran at a steady pace for part of the distance. This distinguishes his performance from Mason and Benjamin, who likely varied their speeds.

Liam is observing a rocket that travels 450 km in 60 seconds. Which distance-time graph below correctly shows the motion of the rocket?

• A. [Graph: Distance vs Time, 0-450 km, 0-60 s]

• B. [Graph: Distance vs Time, 0-100 km, 0-60 s]

• C. [Graph: Time vs Distance, 0-60 s, 0-100 km]

• D. [Graph: Time vs Distance, 0-60 s, 0-400 km]

Answer explanation

The rocket travels 450 km in 60 seconds, so the correct graph must show a distance of 450 km on the y-axis and time of 60 seconds on the x-axis. Choice A accurately represents this motion.

Jackson and Sophia are racing toy cars on a track. Which two of the following line segments show the greatest speeds of their cars?

• Line segment A

• Line segment C

• Line segment D

• Line segment F

Answer explanation

Line segment A and line segment C represent the fastest speeds of Jackson and Sophia's toy cars, as they cover the greatest distance in the shortest time compared to the other segments.

Grace is observing the motion of a toy car on a track. The graph provided here shows the motion of the toy car. At which parts of the graph is the toy car at rest?

• At the points where the graph is horizontal

• At the points where the graph is steepest

• At the points where the graph is vertical

• At the points where the graph is increasing

Answer explanation

The toy car is at rest when the graph is horizontal, indicating no change in position over time. This means the car is not moving during these intervals.

Emma is on a walk, and a distance-time graph is provided for the following questions. Part A: Which answer correctly identifies the period of time Emma is at rest during her walk?

• Line segment DE is five minutes long and shows a distance of zero.

• Line segment DE is ten minutes long and shows a distance of zero.

• Line segment CD is five minutes long and shows a distance of zero.

• Line segment CE is ten minutes long and shows a distance of zero.

Answer explanation

Line segment DE is the correct choice as it is five minutes long and shows a distance of zero, indicating Emma is at rest during this time.

Nora is observing a distance-time graph during her walk. Part B: Which statement best explains the answer to Part A?

• A. A vertical line shows that time is passing but no distance is traveled.

• B. A vertical line shows that distance is increasing but no time is passing.

• C. A horizontal line shows that distance is increasing but no time is passing.

• D. A horizontal line shows that time is passing but no distance is traveled.

Answer explanation

Choice D is correct because a horizontal line on a distance-time graph indicates that while time continues to pass, the distance remains constant, meaning no movement occurs.

Lily is running a race and her progress is shown on the distance-time graph. What is the distance she traveled in the first 60 seconds?

Answer explanation

Lily's distance at 60 seconds is 0 meters, indicating she hasn't started running yet. The graph shows no progress in the first minute, confirming the correct answer is 0 meters.