Q: What line on a distance-versus-time graph means that the object is at rest?

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It means there is no movement towards or away from the point from which distances are measured - usually the origin. The object can be moving in a transverse direction at any speed and the graph would not show it.

The gradient of a distance-time graph gives the object's speed.

When there is a curved line going upwards on a graph it means the distance is increasing

Linear equation.

Object will change distance time graph when speed is changing. Distance time graph don't changed indicate of the stationary.

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If it is a horizontal straight line, it means the object is moving at constant velocity. If it is a sloped line, it means the object is accelerating.

A horizontal line on a distance-time graph means the object is not changing its position over time, i.e., it is stationary or moving at a constant speed.

Yes, a horizontal line on a distance-time graph represents an object moving at a constant speed. The slope of the line on a distance-time graph represents the speed of the object, and if the line is horizontal, it means the object is moving at a constant speed as there is no change in distance over time.

It means that the object in question is moving at a constant speed.If the graph is a straight horizontal line, then the speed is zero.

If there is a flat line on a distance-time graph, it indicates that the object is not moving, as the distance remains constant over time. This means that there is no change in position, and the object is at rest.

It means that the speed of the object is constant.

If an object's velocity-time graph is a straight line parallel to the time axis, then the object's acceleration is zero. This means that the object is moving at a constant velocity.

it means the object is moving at a constant speed

Not necessarily. If the horizontal line is laying on top of the x-axis, then the speed is zero at any time, and the object isn't moving. But if the horizontal line is parallel to the x-axis, then the object is moving with constant speed.

An object with a distance-time graph that is a straight line parallel to the time axis is not moving, it is at rest. The object is not changing its position with respect to time.

A distance-time graph is a straight line when the object is moving at a constant speed. This means that the object covers equal distances in equal time intervals. It indicates a uniform motion without acceleration or deceleration.

It means that the object in question is travelling at constant speed.