Final answer:
Dante runs a total distance of 1600 meters by completing 2 laps around an 800 meter track. However, his displacement is 0 meters because he finishes at his starting point, resulting in no net change in position.
Step-by-step explanation:
To calculate the distance and displacement for Dante who runs 2 laps around an 800 meter track, we need to understand the difference between these two concepts. Distance is a scalar quantity that refers to the total path length covered during motion, while displacement is a vector quantity that refers to the change in position of an object. In this scenario, Dante is running around a closed loop, where the start and end points are the same.
Firstly, the distance covered by Dante can be found by multiplying the length of one lap by the number of laps run. Therefore:
- Distance = Length of one lap × Number of laps
- Distance = 800 meters × 2 laps
- Distance = 1600 meters
Since Dante ends up at his starting point after the 2 laps, the displacement, which accounts for the change in position from Dante's starting to ending point, would be 0 meters, because there is no net change in position.