As we know, the displacement of body at any instant can be obtained by finding the area enclosed by the straight line with the time axis up to that instant.
Let displacements at t = 1 s, 2 s, 3 s, and 4 s be S1, S2, S3, and S4 respectively.
At t = 1 s,
S1 = 1\over 2 × 1 × 1 = 0.5 m
At t = 2 s,
S2 = 1\over 2 × 2 × 2 = 2 m
At t = 3 s,
S3 = 1\over 2 × 3 × 3 = 4.5 m
At t = 4 s,
S4 = 1\over 2 × 4 × 4 = 8 m
The table below gives the displacement of the body at different instants.
Time (in s) | 1 | 2 | 3 | 4 |
---|---|---|---|---|
Displacement (in m) | 0.5 | 2 | 4.5 | 8 |
The displacement time graph is shown below