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Time distance gizmo student worksheet

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Name: Date: Student Exploration: Distance-Time Graphs Vocabulary: speed, y-intercept Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Max ran 100 feet in 10 seconds. Mol... ly ran 60 feet in 5 seconds. 1. Who ran farther, Max or Molly? 2. Who ran faster? Explain: Gizmo Warm-up The Distance-Time Graphs GizmoTM shows a graph and a runner on a track. You can control the motion of the runner by manipulating the graph (drag the red dots). 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). 1. Click the green Start button on the stopwatch. What happens? 2. Click the red Reset button on the stopwatch. The vertical green probe 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 of the runner at 1 second? B. What are the coordinates of the point on the graph that tells you this? C. When was the runner on the 30-yard line? D. What are the coordinates of the point on the graph that tells you this? In the Gizmo, run the “race” many times with a variety of different graphs. (The red points on the graph can be dragged vertically.) Pay attention to what the graph tells you about the runner. 1. If a distance-time graph contains the point (4, 15), what does that tell you about the runner? (Be specific, and answer in a complete sentence.) 2. Look at the graph to the right. Notice where the green probe is. If you could see the runner and the stopwatch at this moment, what would you see? 3. Look at the image below, from the Gizmo. What must be true about this runner’s graph? 4. The point on the graph that lies on the y-axis (vertical axis) is called the y-intercept. What does the y-intercept tell you about the runner? 5. In the Gizmo, set the Number of Points to 3. Then create a graph of a runner who starts at the 20-yard line, runs to the 40- yard line, and finishes at the 30-yard line. A. Sketch your graph to the right. B. What is the y-intercept of your graph? Run the Gizmo several times with different types of graphs. (Remember, the red points on the graph can be dragged vertically.) Pay attention to the speed and direction of the runner. 1. Create a graph of a runner that is running forward (from left to right) 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? .....................................................................................CONTINUED........................................................................................ [Show More]

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