12. How much time will it take for a bug to travel 10 meters across the floor if it is traveling at \( 2 \mathrm{~m} / \mathrm{s} \) ? 13. If a car travels 400 m North in 20 seconds, what is its velocity? 14. If you move 50 meters in 10 seconds West, what is your velocity?

Sure, let's tackle each of your questions one by one with detailed explanations. --- ### **12. How much time will it take for a bug to travel 10 meters across the floor if it is traveling at \( 2 \, \mathrm{m/s} \)?** **Solution:** To find the time it takes for the bug to travel a certain distance, you can use the basic formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] **Given:** - **Distance (d)** = 10 meters - **Speed (v)** = 2 meters/second **Calculation:** \[ \text{Time} = \frac{10 \, \text{m}}{2 \, \text{m/s}} = 5 \, \text{seconds} \] **Answer:** It will take **5 seconds** for the bug to travel 10 meters. --- ### **13. If a car travels 400 meters North in 20 seconds, what is its velocity?** **Solution:** Velocity is a vector quantity, which means it has both magnitude and direction. To determine the velocity, use the formula: \[ \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} \] **Given:** - **Displacement (s)** = 400 meters North - **Time (t)** = 20 seconds **Calculation:** \[ \text{Velocity} = \frac{400 \, \text{m North}}{20 \, \text{s}} = 20 \, \text{m/s North} \] **Answer:** The car's velocity is **20  meters per second North**. --- ### **14. If you move 50 meters in 10 seconds West, what is your velocity?** **Solution:** Again, since velocity includes both magnitude and direction, we'll apply the same formula: \[ \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} \] **Given:** - **Displacement (s)** = 50 meters West - **Time (t)** = 10 seconds **Calculation:** \[ \text{Velocity} = \frac{50 \, \text{m West}}{10 \, \text{s}} = 5 \, \text{m/s West} \] **Answer:** Your velocity is **5  meters per second West**. --- **Summary of Answers:** 12. **5 seconds** 13. **20  meters per second North** 14. **5  meters per second West** If you have any further questions or need additional explanations, feel free to ask!