Question

The area under a speed-time graph represents a physical quantity which has the unit of (a) m
(b) m2
(c) m s−1
(d) m s−2

Answer 1

Answer:

A

Explanation:

Since rate of change in distance over time is speed , Area under speed - time graph will give us distance . whose unit is metre .

$v = \frac{dx}{dt} \implies \: x = \int \: vdt$

Answer 2

Answer:

The physical quantity under speed-time graph is distance, and the unit of distance is meter(m).

Explanation:

Given a speed-time graph.

The area under speed-time graph is

                               $Area=speed(v)\times time(t)$

Speed is defined as distance travelled in unit time, so substituting the respective units,

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

                                          $={m}$

The physical quantity under speed-time graph is distance, and the unit of distance is meter(m).

So, the correct answer is option a.