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1 March, 04:40

Select all the correct answers. Two buses leave school moving in opposite directions. After 15 minutes, they are both 10 miles away from the school. Which statements correctly describe the motion of the buses? The velocity of the buses is equal. The average speed of the buses is equal. The average speed of the buses is not equal. The velocity of the buses is not equal. Both buses move with constant velocity the entire trip.

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  1. 1 March, 06:12
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    Two buses leave school moving in opposite directions. After 15 minutes, they are both 10 miles away from the school.

    - - The velocity of the buses is equal? No. Velocity includes direction of motion, and they moved in opposite directions.

    - - The average speed of the buses is equal? The average speed of the buses is not equal?

    We don't know. Speed = (total distance covered) / (time to cover the distance). It's possible that one bus might have taken the scenic route, covered more distance, but drove faster. His average speed would be higher than the slower one who took the shortest route. But we have no information about their routes, or how their speeds varied during the 15 minutes.

    - - The velocity of the buses is not equal? Yes. As discussed earlier, velocity includes the direction of the motion. Since the buses drove in opposite directions, there's no way their velocities could be equal. This is the only choice on the list that we can be sure is true. A few others may be true, but we don't have enough information to say.

    - - Both buses move with constant velocity the entire trip? We don't know. All we know is the displacement and the time for each bus. We don't know how their speeds might have varied during the 15 minutes, only their end results.
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