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Figure shows the distance-time graph for...

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

Distance-time graph for the motion of two cars

Text Solution

Verified by Experts

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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