Name: Alyssa Hernandez Date:
Student Exploration: Distance-Time and Velocity-Time Graphs
[NOTE TO TEACHERS AND STUDENTS: This lesson was designed as a follow-up
to the Distance-Time Graphs Gizmo™. We recommend you complete that activity
before this one.]
Vocabulary: displacement, distance traveled, slope, speed, velocity
Prior Knowledge Questions (Do these BEFORE using the
Gizmo.) Dora runs one lap around the track, finishing where she
started. Clarkruns a 100-meter dash along the straight side of the
track.
1. Which runner traveled a greater distance? Dora traveled a
greaterdistance.
2. Which runner had a greater change in position, start to finish?
Clark had a greater change in position start to finish.
Gizmo Warm-up
The Distance-Time Graphs Gizmo shows a dynamic graph of the position of a runner
over time.The Distance-Time and Velocity-Time Graphs Gizmo includes that same
graph and adds two new ones: a velocity vs. time graph and a distance traveled vs. time
graph.
, The graph shown below (and in the Gizmo) shows a runner’s position (or distance
from thestarting line) over time. This is most commonly called a position-time
graph.
Check that the Number of Points is 2. Turn on Show graph
and Show animation for both Runner 1 and Runner 2.
1. Drag the points to create the graph shown to the right.
• Runner 1’s line (the red one) should
haveendpoints at (0, 0) and (4, 40).
• Runner 2’s line (the blue one) should
haveendpoints at (0, 40) and (4, 20).
2. Click the green Start button on the stopwatch. Watch the two runners carefully. In
what twoways are the runners’ motions different? Runner 1 starts at 0 and runner
2 starts at 40. Runner 1 travels a greater distance (40 meters) than runner 2. (20
meters)
Student Exploration: Distance-Time and Velocity-Time Graphs
[NOTE TO TEACHERS AND STUDENTS: This lesson was designed as a follow-up
to the Distance-Time Graphs Gizmo™. We recommend you complete that activity
before this one.]
Vocabulary: displacement, distance traveled, slope, speed, velocity
Prior Knowledge Questions (Do these BEFORE using the
Gizmo.) Dora runs one lap around the track, finishing where she
started. Clarkruns a 100-meter dash along the straight side of the
track.
1. Which runner traveled a greater distance? Dora traveled a
greaterdistance.
2. Which runner had a greater change in position, start to finish?
Clark had a greater change in position start to finish.
Gizmo Warm-up
The Distance-Time Graphs Gizmo shows a dynamic graph of the position of a runner
over time.The Distance-Time and Velocity-Time Graphs Gizmo includes that same
graph and adds two new ones: a velocity vs. time graph and a distance traveled vs. time
graph.
, The graph shown below (and in the Gizmo) shows a runner’s position (or distance
from thestarting line) over time. This is most commonly called a position-time
graph.
Check that the Number of Points is 2. Turn on Show graph
and Show animation for both Runner 1 and Runner 2.
1. Drag the points to create the graph shown to the right.
• Runner 1’s line (the red one) should
haveendpoints at (0, 0) and (4, 40).
• Runner 2’s line (the blue one) should
haveendpoints at (0, 40) and (4, 20).
2. Click the green Start button on the stopwatch. Watch the two runners carefully. In
what twoways are the runners’ motions different? Runner 1 starts at 0 and runner
2 starts at 40. Runner 1 travels a greater distance (40 meters) than runner 2. (20
meters)
