Question

Figure (a) shows the velocity-time graph for the motion of a body. Use it to find the displacement of the body at t = 1 s, 2 s, 3 s and 4 s, then draw on Figure (b), the displacement-time graph for it.

(a)	(b)

Answer 1

Let displacements at t = 1 s, 2 s, 3 s, 4 s be S₁, S₂, S₃, S₄ respectively.

At t = 1 s, displacement S₁ = `1/2 xx 1 xx 1` = 0.5 m

At t = 2 s, displacement S₂ = `1/2 xx 2 xx 2` = 2 m

At t = 3 s, displacement S₃ = `1/2 xx 3 xx 3` = 4.5 m

At t = 4 s, displacement S₄ = `1/2 xx 4 xx 4` = 8 m

The table below gives the displacement of 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