Question

Area under a υ -1 graph represents a physical quantity which has the unit
(а) m2
(b) m
(c) m3
(d) ms-1​

Answer 1

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(b) Area under v-t graph represent displacement whose unit is metre or (m). Because, unit of velocity v = m/s and unit of time (T) = s. Hence, the unit of (v-t) graph is metre (m).

Answer 2

Given :

Graph of velocity vs time

To Find:

Unit of the quantity represented by the area under velocity-time graph

Solution:

• The area under a graph is given by:

              Area = slope of the y-axis × slope of the x axis

Between the same 2 points on both axis.

• Here, the area under the graph is given by:

                  Area = velocity(m/s) × time(s)

                  Area = Distance(m)

Therefore, the area under the velocity-time graph gives distance with unit metres(m).

Thus, option (b) m is correct.