A girl delivering newspapers travels 4 blocks
west, 6 blocks north, then 6 blocks east.
What is the magnitude of her resultant displacement?
Answer in units of blocks.
D = -4 + 6i + 6 = 2 + 6i.
D^2 = 2^2 + 6^2 = 40, d = 6.32 Blocks.
To find the magnitude of the resultant displacement, we need to calculate the distance between the starting point and the ending point of the motion.
Let's break down the problem step by step:
1. The girl delivers newspapers by traveling 4 blocks west. This means she moves to the left side by 4 blocks.
2. After that, she travels 6 blocks north. This means she moves upward by 6 blocks.
3. Finally, she changes direction and travels 6 blocks east. This means she moves to the right side by 6 blocks.
Now we need to visualize the motion to determine the resultant displacement.
Starting from the original position, the 4 blocks west and the 6 blocks east cancel each other out, as the girl ends up neither to the left nor right of the starting point. Thus, the horizontal displacement is zero.
However, the 6 blocks north contribute to the vertical displacement. As there are no opposing displacements in that direction, we can take the magnitude of the vertical displacement as it is, which is 6 blocks.
Therefore, the magnitude of the resultant displacement is 6 blocks.
Note: Magnitude refers to the numerical value of a vector without considering its direction.