Question

A body is moving in a straight line and its displacement at various instants of time is given in the following table Plot displacement-time graph and calculate —
Time (s) 0 1 2 3 4 5 6 7
Displacement (m) 2 6 12 12 12 18 22 24

(i) Total distance travelled in interval 1 s to 5 s, (ii) Average velocity in time interval 1 s to 5 s.

February 22, 2024

Answer

The displacement-time graph is given below:

(i) When we observe the graph, we find —

Total distance travelled in interval 1 s to 5 s = 18 m – 6 m = 12 m

Hence, the total distance travelled in interval 1 s to 5 s = 12 m

(ii) As we know,

Avg. velocity = $Total\ distance \over Total\ Time$

= $18 - 6 \over 5 - 1$

= $12 \over 4$

= 3 ms^-1

Hence, the average velocity of the car in interval 1 s to 5 s is 3 ms^-1.

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