A girl delivering newspapers travels 3 blocks west, 4 blocks north, then 6 blocks east.
What is her resultant displacement?
what is the total distance that she travelled?
and how do I graph this??
does anyone know a way to graph this? I know I'm suppose to use arrows..
A girl delivering newspapers travels 3 blocks west, 4 blocks north, then 6 blocks east.
What is her resultant displacement?
what is the total distance that she travelled?
Does anyone know a way to graph this?
a. Disp. = -3 + 4i + 6 = 3 + 4i = 5 Blks[53.1o].
b. d = 3 + 4 + 6 = 13Blks.
c. 1. Draw an arrow pointing West.
2. Draw an arrow pointing North.
3. Draw an arrow pointing east.
4. The tail of each arrow should connect to the head of the preceeding arrow.
5. Label the arrows 3, 4, and 6 Blocks, respectively.
To find the resultant displacement, we need to determine the net change in position of the girl after delivering the newspapers.
First, let's determine her displacement in the east-west direction. Since she travels 3 blocks west and then 6 blocks east, her displacement in the east-west direction will be 6 blocks - 3 blocks = 3 blocks east.
Next, let's find her displacement in the north-south direction. She travels 4 blocks north, which means her displacement in the north-south direction is 4 blocks.
To find the resultant displacement, we can use the Pythagorean theorem because the east-west and north-south displacements form a right triangle. Therefore, applying the Pythagorean theorem:
Resultant displacement = √((east-west displacement)^2 + (north-south displacement)^2)
= √((3 blocks)^2 + (4 blocks)^2)
= √(9 blocks + 16 blocks)
= √25
= 5 blocks.
So, her resultant displacement is 5 blocks.
To determine the total distance she traveled, we need to add up the distances she traveled in each direction.
Total distance = east-west distance + north-south distance + east-west distance
= (3 blocks + 6 blocks) + 4 blocks + (3 blocks + 6 blocks)
= 9 blocks + 4 blocks + 9 blocks
= 22 blocks.
Therefore, the girl traveled a total distance of 22 blocks.
To graph this on a coordinate plane, you can plot each block as a unit on the respective axis. Start at the origin (0,0) and move 3 units to the left on the x-axis, then move 4 units up on the y-axis. Finally, move 6 units to the right on the x-axis. The final point you reach is the position after delivering the newspapers. To represent the resultant displacement, draw a straight line from the starting point to the final point.