Answer:
The distance traveled by the truck is 2 blocks.
The displacement of the truck is 2 blocks north.
Step-by-step explanation:
To find the distance and displacement of the delivery truck's journey, we can use the Pythagorean theorem to calculate the distance and vector addition for displacement.
First, let's calculate the distance:
The truck travels 18 blocks north, 10 blocks east, and 16 blocks south. Since blocks are of the same length, we can ignore the east-west movement since it cancels out. The truck moves a net distance of 18 blocks north and 16 blocks south.
Distance = North - South = 18 - 16 = 2 blocks
So, the distance traveled by the truck is 2 blocks.
Now, let's calculate the displacement:
Displacement is the shortest distance between the initial and final positions, considering both magnitude and direction. To calculate this, we'll use vector addition.
The truck goes 18 blocks north, which we can represent as +18 in the north direction.
The truck goes 16 blocks south, which we can represent as -16 in the north direction.
Now, add these vectors together:
Displacement = 18 (north) - 16 (south) = 18 - 16 = 2 blocks (north)
So, the displacement of the truck is 2 blocks north.