Two cars A and B are moving on a levelled, straight road. Their distance-time graphs are shown in the figure. Regarding the motion of these cars which car is moving faster?
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Answer:
The slope of distance vs time graphs represent speed. B has the minimum slope and hence the minimum speed.
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Among the two cars A and B, car A is moving faster.
Given,
Refer figure.
The distance-time graphs for two moving cars are given.
To find,
Which car is moving faster.
Solution,
We can see that here, the distance-time graphs for 2 moving cars are given in the figure.
The two cars are A and B.
- It should be known that when we are looking at the distance-time graph of a moving body, its slope represents the speed (or velocity).
- That is, the greater the slope, the greater will be the speed of the body.
From the given figure, the following observations can be made.
Car A has a slope greater than the slope of car B.
⇒ slope (car A) > slope (car B)
which further implies that,
the speed of car A > the speed of car B.
Therefore, among the two cars A and B, car A is moving faster.
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