Arrange the speed of three bodies - A, B, C, in their increasing order from the graph shown below
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The slope of distance time graph gives the speed of the bodies. It is because speed is the distance per unit time.
✳️ What is slope in graphs?
- It is the change in change in y to change in x. The slope is expressed in the form tan Θ.
- It is by imagining a triangle with angle Θ and the perpendicular is change in y and the base is change in x.
Now coming to the question, Here Speed corresponds the slope of the graph. Higher the slope, Higher is the speed. When slope is greater, it will lie more towards the y axis as compared to the other. Hence, increasing order of the speed
- Slope of A is the highest.
- Slope of B is between the slope of A and C.
- Slope C is the lowest.
Hence, Speed C < Speed B < Speed A.
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