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Q.

Given figure shows the displacement-time graphs (a) and (b) for a body moving in a straight path drawn on the same scales. Then


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a

Slope of the line in (a) is greater than slope the line in (b)

b

Slope of the line in (b) is greater than slope of line in (a)

c

Slope of the line in (a) is equal to slope of line in (b)

d

Nothing can be said about the slopes 

answer is A.

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Detailed Solution

According to the graph the slope of the line in (a) is greater than the slope of line in (b).
The angle between the time axis and the displacement axis is used to calculate the graph's slope.
slope = displacement/ time
​As a result, the graph's slope increases as the displacement axis becomes more inclined. Hence Line in (a) has a slope that is higher than line in (b).
 
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