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Two horses are running in a field. The gray horse runs 12 m/s north. The black horse runs 12 m/s east. Which is true about their motions?2 marksEqual speeds.Equal velocities.Equal displacements.

Question

Two horses are running in a field. The gray horse runs 12 m/s north. The black horse runs 12 m/s east. Which is true about their motions?2 marksEqual speeds.Equal velocities.Equal displacements.

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Solution

  1. Equal speeds: This is true. Both horses are running at the same speed of 12 m/s. Speed is a scalar quantity, meaning it only has magnitude and no direction. Therefore, even though the horses are running in different directions, their speeds are still equal.

  2. Equal velocities: This is false. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. While the horses have the same speed, they are running in different directions (one north, one east). Therefore, their velocities are not equal.

  3. Equal displacements: This is not necessarily true. Displacement is a vector quantity that refers to the change in position of an object. Without additional information about how long each horse runs, we cannot determine if their displacements are equal. If they both run for the same amount of time, their displacements would be equal in magnitude but not in direction. If they run for different amounts of time, their displacements would not be equal.

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