Distance-Time Table and Distance-Time Graph

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Mr.X is travelling from New Delhi to Agra in a bus and records his observation

Observations

Distance in km	0	10	20	30	40	50	60
Time	10.00 am	10.15 am	10.30 am	10.45 am	11.00 am	11.15 am	11.30 am

The above table tells us that the bus is covering equal distances in equal intervals of time. The bus is moving with uniform speed. In such an event, we can calculate the distance covered by the bus, at any given time .

Consider an object moving with uniform speed v from its initial position x_i to final position x_f in time t.

The equation (1) gives the relation between distance, time and average speed. This relation can be used for making distance-time tables and also to determine the position of any moving object at any given time.

But it is a long and tedious process especially when we have to determine the position after a long time or when we have to compare the motion of two objects. In such situations we can make use of graphs like distance-time graph.

A distance-time graph is a line graph showing the variation of distance with time.

In a distance-time graph, time is taken along x-axis and distance along y-axis.

Note:

Line graph is a graph which shows the dependence of one quantity on another quantity.

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