The displacement-time graph of two cars is given below Which car is moving faster justify

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Figure shows the displacement-time graph of two vehicles A and B moving along a straight road. Which vehicle is moving faster? Give reason.

Vehicle A is moving with a faster speed because the slope of line A is more than the slope of line B.

Concept: Distance and Displacement

Is there an error in this question or solution?

Vehicle A is moving faster than vehicle B.

Speed is given by the relation

Speed = `"Distance covered"/"Time taken"`

This relation shows that speed of a vehicle is greater if it covers maximum distance in a given interval of time. To compare the distance, draw a line perpendicular to the time-axis, as shown in the following distance-time graph

From the graph, it is evident that for a given time t, the distance covered by vehicle A is more than vehicle B. Hence, vehicle A is moving faster than vehicle B.

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