If the motion of an object is represented by a straight line parallel ...
Distance time graph parallel to the time axis.
It is clear from the graph that the position of the object is not changing with the change in time, hence the object is at rest or in other words we can say that it is a zero velocity motion.
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If the motion of an object is represented by a straight line parallel ...
Motion represented by a straight line parallel to the time axis in a distance-time graph
In a distance-time graph, the x-axis represents time and the y-axis represents distance. The motion of an object is represented by a line on this graph. If the line is parallel to the time axis, it means that the distance covered by the object remains constant over time. This indicates that the object is not changing its position and therefore has zero velocity.
Explanation of the correct answer
The correct answer is option D, which states that the object undergoes a zero velocity motion. This means that the object is not accelerating, decelerating, or moving at a non-zero constant velocity.
Acceleration motion
- Acceleration is the rate of change of velocity with respect to time. If the object were undergoing acceleration, the line on the distance-time graph would not be parallel to the time axis. Instead, it would have a positive or negative slope, indicating a change in velocity over time.
Decelerated motion
- Deceleration refers to a decrease in velocity. If the object were undergoing deceleration, the line on the distance-time graph would have a negative slope, indicating a decrease in distance covered over time. This would not be parallel to the time axis.
Uniform non-zero velocity motion
- Uniform non-zero velocity motion refers to an object moving at a constant speed in a specific direction. If the object were undergoing uniform non-zero velocity motion, the line on the distance-time graph would have a positive or negative slope, indicating a constant change in distance over time, but not parallel to the time axis.
Zero velocity motion
- Zero velocity motion means that the object is not changing its position and has no speed or direction of movement. If the line on the distance-time graph is parallel to the time axis, it indicates that the object is not covering any distance over time, which aligns with zero velocity motion.
Therefore, the correct answer is option D, as it correctly identifies the motion represented by a straight line parallel to the time axis in a distance-time graph as zero velocity motion.