What quantity is represented by the area under the velocity-time graph?

Open in App

Solution

The velocity-time graph is shown above in which the shaded portion gives the area under the graph and it represents displacement.
$A r e a u n d e r V - t g r a p h = A r e a o f t r i a n g l e = \frac{1}{2} \times b a s e \times a l t i t u d e A r e a o f t r i a n g l e = \frac{1}{2} \times (t - 0) \times (V - 0) = \frac{1}{2} V t$
Since units of $V \times t = \frac{m}{s} \times s = m, w h e r e u n i t o f v e l o c i t y i s m / s a n d u n i t f o r t i m e i s s$
Thus this area represents the displacement covered by the body.
Hence, the quantity that is represented by the area under the velocity-time graph is displacement.

Suggest Corrections

Similar questions

v

t

The area under the velocity(v)-time(t) graph represents the physical quantity which has the unit:

Name the physical quantity measured by the area under the velocity-time graph.

Join BYJU'S Learning Program