Consider a map oriented sot hat the x axis runs east-west (with east being "positive" direction) and y runs north-south (with north "positive"). A person drives 35 km to the west, then turns and drives 44 km to the south. Find the x and y components of the total movement of the person.
(-35,-44)
To find the x and y components of the total movement, we need to break down the distance traveled into its east-west (x) and north-south (y) components.
Given that the person drives 35 km to the west and then turns and drives 44 km to the south, we can assign the following values:
Westward movement: -35 km (negative, since it's to the west)
Southward movement: -44 km (negative, since it's to the south)
Now, let's calculate the x and y components:
x component: To calculate the x component, we need to consider only the east-west movement. Since the person moves to the west (-35 km), the x component of the movement is simply -35 km. This means that the person moves 35 km to the west in the negative x direction.
y component: To calculate the y component, we need to consider only the north-south movement. Since the person moves to the south (-44 km), the y component of the movement is -44 km. This means that the person moves 44 km to the south in the negative y direction.
Therefore, the x component of the total movement is -35 km and the y component of the total movement is -44 km.