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 solve each of these problems step by step. --- **12. Time for a Bug to Travel 10 Meters at \( 2 \, \mathrm{m/s} \)** **Given:** - Distance (\( d \)) = 10 meters - Speed (\( v \)) = \( 2 \, \mathrm{m/s} \) **Formula:** \[ \text{Time} (t) = \frac{\text{Distance} (d)}{\text{Speed} (v)} \] **Calculation:** \[ t = \frac{10 \, \text{m}}{2 \, \mathrm{m/s}} = 5 \, \text{seconds} \] **Answer:** It will take **5 seconds** for the bug to travel 10 meters. --- **13. Velocity of a Car Traveling 400 Meters North in 20 Seconds** **Given:** - Displacement (\( \Delta x \)) = 400 meters North - Time (\( t \)) = 20 seconds **Formula:** \[ \text{Velocity} (\vec{v}) = \frac{\text{Displacement} (\Delta x)}{\text{Time} (t)} \] **Calculation:** \[ \vec{v} = \frac{400 \, \text{m} \, \text{North}}{20 \, \text{s}} = 20 \, \mathrm{m/s} \, \text{North} \] **Answer:** The car's velocity is **20  meters per second North**. --- **14. Velocity When Moving 50 Meters West in 10 Seconds** **Given:** - Displacement (\( \Delta x \)) = 50 meters West - Time (\( t \)) = 10 seconds **Formula:** \[ \text{Velocity} (\vec{v}) = \frac{\text{Displacement} (\Delta x)}{\text{Time} (t)} \] **Calculation:** \[ \vec{v} = \frac{50 \, \text{m} \, \text{West}}{10 \, \text{s}} = 5 \, \mathrm{m/s} \, \text{West} \] **Answer:** Your velocity is **5  meters per second West**. --- Feel free to ask if you have any more questions!