hearing rattles from a snake, a boy make two rapid displacements of magnitude 1.8m and 2.4m in sketches show how the two displacements might add up to give magnitude of 4.2m, 3.0m and 0.6m?
To understand how the two displacements might add up to give magnitudes of 4.2m, 3.0m, and 0.6m, we can break down the problem into smaller steps and visualize the displacements.
Let's start by considering the magnitudes separately:
1. Magnitude of 4.2m:
- To achieve a magnitude of 4.2m, the two displacements must add up to a longer distance.
- One possible way this can be achieved is by adding the two displacements end-to-end in the same direction. This would result in a straight line.
2. Magnitude of 3.0m:
- To achieve a magnitude of 3.0m, the two displacements must partially cancel each other out.
- One possible way this can be achieved is by adding the two displacements in opposite directions. This would result in a triangle shape, where the two displacements make an angle.
3. Magnitude of 0.6m:
- To achieve a magnitude of 0.6m, the two displacements must almost completely cancel each other out.
- One possible way this can be achieved is by adding the two displacements in opposite directions, but at a much smaller angle. This would result in a nearly straight line.
Now, let's visualize these scenarios by sketching:
1. For a magnitude of 4.2m:
- Draw a horizontal line of length 1.8m.
- Next to the end point of the first line, draw another horizontal line of length 2.4m.
- Connect the starting point of the first line to the end point of the second line, resulting in a longer straight line. The total length will be 4.2m.
2. For a magnitude of 3.0m:
- Draw a horizontal line of length 1.8m.
- At the end point of the first line, draw a line in the opposite direction with a length of 2.4m.
- Connect the starting point of the first line to the end point of the second line, forming a triangle. The total length from the starting point to the ending point of the triangle will be 3.0m.
3. For a magnitude of 0.6m:
- Draw a horizontal line of length 1.8m.
- At the end point of the first line, draw a line in the opposite direction with a length of 2.4m.
- Draw a line segment from the starting point of the first line to the end point of the second line, but at a much smaller angle. This will result in a nearly straight line that is very close to canceling out the previous displacements. The total length will be approximately 0.6m.
Remember that these sketches are just visualizations to help you understand how the two displacements can add up to the given magnitudes.