Question

Displacement of a particle in a given time interval equals the area under the ______ graph during that time.

1. v-t
2. s-t
3. a-t
4. a-s

Answer 1

The correct answer is that the displacement of a particle corresponds to the area under the velocity-time (v-t) graph.

Step-by-step explanation:

The displacement of a particle in a given time interval equals the area under the velocity-time (v-t) graph during that time. This is because the area under the v-t graph represents how far the particle has traveled in that time - which is precisely the definition of displacement. Recall that the gradient of a v-t graph gives you the acceleration, and the area under an acceleration-time (a-t) graph would give you the change in velocity, not displacement. It is crucial to differentiate between these concepts to correctly interpret motion graphs.