a student leaves home and walks 100 m in a northerly direction. he then walks in a direction of 45 degree north of east for 50 m to reach school. calculate the displacement graphically. choose a scale to draw the diagram
To calculate the displacement of the student graphically, we can break down their movements into two components: the northward movement and the eastward movement.
1. Start by drawing a coordinate system. Take a piece of graph paper and label the x-axis as East/West and the y-axis as North/South. Choose a suitable scale, for example, let 1 cm on the graph paper represent 10 m. This means that 1 unit on the graph paper represents 10 meters in real life.
2. Begin by marking the starting point, which is the home. Label it as point A and mark it on the graph paper.
3. Measure 10 cm up from point A on the y-axis and mark another point. Label it as point B. This represents the 100 m northward movement.
4. From point B, draw a line at an angle of 45 degrees north of east. Measure 5 cm along this line and label it as point C. This represents the 50 m movement in the direction of 45 degrees north of east.
5. Draw a straight line connecting points A and C. This line represents the displacement vector for the student.
6. Finally, measure the length of the line AC on the graph paper. This will give you the magnitude of the displacement.
In this case, the displacement should be approximately 11 cm on the graph paper, which corresponds to 110 m in real life (since 1 cm represents 10 m).
Note: The direction of the displacement can be determined by measuring the angle between the x-axis and the line AC.
To calculate the displacement graphically, we can draw a scale diagram. Let's assume that 1 cm on the diagram represents 10 m of displacement.
First, draw a line representing the 100 m displacement in the northerly direction. Label this line as "100 m North" or "N".
Next, draw a line at a 45-degree angle to the right of the northerly line, representing the 50 m displacement in the direction 45 degrees north of east. Label this line as "50 m North of East" or "NE".
Now, draw a line connecting the starting point (home) to the end point (school) using a ruler. This will represent the displacement from home to school.
Measure the length of this line using the same scale. The length of this line will represent the displacement.
Finally, label this line as "Displacement" or "Home to School".
Keep in mind that the scale you choose for the diagram largely depends on the size of the paper or space you are using. However, it is essential to ensure that the scale is consistent throughout the diagram to maintain accuracy.