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When it comes to understanding the concept of distance traveled, visualize it as the total length of the path you have taken from start to finish. In the context of driving, distance is what the car's odometer records as you drive around. In our example, when the person leaves home for sightseeing, the car's odometer initially shows 12352 km. By the time they return, it reads 12416 km. The distance traveled is computed by simply subtracting the starting odometer reading from the ending reading:

• Initial reading: 12352 km
• Final reading: 12416 km
• Distance traveled: 12416 km - 12352 km = 64 km

This simple difference gives us a comprehensive idea of how much ground was covered in total, irrespective of the starting and ending points.

Average velocity offers a way to describe how fast you are moving in a specified direction, giving importance not just to speed, but also to direction. It is calculated as the displacement divided by the time taken. Displacement is the straight line distance from the starting to the ending position, with consideration of the direction.In this case, since the car returns home, the starting and ending point are the same. Therefore, the displacement is zero:

• Displacement: 0 km (since the position did not change overall)
• Time elapsed: 2 hours

Plugging these into the average velocity formula:\[\text{Average Velocity} = \frac{\text{Displacement}}{\text{Time}} = \frac{0}{2 \text{ hours}} = 0 \text{ km/h}\]This indicates that, although the car was moving during the trip, it essentially didn’t move anywhere in terms of position from the start point.

Displacement is a crucial concept that is often confused with distance. While distance accounts for the total path covered, displacement focuses solely on the change in position from the start to the endpoint. To imagine displacement, think about where you began your journey and where you ended up. Measure the shortest path between these two points. It's a vector quantity, which means it has both magnitude and direction. In our scenario with the sightseeing trip, the car returns to its starting point, which results in:

• Starting point and ending point are the same: Home
• Distance from start to end point: 0 km

Hence, the displacement here is 0 km. This distinction is why displacement can sometimes be zero (as in this scenario), even when distance is not. It’s all about the net change in position.