Question

Under what condition the distance time graph of an object is horizontal line parallel to the time axis. please answer it

Answer 1

When an object or person does not change its position with respect to time, the plot of the distance-time graph will be parallel with respect to time.

• When the velocity or speed of the body is zero, the body will not be in motion hence it will also not change its position.
• It can be viewed as one of the applications of the first law of motion which says " A body at rest will remain at rest until an external force is applied on it".
• Another important thing about the distance-time graph is that the slope of the distance-time graph gives speed at that instant whereas the slope of the displacement time graph gives velocity.
• Distance is a scalar quantity whose SI unit is meter (m) and that of time is second.

Answer 2

When the object is at rest, the distance-time graph of an object is a horizontal line parallel to the time axis.

• In a distance-time graph, the slope or gradient of the line is equal to the object's speed.

• The horizontal line on a distance-time graph shows that the object is stationary (not moving because the distance does not change)
• If the distance-time graph is a straight line then the motion is uniform.
• If the distance-time graph of anybody is given, its speed can be calculated using the slope of the graph. The slope of the straight-line graph will be the same irrespective of the interval which is chosen.
• The distance-time graph of an object is a horizontal line parallel to the axis of time when the object is at rest.
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