Distance-Time Graphs Directions, Exams of Physics

Distance-Time Graphs. Directions: Log into explorelearning.com and complete the Distance-Time Graph Gizmo. Prior Knowledge Questions (Do these BEFORE using ...

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2021/2022

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Name: _____________________________
Distance-Time Graphs
Directions: Log into explorelearning.com and complete the Distance-Time Graph Gizmo.
Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
Max ran 100 feet in 10 seconds. Molly ran 60 feet in 5 seconds.
1. Who ran the longest ditance, Max or Molly? ________________
2. Who ran faster? ________________ Explain: ____________________________________
_________________________________________________________________________
Gizmo Warm-up
The Distance-Time Graphs Gizmo shows a graph and a runner on a
track. You can control the motion of the runner by dragging the red
dots up and down.
Check that Number of points is 2, and that under Runner 1 both
Show graph and Show animation are turned on.
The graph should look like the one shown to the right one point at
(0, 0) and the other point at (4, 40).
A. Click the green Start button on the stopwatch.
What happens? _______________________________
____________________________________________
Click the red Reset button on the stopwatch. The vertical green line
on the graph allows you to see a snapshot of the runner at any
point in time. Drag it back and forth. As you do, watch the runner
and the stopwatch.
A. What was the position (distance) of the runner at 1 second?
____________________________
B. What are the coordinates of the point on the graph that tells you this? (_____, _____)
C. At time was the runner on the 30-yard line? _________________________________
D. What are the coordinates of the point on the graph that tells you this? (_____, _____)
Runner Position
In the Gizmo, run the “race” many times with a variety of different graphs. You can do this by dragging
the red points on the graph vertically. Pay attention to what the graph tells you about the runner each
time you do this.
1. Drag the right most red dot on the graph so that the point is located at (4, 15) on the distance-time
graph. Start the race (green button on the stop watch).
a. Why did the runner stop at 15 yards?
________________________________________________________________________
2. Click the reset button on the stopwatch. Drag the right most red dot on the graph so that the point is
located at (4, 30) on the distance-time graph. Start the race (green button on the stop watch).
a. Why did the runner stop at 30 yards?
________________________________________________________________________
3. What happened to the red line when you changed the red dot from (4, 15) to (4, 30)?
________________________________________________________________________
4. Write a rule that describes what happens to a distance-time line when a runner moves faster.
________________________________________________________________________
________________________________________________________________________
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Name: _____________________________ Distance-Time Graphs Directions: Log into explorelearning.com and complete the Distance-Time Graph Gizmo. Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Max ran 100 feet in 10 seconds. Molly ran 60 feet in 5 seconds.

  1. Who ran the longest ditance, Max or Molly? ________________
  2. Who ran faster? ________________ Explain: ____________________________________

Gizmo Warm-up The Distance-Time Graphs Gizmo shows a graph and a runner on a track. You can control the motion of the runner by dragging the red dots up and down. Check that Number of points is 2, and that under Runner 1 both Show graph and Show animation are turned on. The graph should look like the one shown to the right – one point at (0, 0) and the other point at (4, 40). A. Click the green Start button on the stopwatch. What happens? _______________________________ ____________________________________________ Click the red Reset button on the stopwatch. The vertical green line on the graph allows you to see a snapshot of the runner at any point in time. Drag it back and forth. As you do, watch the runner and the stopwatch. A. What was the position (distance) of the runner at 1 second? ____________________________ B. What are the coordinates of the point on the graph that tells you this? (_____, _____) C. At time was the runner on the 30-yard line? _________________________________ D. What are the coordinates of the point on the graph that tells you this? (_____, _____) Runner Position In the Gizmo, run the “race” many times with a variety of different graphs. You can do this by dragging the red points on the graph vertically. Pay attention to what the graph tells you about the runner each time you do this.

  1. Drag the right most red dot on the graph so that the point is located at (4, 15) on the distance-time graph. Start the race (green button on the stop watch). a. Why did the runner stop at 15 yards? ________________________________________________________________________
  2. Click the reset button on the stopwatch. Drag the right most red dot on the graph so that the point is located at (4, 30) on the distance-time graph. Start the race (green button on the stop watch). a. Why did the runner stop at 30 yards? ________________________________________________________________________
  3. What happened to the red line when you changed the red dot from (4, 15) to (4, 30)?
  4. Write a rule that describes what happens to a distance-time line when a runner moves faster.

  1. Click the red reset button on the stopwatch. Drag the right most red dot on the graph so that the point is located at (4, 16) and the left most red dot on the graph to (0, 24) on the distance-time graph. It should resemble the graph to the right. a. Start the race (green button on the stop watch). b. Which direction is the runner running? _______________________________________ c. How can you tell from the line which direction the runner is moving? ________________________________________________ ________________________________________________
  2. Using what you learned from problems 4 and 5, look at the image below. What must be true about this runner’s graph? _________________________________________________________________________ _________________________________________________________________________
  3. In the Gizmo, set the Number of points to 3. Then create a graph of a runner who starts at the 0-yard line, runs two seconds to the 40- yard line, and then finishes at the 30-yard line. a. You can move the dots by clicking and dragging each dot to the specific location. b. Sketch your graph to the right. c. What was the total distance the runner ran? __________ d. How long did it take the runner to run this distance? __________ Finding the direction and speed
  4. Using two points only, create a graph of a runner that is running forward ( from left to right ) at a constant speed in the Gizmo. Sketch your graph to the right. If the runner is moving from left to right in the Gizmo, how does the graph always look?

  1. Speed is a measure of how fast something is moving. To calculate speed, divide the distance by the time. In the Gizmo, the units of speed are yards per second (y/s). a. In the first 2 seconds, how far did the runner go? ____________________________ b. In this time interval, how far did the runner go each second? ___________________ c. In this time interval, what was the runner’s speed? ___________________________
  2. Now look at the last two seconds represented on the graph. a. In the last 2 seconds, how far did the runner go? ____________________________ b. In this time interval, how far did the runner go each second? ___________________ c. In this time interval, what was the runner’s speed? ___________________________ Challenge: Use the Gizmo to model and solve the following word problems. Write the solutions in the spaces below. Sketch the graph you made to solve the question in the space to the right of each question. Note:  In the scenarios below you will need to create two lines on the same graph by selecting Show Graph and Show Animation for Runner 2.  You will only need two points for each line.
  3. A dog is chasing a cat. a. The cat starts 10-yard ahead of the dog and runs at a speed of 6 yards per second for 4 seconds. b. The dog runs at a speed of 8 yards per second for 4 seconds. c. Does the dog ever catch the cat? _______________ d. Create a graph of this scenario.
  4. A tortoise challenges a hare to a forty-yard dash. The hare is so confident of winning that he allows the tortoise to start with a 20 - yard lead. a. The hare runs at a speed of 10 yards per second for 4 seconds. b. The tortoise plods along at 5 yards per second for 4 seconds. c. Does the hare ever catch the tortoise? _______________ d. Create a graph of this scenario.