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# Which of the following distance-time graphs shows a truck moving with a speed which is not constant?

"

__Given:__

__Four distance-time are given in the question above.__

__To do:__

To determine the distance-time graph that shows a truck moving with a speed that is not constant.

__Solution:__

The slope of a distance-time graph represents the motion of the object. let us observe the slopes of the given distance-time graphs and find the graph that shows a truck moving with a speed which is not constant.

__Observations of slopes of the given graphs:__

**Graph $(i)$**

In the given graph slope is a straight line representing uniform motion. It represents the constant speed.

**Graph $(ii)$ **

The distance covered is not increasing with increasing time in graph $(ii)$.

So, it represents that the object is at rest.

**Graph $(iii)$ **

The slope of Graph $(iii)$ is curved. So, it does not represent the constant speed of the object. It represents the variable speed as its slope is curved.

**Graph $(iv)$ **

The slope of graph $(iv)$ is a straight line that represents the constant speed of the object.

__Conclusion:__

From the observations of the slopes of the given graphs, it is clear that graph $(iii)$ is the only graph that shows a truck moving with a speed that is not constant.

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