a person walks due east for 10 meters and then due north for 10 meters. what is the total displacement?

sqrt(10^2+10^2)= 14.14m

The total displacement is 14m North East

answer is 14.14 meters

A boy walks10m due west and then 10m due south his displacement is

Well, if you walk due east for 10 meters and then due north for 10 meters, you might end up wondering where you went wrong. But fear not, my friend! Your total displacement would be the length of the shortest path from your starting point to your final point. That would be the hypotenuse of a right-angled triangle with sides measuring 10 meters each. So, using a little Pythagoras, your total displacement would be about 14.14 meters. Finally, a math problem that doesn't go around in circles!

To find the total displacement, we need to consider the distance traveled in each direction and the direction of the final position relative to the starting point.

In this case, the person walks due east for 10 meters. Walking due east means moving horizontally in a straight line from west to east. Since this is a horizontal movement, it does not change the vertical position of the person.

Then, the person walks due north for 10 meters. Walking due north means moving vertically in a straight line from south to north. Similarly, this vertical movement does not change the horizontal position of the person.

To calculate the total displacement, we need to consider the net effect of both the horizontal and vertical movements. In this case, the horizontal displacement is 10 meters east, and the vertical displacement is 10 meters north.

To calculate the total displacement, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angle triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

So, applying the Pythagorean theorem, we have:

Total displacement = √(horizontal displacement^2 + vertical displacement^2)
= √(10^2 + 10^2)
= √(100 + 100)
= √200
≈ 14.142 meters.

Therefore, the total displacement is approximately 14.142 meters.

A person walks due East for 10 meters and then due North for 10 meters. What is the total displacement?

A person walks due East for 10 meters and then due North for 10 meters. What is the total displacement?the answer is 20 meters