Question

What quantity is equal to the area under the velocity-time graph and the time axis of a moving object?

Answer 1

Answer:

area under velocity-time graph represents the position of particle

Answer 2

Answer:

The quantity that is equal to the area under the velocity time graph of a moving object is the displacement of the object.

Explanation:

In a velocity time graph, the area under the graph gives us the displacement that an object has had in its movement. This also can be the distance that the object has travelled.

Take for instance the graph below, the area of under the velocity time graph is given by a right angle triangle of base 5 units and height of 50 units.

Using the formula of area of triangle Area  = 1/2 × b × h, we get:

     Area   = 1/2 × 5 × 50

               = 5 × 25

               = 125

The distance that the object represented by this velocity time graph has travelled, is 125 m.