Math Problem Statement
David runs exactly 2 laps around a 400m track. What is his distance and displacement?
Solution
David runs 2 laps around a 400m track.
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Distance: Distance is the total length traveled. Since each lap is 400 meters, and David runs 2 laps: So, his distance is 800 meters.
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Displacement: Displacement is the shortest straight-line distance between the start and finish points. Since David returns to his starting point after completing the laps, his displacement is: because there is no change in position.
Would you like more details or have any further questions?
Here are some related questions:
- How would the displacement change if David stopped halfway through the second lap?
- What is the difference between distance and displacement in terms of direction?
- How do you calculate displacement in a circular motion for a partial lap?
- How does average velocity differ from speed in this scenario?
- What would be David's displacement if he ran one full lap and then half of another?
Tip: In circular motion, displacement can be tricky—always consider the start and end points to determine it!
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Math Problem Analysis
Mathematical Concepts
Distance
Displacement
Circular Motion
Formulas
Distance = number of laps × length of one lap
Displacement = straight-line distance between start and end points
Theorems
Concept of displacement in circular motion
Suitable Grade Level
Grades 6-8
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