#### Question

Figure shows the distance-time graph for the motion of two vehicles A and B. Which one of them is moving faster?

**Figure: Distance-time graph for the motion of two cars**

#### 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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Figure Shows the Distance-time Graph for the Motion of Two Vehicles a and B. Which One of Them is Moving Faster? Concept: Distance-Time Graph.

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