Johnny walked to the other side of his building using the following steps: 10 meters North, 20 meters to the West, 40 meters Sou
1 answer:
<u>Answer: </u>
Distance traveled = 70 meters
Displacement = 36.06 meters
<u>Explanation: </u>
Let north be positive Y and east be positive X
10 meters north, displacement = 10 j meters
20 meters west, displacement = -20 i meters
40 meters south, displacement = -40 j meters
Total displacement = (10 j - 20 i – 40 j) meters = (- 20 i - 30 j) meters
Magnitude of displacement =
Distance traveled = 10+20+40 = 70 meters
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Right, as you mentioned in the comments, you find by plugging in the different values of
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D. distance = 23 m, displacement = + 1 m
Explanation:
Let's remind the difference between distance and displacement:
- distance is a scalar, and is the total length covered by an object, counting all the movements in any direction
- displacement is a vector connecting the starting point and the final point of a motion, so its magnitude is given by the length of this vector, and its direction is given by the direction of this vector.
In this case, the distance covered by Karen is given by the sum of all its movements:
The displacement instead is given by the difference between the final point (1.0 m in front of the starting line) and the starting point (the starting line, 0 m):