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Question
a race car completes exactly 10 laps around an oval track. which of the following pairs of quantities concerning its motion would both have values of zero?○ displacement, average velocity○ average speed, average acceleration○ distance, average speed○ average speed, average velocity○ displacement, average speedquestion 14 (1 point)which of the following measurements is a scalar quantity?○ the tension in an elevator cable○ the acceleration of a car along a test track○ the instantaneous velocity of a parachutist in free fall○ the displacement of a hiker from her base station○ the measured distance between toronto and montreal
For the first question:
- Displacement is the net change in position; after 10 full laps, the car returns to its starting point, so displacement = 0.
- Average velocity is $\frac{\text{total displacement}}{\text{total time}}$, so it is also 0.
- Distance, average speed, and average acceleration are non-zero here: distance is 10×track length, average speed is $\frac{\text{total distance}}{\text{total time}}$, and the car must accelerate/decelerate through turns.
For Question 14:
- Scalar quantities have only magnitude; vector quantities have magnitude and direction.
- Tension, acceleration, instantaneous velocity, displacement are all vectors (they have direction associated with them).
- Distance between two cities is a scalar, as it only has a magnitude with no required direction for the measurement itself.
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First question: displacement, average velocity
Question 14: the measured distance between Toronto and Montreal