if a body moves 3m north,then 4m East and finally 6m South.what will be the displacement?
To find the displacement, we need to calculate the net distance and direction from the starting point to the final position.
Given:
Distance moved north = 3m
Distance moved east = 4m
Distance moved south = 6m
To calculate displacement, we can use the Pythagorean theorem to find the net distance and then determine the direction using trigonometry.
Step 1: Calculate the horizontal displacement (distance moved east minus distance moved west)
Horizontal displacement = 4m - 0m (since no west movement was specified)
Horizontal displacement = 4m
Step 2: Calculate the vertical displacement (distance moved north minus distance moved south)
Vertical displacement = 3m - 6m
Vertical displacement = -3m
Note: Negative displacement indicates movement in the opposite direction (south in this case).
Step 3: Calculate the net displacement using the horizontal and vertical displacement values
Net displacement = √(horizontal displacement^2 + vertical displacement^2)
Net displacement = √(4m^2 + (-3m)^2)
Net displacement = √(16m^2 + 9m^2)
Net displacement = √(25m^2)
Net displacement = 5m
So, the displacement of the body is 5 meters.
To find the displacement, we need to calculate the net distance and direction from the starting point to the final position of the object.
Step 1: Draw a diagram or visualize the movement of the body.
- The body initially moves 3m north.
- Then, it moves 4m east, perpendicular to the first direction.
- Finally, it moves 6m south, opposite to the initial direction.
Step 2: Break down the movements into their respective components.
- North (upward) movement: +3m in the y-axis.
- East (rightward) movement: +4m in the x-axis.
- South (downward) movement: -6m in the y-axis.
Step 3: Calculate the net displacement.
- Calculate the displacement in the x-axis: +4m (eastward movement).
- Calculate the displacement in the y-axis: +3m (northward) - 6m (southward) = -3m (net southward movement).
Step 4: Combine the displacements in the x and y-axes.
- Net displacement = (+4m, -3m).
- So, the body's displacement is 4m eastward and 3m southward.
Therefore, the displacement of the body is 4m east and 3m south.
looks like 3mS, and 4mE
displacement= 5m