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 average velocity in time interval $1$ s to $5$ s.

Time (s)	Displacement (m)
0	2
1	6
2	12
3	12
4	12
5	18
6	22
7	24

Answer 1

Displacement-time graph:
In displacement-time graph, the displacement of the body is taken along Y-axis and time along X-axis.
Displacement - time sketch for the given data is shown below:

Average velocity:
Given,
Time taken, $t=5-1=4\text{s}$
Displacement covered in time interval $1$ s to $5$ s.
S $=\text{final position - initial position}=18m-6m=12m$
We know,
$\text{Average velocity}=\frac{\text{Total displacement}}{\text{Total time}}=\frac{S}{t}=\frac{12}{4}{\text{ms}}^{-1}v=3{\text{ms}}^{-1}$
Hence, average velocity of the body is $3{\text{ms}}^{-1}$.