A boy walk 5m east and then 10m north calculate the distance covered and the magnitude displacement
To calculate the distance covered, we can use the concept of the Pythagorean theorem. In this case, we need to find the hypotenuse of a right triangle formed by walking 5m east and then 10m north.
Using the Pythagorean theorem, the distance covered is the square root of the sum of the squares of the two sides.
Distance covered = √(5^2 + 10^2)
Distance covered = √(25 + 100)
Distance covered = √125
Distance covered ≈ 11.18 meters
Now, let's calculate the magnitude displacement. Magnitude displacement is the shortest distance between the starting point and the final point. In this case, it is the straight line distance from the starting point to the final point.
To calculate magnitude displacement, we can once again use the Pythagorean theorem. The magnitude displacement is the hypotenuse of a right triangle formed by the starting point, the final point, and the straight line connecting them.
Magnitude displacement = √(5^2 + 10^2)
Magnitude displacement = √(25 + 100)
Magnitude displacement = √125
Magnitude displacement ≈ 11.18 meters
Therefore, both the distance covered and the magnitude displacement in this scenario are approximately 11.18 meters.