Let's analyze the problem: - Two waves are approaching each other at 1 m/s. - The graphs show the string at 1 s intervals from \( t = 1 \) s to \( t = 6 \) s. - You need to match the correct snapshots in order of time. ### Step-by-step solution #### **Initial positions (from Figure 1, not shown here):** - There are two waves: one centered at \( x = 3 \) m (moving right), one at \( x = 7 \) m (moving left). #### **Positions at Each Second:** - Each wave moves 1 m per second. **So at:** - \( t = 1 \) s: Peaks at \( x = 4 \) and \( x = 6 \) - \( t = 2 \) s: Peaks at \( x = 5 \) (overlap) - \( t = 3 \) s: Passed through, now at \( x = 6 \) and \( x = 4 \) (reverse directions) - \( t = 4 \) s: Peaks at \( x = 7 \) and \( x = 3 \) - \( t = 5 \) s: Peaks at \( x = 8 \) and \( x = 2 \) - \( t = 6 \) s: Peaks at \( x = 9 \) and \( x = 1 \) #### **Matching to Graphs:** Let’s match each time to the provided graphs: 1. **\( t = 1 \) s**: Two peaks at \( x = 4 \) and \( x = 6 \) → Select the graph with **two peaks at 4 and 6**. 2. **\( t = 2 \) s**: Single peak at \( x = 5 \) (constructive interference) → Select the graph with **single peak at 5**. 3. **\( t = 3 \) s**: Two peaks at \( x = 4 \) and \( x = 6 \) (swapped sides) → Select the graph **identical to \( t = 1 \) s**. 4. **\( t = 4 \) s**: Peaks at \( x = 3 \) and \( x = 7 \) → Select the graph with **peaks at 3 and 7**. 5. **\( t = 5 \) s**: Peaks at \( x = 2 \) and \( x = 8 \) → Select the graph with **peaks at 2 and 8**. 6. **\( t = 6 \) s**: Peaks at \( x = 1 \) and \( x = 9 \) → Select the graph with **peaks at 1 and 9**. --- ### **Visual Guide to the Solution** Look for graphs with the following peak positions: - **t = 1 s:** Peaks at 4 and 6 - **t = 2 s:** Peak at 5 - **t = 3 s:** Peaks at 4 and 6 (reverse order) - **t = 4 s:** Peaks at 3 and 7 - **t = 5 s:** Peaks at 2 and 8 - **t = 6 s:** Peaks at 1 and 9 **Drag the correct graph from the left to each time slot on the right matching the above positions.** --- If you need the exact image-to-label mapping, let me know which graphs on the left have those peak positions, and I can provide the precise order!

# Summary of Wave Snapshots ## Overview This guide outlines the positions of two waves on a string at 1-second intervals from \( t = 1 \) s to \( t = 6 \) s. ## Wave Movement - Two waves approach each other at a speed of 1 m/s. - Original positions are: - Wave 1 at \( x = 3 \) m (moving right) - Wave 2 at \( x = 7 \) m (moving left) ## Snapshot Positions The peak positions of the waves at each second are as follows: 1. **\( t = 1 \) s**: Peaks at \( x = 4 \) and \( x = 6 \) 2. **\( t = 2 \) s**: Single peak at \( x = 5 \) (constructive interference) 3. **\( t = 3 \) s**: Peaks at \( x = 4 \) and \( x = 6 \) (swapped sides) 4. **\( t = 4 \) s**: Peaks at \( x = 3 \) and \( x = 7 \) 5. **\( t = 5 \) s**: Peaks at \( x = 2 \) and \( x = 8 \) 6. **\( t = 6 \) s**: Peaks at \( x = 1 \) and \( x = 9 \) ## Graph Matching Match the following graphs to the respective time intervals based on peak positions: - **\( t = 1 \) s**: Graph with peaks at **4 and 6** - **\( t = 2 \) s**: Graph with peak at **5** - **\( t = 3 \) s**: Graph with peaks at **4 and 6** (same as \( t = 1 \)) - **\( t = 4 \) s**: Graph with peaks at **3 and 7** - **\( t = 5 \) s**: Graph with peaks at **2 and 8** - **\( t = 6 \) s**: Graph with peaks at **1 and 9** ## Conclusion Use the above information to drag the correct graphs to the corresponding time slots. Each graph reflects the state of the waves at that specific second.