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Question
What can you say about the motion of an object whose distance-time graph is a straight line parallel to the time axis?
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Solution
When an object is at rest, its distance-time graph is a straight line parallel to the time axis.

A straight line parallel to the x-axis in a distance-time graph indicates that with a change in time, there is no change in the position of the object. Thus, the object is at rest.
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RELATED QUESTIONS
What is the nature of the distance-time graphs for uniform and non-uniform motion of an object?
Figure shows the distance-time graph for the motion of two vehicles A and B. Which one of them is moving faster?

Figure: Distance-time graph for the motion of two cars
What conclusion can you draw about the speed of a body from the following distance-time graph ?

What can you say about the motion of a body whose distance-time graph is a straight line parallel to the time axis ?
Name the two quantities, the slope of whose graph give speed .
Two friends leave Delhi for Chandigarh in their cars. A starts at 5 am and moves with a constant speed of 30 km/h, whereas B starts at 6 am and moves with a constant speed of 40 kmh-1. Plot the distance-time graph for their motion and find at what time the two friends will meet and at what distance from Delhi.
A body moves along a straight road with a speed of 20 m/s and has a uniform acceleration of 5 m/s2. What will be its speed after 2 s?
The slope of the distance-time graph indicates the speed.
Assertion: The slope of the distance-time graph of a body moving with high speed is steeper than the slope of the distance-time graph of a body with low velocity.
Reason: Slope of distance-time graph = speed of the body.
What do you infer if
- Distance – time graph is a straight line.
- The velocity-time graph is curved.
- Displacement time is zigzag.
