Question 45

Figure shows velocity time graph for a particle in motion. Displacement made by the particle in $$12\text{ s}$$ is
[image]

Solution

Displacement is the signed area under the velocity-time graph. From 0 to 3 s the area is $$\frac{1}{2} \times 3 \times 2 = 3$$, from 3 to 6 s it is $$3 \times 2 = 6$$, from 6 to 9 s it is $$3$$, and from 9 to 12 s it is $$-\frac{1}{2} \times 3 \times 2 = -3$$. Displacement $$= 3 + 6 + 3 - 3 = 9\text{ m}$$.

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