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During a 30-minute round trip to the store, a car covers a total distance of 6 km and returns to exactly where it started. What are its average speed and average velocity for the trip?
ASpeed 0, velocity 12 km/h
BSpeed 12 km/h, velocity 12 km/h
CSpeed 12 km/h, velocity 0
DSpeed 6 km/h, velocity 0
Answer & Solution
Correct answer: C. Speed 12 km/h, velocity 0
1. Average speed uses total distance travelled (a scalar): 6 km covered in 0.5 h gives 12 km/h.
2. Average velocity uses net displacement (a vector): since the car returns to its starting point, net displacement is zero.
3. The figure caption states this directly: "The average speed is 12 km/h. The displacement for the round trip is zero, because there was no net change in position."
4. So the average speed is a nonzero 12 km/h even though the average velocity is exactly zero -- this is why the two quantities are not the same thing.
_Source: OpenStax Physics Ch 2 "Motion in One Dimension", p.66 Fig. 2.8 §2.2 Speed and Velocity_
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