Question

Area under a $v-t$ graph represents a physical quantity which has the unit

• A. $m^2$
• B. $m$
• C. $m^3$
• D. $m{s}^{-1}$

Answer 1

The correct option is B

$m$

Step: 1 Given and to find

In the given question, we have an area under a $v-t$ graph represents a physical quantity and need to find its unit.

Step: 2 Displacement

1. The displacement of an object is the shortest distance between the initial and final point of its path.
2. The displacement of an object is represented by the area under a velocity-time graph.

Step: 3 Finding the unit

We know that Displacement = velocity $\times$ time…….(i)

We know that the Velocity unit is $\frac{m}{s}$and the time unit is second $\left(s\right)$.

Putting all the above units in equation (i) we get

Displacement = $\frac{m}{s}\times s=m$

Thus, The area under a graph represents the physical quantity and displacement. As the unit of displacement is a meter.

Hence, the correct option is (b) $m$.