A boy most format USD entrance left by 135 degree and travels for 2 root 2 m from the retax right turn on move for above to matter after that it travels 8 m shows is under 1 meter towards not find the magnitude of displacement occur
Let's dissect the boy's movement into:
Initial Movement:
The boy travels 2√2 meters at an angle of 135 degrees.
So we can write this movement into its horizontal and vertical components:
Horizontal component: 2√2 * cos(135°) = -2 meters (to the left)
Vertical component: 2√2 * sin(135°) = 2 meters (upwards)
Second Movement:
The boy travels 8 meters to the north.
Now, let's depict this movement on a coordinate plane:.
He travels 2 meters in the left/up direction reaching the point at (-2, 2).
From this point, he travels another 8 meters up to point (-2,10)
To determine the magnitude of the displacement, we'll use Pythagorean's theorem. We have it here;
Displacement = √((-2)^2 + 10^2 ) =√(4 +100) = √104 meter
Magnitude of the Displacement for boy is; √104 meters.
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