1)the magnitude of the velocity of a particle is equal to speed 2)the magnitude of average velocity of a particle in an interval is equal to its average speed in that interval 3)it is possible to have a situation in which the speed of a particle is never zero but average speed in an interval is zero 4)it is possible to have a situation in which the speed of a particle is zero but the average speed is not zero a) 1 and 4 are true b) only 1 is zero c) 2 and 3 are true d) 1 and 3 are true
Question
1)the magnitude of the velocity of a particle is equal to speed 2)the magnitude of average velocity of a particle in an interval is equal to its average speed in that interval 3)it is possible to have a situation in which the speed of a particle is never zero but average speed in an interval is zero 4)it is possible to have a situation in which the speed of a particle is zero but the average speed is not zero a) 1 and 4 are true b) only 1 is zero c) 2 and 3 are true d) 1 and 3 are true
Solution
The correct answer is d) 1 and 3 are true.
Here's why:
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The magnitude of the velocity of a particle is equal to speed. This statement is true. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. When we talk about the magnitude of velocity, we're talking about speed.
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The magnitude of average velocity of a particle in an interval is equal to its average speed in that interval. This statement is false. Average velocity is displacement (change in position) divided by time, while average speed is total distance traveled divided by time. They are not always equal.
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It is possible to have a situation in which the speed of a particle is never zero but average speed in an interval is zero. This statement is true. For example, if a particle moves in a circle and returns to its starting point, its total distance traveled is not zero, but its displacement is zero. Therefore, its average speed (total distance divided by time) is not zero, but its average velocity (displacement divided by time) is zero.
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It is possible to have a situation in which the speed of a particle is zero but the average speed is not zero. This statement is false. If the speed of a particle is zero, it means the particle is not moving. Therefore, both its instantaneous speed and its average speed must be zero.
Similar Questions
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