Find the displacement of the body from the following graph
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The displacement of a moving object in a velocity time graph such as the one given above, can always be found by calculating the area under the curve made in the graph.
This are gives the displacement of the object in meters.
The calculation will be as follows:
Calculate the area of the figures formed by the curve mapping the movement of the body.
There are these figures:
-triangle
-rectangle, and
-two trapezia
Are of the triangle:
1/2bh = 1/2 × 2 × 5 = 5m²
Area of the rectangle
L × W = 4 × 5 = 20 m²
Area of the 2 trapezia
1/2(a+b)h × 2 = 1/2 (5+10)2 ×2 = 30m²
Add the areas of these regions of the curve to find the total area
5m² + 20m² +30m²
= 55m²
Therefore this body's displacement = 55 meters
This are gives the displacement of the object in meters.
The calculation will be as follows:
Calculate the area of the figures formed by the curve mapping the movement of the body.
There are these figures:
-triangle
-rectangle, and
-two trapezia
Are of the triangle:
1/2bh = 1/2 × 2 × 5 = 5m²
Area of the rectangle
L × W = 4 × 5 = 20 m²
Area of the 2 trapezia
1/2(a+b)h × 2 = 1/2 (5+10)2 ×2 = 30m²
Add the areas of these regions of the curve to find the total area
5m² + 20m² +30m²
= 55m²
Therefore this body's displacement = 55 meters
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Explanation:
Find the total displacement of the body from the following graph:
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