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1) Distance: 44 blocks
2) Displacement: 10.2 blocks at north of east
Explanation:
1)
- Distance is a scalar quantity that gives a measure of the total length of the path travelled by an object, regardless of its direction
- Displacement is a vector quantity which connects the initial position to the final position of motion of the object. Being a vector, it has both magnitude and direction: the magnitude is the shortest distance between initial and final position, while the direction goes from the initial to the final position.
In this problem, the motion is:
18 blocks north
10 blocks east
16 blocks south
So, the distance is the sum of the distances covered in each part:
distance = 18 + 10 + 16 = 44 blocks
2)
The displacement can be calculated by evaluating the initial and the final position. Along the north-south direction, the displacement is
blocks north
Along the east-west direction,
blocks east)
So, the magnitude of the displacement is given by Pythagorean's theorem
blocks
And the direction is given by
measured as north of east.
Learn more about distance and displacement:
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