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