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Instructions.

Follow the steps below to explore how displacement changes with time.
  1. Drag the time slider in the top panel from \(0\) seconds to \(6\) seconds. Observe how the point moves along the displacement–time graph.
  2. Watch the arrow and moving dot on the vertical scale. They show the value of the displacement at the selected time.
  3. Move the slider slowly and notice the shape of the curve. Observe how the displacement first increases and later decreases.
Use the interactive to investigate the following questions:
  1. As time increases from \(0\) seconds, what happens to the displacement? Is the object moving away from or toward its starting position?
  2. Find the point where the displacement reaches its maximum value. At approximately what time does this occur?
  3. After the maximum point, what happens to the displacement as time continues? What does this suggest about the direction of motion?
  4. Compare the steepness of the curve at different times. When is the graph steepest? What might this indicate about how fast the object is moving?
  5. Move the slider back and forth several times. How does the displacement change throughout the entire motion?