Which of the following can sometimes be ‘zero’ for a moving body? i. ...
To understand which of the given options can sometimes be zero for a moving body, let's look at each option individually:
i. Average velocity:
Average velocity is defined as the change in position divided by the change in time. It is a vector quantity, which means it has both magnitude and direction. The average velocity can be zero if the displacement of the body is zero over a given time interval. This means that the body is not changing its position and is at rest.
ii. Distance traveled:
Distance traveled is the total length of the path taken by a moving body. It is a scalar quantity, which means it only has magnitude. The distance traveled can never be negative and is always a positive value. Therefore, it cannot be zero for a moving body unless the body does not move at all.
iii. Average speed:
Average speed is defined as the total distance traveled divided by the total time taken. It is a scalar quantity. Average speed can be zero if the total distance traveled by the body is zero over a given time interval. This means that the body does not move at all during that time.
iv. Displacement:
Displacement is the change in position of a moving body and is a vector quantity. It is the shortest distance between the initial and final positions of the body, taking into account the direction. Displacement can be zero if the initial and final positions of the body are the same, indicating that the body has returned to its starting point.
So, from the given options, both average velocity and displacement can sometimes be zero for a moving body. Average velocity can be zero if there is no change in position, and displacement can be zero if the body returns to its starting point. Therefore, the correct answer is option 'C' - (i) and (iv).
In summary, the average velocity and displacement can sometimes be zero for a moving body, while the distance traveled and average speed cannot be zero unless the body does not move at all.
Which of the following can sometimes be ‘zero’ for a moving body? i. ...
1. The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a Vector quantity. The SI unit is meters per second.
2. The distance travelled is the path taken by a body to get from an initial point to an end point in a given period of time, at a certain velocity. If the velocity is constant: Distance = time * velocity.
3. The average speed of an object is the total distance traveled by the object divided by the elapsed time to cover that distance. It's a scalar quantity which means it is defined only by magnitude. A related concept, average velocity, is a vector quantity. A vector quantity is defined by magnitude and direction.
4. If an object moves relative to a reference frame—for example, if a professor moves to the right relative to a whiteboard, or a passenger moves toward the rear of an airplane—then the object’s position changes. This change in position is known as displacement. The word displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object.
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