(d) The motion diagram in Figure 1 is a composite diagram constructed from a video analysis of the movie .The figure shows the position of the falling ball at equally spaced time intervals of 1/15th of a second (with 2-1 = B-2 = 4-B and so on). Explain why the relative lengths of the displacement vector components should also be proportional to the lengths of the corresponding velocity vector components that represent the average velocity during each time interval.

Elements Of Electromagnetics
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**Projectile Motion Vectors**

There are multiple ways to represent an object's motion. If the motion is two-dimensional and lies in a plane, some representations include:

1. Recording x and y coordinates of the object at different times in a data table.
2. Displaying the object's x and y locations at regular time intervals on a diagram.
3. Drawing vectors (arrows) showing displacement, velocity, and acceleration and their x and y components at different times.
4. Using vector equations to represent velocity and acceleration vectors quantitatively.

The image on the right (Figure 1) is a motion diagram showing a ball’s location every 1/15th of a second as it rolls horizontally and then falls vertically for about 1 meter. The diagram visually represents the path and intervals of the ball’s motion.

*Galileo Galilei, Dialogues Concerning Two New Sciences (Reprinted by Dover Publications)*
Transcribed Image Text:**Projectile Motion Vectors** There are multiple ways to represent an object's motion. If the motion is two-dimensional and lies in a plane, some representations include: 1. Recording x and y coordinates of the object at different times in a data table. 2. Displaying the object's x and y locations at regular time intervals on a diagram. 3. Drawing vectors (arrows) showing displacement, velocity, and acceleration and their x and y components at different times. 4. Using vector equations to represent velocity and acceleration vectors quantitatively. The image on the right (Figure 1) is a motion diagram showing a ball’s location every 1/15th of a second as it rolls horizontally and then falls vertically for about 1 meter. The diagram visually represents the path and intervals of the ball’s motion. *Galileo Galilei, Dialogues Concerning Two New Sciences (Reprinted by Dover Publications)*
**Transcription for Educational Website:**

**Motion Diagram Analysis**

(d) The motion diagram in Figure 1 is a composite diagram constructed from a video analysis of the movie <Lab-2 Galileo Projectile 2.mov>. The figure shows the position of the falling ball at equally spaced time intervals of 1/15th of a second (with t₂–t₁ = t₃–t₂ = t₄–t₃ and so on).

**Explain why the relative lengths of the displacement vector components should also be proportional to the lengths of the corresponding velocity vector components that represent the average velocity during each time interval.**

*Note: The image or diagram referenced as Figure 1 is not provided here, but it is supposed to show the positions and vectors indicating the motion of a falling ball at specific intervals.*
Transcribed Image Text:**Transcription for Educational Website:** **Motion Diagram Analysis** (d) The motion diagram in Figure 1 is a composite diagram constructed from a video analysis of the movie <Lab-2 Galileo Projectile 2.mov>. The figure shows the position of the falling ball at equally spaced time intervals of 1/15th of a second (with t₂–t₁ = t₃–t₂ = t₄–t₃ and so on). **Explain why the relative lengths of the displacement vector components should also be proportional to the lengths of the corresponding velocity vector components that represent the average velocity during each time interval.** *Note: The image or diagram referenced as Figure 1 is not provided here, but it is supposed to show the positions and vectors indicating the motion of a falling ball at specific intervals.*
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