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.
Question : Directions: Starting from point A, an animal walked 15 m towards the East. It took a left turn and walked 25 m. Then, it took a right turn and walked 10 m. Again it took a left turn and walked 15 m. Finally, it took a left turn and walked 25 m. How far and in which direction is the animal now from the starting point A?
Option 1: 25 m, East
Option 2: 40 m, South
Option 3: 40 m, North
Option 4: 25 m, West
Question : Directions: From its nest, a bird flew 25 m towards the north-east. It then took a right turn and flew 7m. Again, it took a right turn and flew 75 m. In which direction is the bird now from its nest?
Option 1: North-East
Option 2: East
Option 3: South-West
Option 4: North-West
Question : Directions: Sanmitra walked 8 m towards the north. He turned to his right and walked 16 m, then he turned to his left and walked 5 m and again he turned to his left and walked 16 m. In which direction is he from his starting point?
Option 1: South
Option 3: North
Option 4: West
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