If the motion of an object is represented by a straight line parallel to the time axis in a distance-time graph, then the object undergoesa)an acceleration motionb)a decelerated motionc)a uniform non-zero velocity motiond)a zero velocity motionCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

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.

Similar Defence Doubts

If the distance S covered by amoving car in rectilinear motion with a speed v in time t is given by S = vt, then the car undergoes

Which one among the following situation is best represented by the velocity - time plot shown above?

In the given velocity (V) versus time (t) graph, accelerated and decelerated motions are respectively represented by line segments

A racing car accelerates on a straight road from rest to a speed of 50 m/s in 25 s. Assuming uniform acceleration of the car throughout, the distance covered in this time will be

A particle is acted on by a force parallel to y axis whose acceleration is Lambda why and is initially projected with a velocity a under root Lambda parallel to x-axis at a point where Y is equal to a. Prove that it will describe the category Y is is equal to A cos hyperbolic X upon a?

Top Courses for Defence

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams