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When is the average velocity magnitude equal to the average speed?Only when a particle is moving with uniform velocity in a straight line.Whenever a particle is travelling in a straight line and not a curve.Only when a particle travels in a straight line without reversing its motion.Only when a particle travels in a straight line without stopping.

Question

When is the average velocity magnitude equal to the average speed?Only when a particle is moving with uniform velocity in a straight line.Whenever a particle is travelling in a straight line and not a curve.Only when a particle travels in a straight line without reversing its motion.Only when a particle travels in a straight line without stopping.

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Solution

The average velocity magnitude is equal to the average speed in the following scenarios:

  1. When a particle is moving with uniform velocity in a straight line: This means that the particle is moving at a constant speed in one direction. There are no changes in the speed or direction of the particle.

  2. Whenever a particle is travelling in a straight line and not a curve: If a particle is moving in a curve, its direction is constantly changing, which affects the velocity. However, if it's moving in a straight line, the direction remains constant, making the average velocity magnitude equal to the average speed.

  3. Only when a particle travels in a straight line without reversing its motion: If a particle reverses its motion, it changes its direction. This change in direction affects the velocity. But if the particle is moving in a straight line without reversing, the direction remains constant, making the average velocity magnitude equal to the average speed.

  4. Only when a particle travels in a straight line without stopping: If a particle stops, its speed becomes zero, which affects the average speed and velocity. But if the particle is moving in a straight line without stopping, the speed remains constant, making the average velocity magnitude equal to the average speed.

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