Question

State the condition under which the distance-time graph of an object is a horizontal line parallel

Answer 1

Explanation:Distance-time graph of an object can be a horizontal straight line parallel to time axis. It represents that the position of the body does not changes with the passage of time. So it represents the rest state of motion.​

Answer 2

Required Answer:

The distance time graph will be horizontal parellel line with x axis when the object is at rest or is not changing its position and not covering any distance. So distance will remain unchanged at a point but time is increasing constantly. The object is not doing any motion. The distance time graph fo an object can only be a straight horizontal line in this case.

Distance time graph for straight line:

$\setlength{\unitlength}{1 cm}\begin{picture}(16,8)\thicklines\put(1,1){\circle*{0.1}}\put(1,1){\vector(1,0){4}}\put(1,1){\vector(0,1){4}}\qbezier(1,3)(1,3)(4.6,3)\put(2.5,0.5){\large\sf Time}\put(2,0.9){\line(0,0){0.2}}\put(4,0.9){\line(0,0){0.2}}\put(0.9,2){\line(1,0){0.2}}\put(0.9,4){\line(1,0){0.2}}\put(3,0.9){\line(0,0){0.2}}\put(-1,3){\large\sf Distance}\end{picture}$

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