No, Kenneth is not correct. Displacement is a vector quantity that refers to "how far out of place an object is" in the final position from its initial position; it is the object's overall change in position.

Kenneth's movement forms a right-angled triangle. He moves 8 km east and then 6 km north. To find the displacement, we need to find the hypotenuse of this right-angled triangle.

We can use the Pythagorean theorem to calculate this, which is a² + b² = c². Here, a and b are the two sides of the right angle, and c is the hypotenuse.

So, the displacement (c) can be calculated as follows:

c = √(a² + b²)
c = √((8 km)² + (6 km)²)
c = √(64 km² + 36 km²)
c = √100 km²
c = 10 km

So, Kenneth's displacement from his starting point is 10 km, not 14 km.

Question

No, Kenneth is not correct. Displacement is a vector quantity that refers to "how far out of place an object is" in the final position from its initial position; it is the object's overall change in position.

Kenneth's movement forms a right-angled triangle. He moves 8 km east and then 6 km north. To find the displacement, we need to find the hypotenuse of this right-angled triangle.

We can use the Pythagorean theorem to calculate this, which is a² + b² = c². Here, a and b are the two sides of the right angle, and c is the hypotenuse.

So, the displacement (c) can be calculated as follows:

c = √(a² + b²)
c = √((8 km)² + (6 km)²)
c = √(64 km² + 36 km²)
c = √100 km²
c = 10 km

So, Kenneth's displacement from his starting point is 10 km, not 14 km.

Knowee AI · Accepted Answer

No, Kenneth is not correct. Displacement is a vector quantity that refers to "how far out of place an object is" in the final position from its initial position; it is the object's overall change in position.

Kenneth's movement forms a right-angled triangle. He moves 8 km east and then 6 km north. To find the displacement, we need to find the hypotenuse of this right-angled triangle.

We can use the Pythagorean theorem to calculate this, which is a² + b² = c². Here, a and b are the two sides of the right angle, and c is the hypotenuse.

So, the displacement (c) can be calculated as follows:

c = √(a² + b²)
c = √((8 km)² + (6 km)²)
c = √(64 km² + 36 km²)
c = √100 km²
c = 10 km

So, Kenneth's displacement from his starting point is 10 km, not 14 km.

Kenneth, having just purchased a new pair of sneakers, decides to go for a walk. He travels 8 km east and then 6 km north. He claims that from his starting point, his displacement is 14 km. Is he correct?

Question

Solution

Similar Questions

Upgrade your grade with Knowee