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Matter In Our Surroundings

Question
CBSEENSC9005747

What is distance-time graph of a body? Draw distance-time graphs for, 

(i) a stationary body,

(ii) a body moving with uniform velocity, and

(iii) a body moving with variable velocity.

Solution

Distance-time graph:
It is a graph obtained by plotting distance travelled along Y-axis and time taken along X-axis.

(i) Distance-time graph for stationary body:
The position of a stationary body does not change with time. So distance-time graph for a stationary body is a straight line parallel to time axis, as shown in Fig. 8.7 (a). 

(ii) Distance-time graph for uniform velocity:
For a body moving with uniform velocity, the distance travelled is proportional to the time taken. So distance-time graph is a straight line inclined to the time axis, as shown in Fig. 8.7 (b).

(iii) Distance-time graph for variable velocity:
When a body moves with variable velocity, it covers unequal distances in equal intervals of time. So the distance-time graph is not a straight line but it is a curve, as shown in Fig. 8.7 (c).