An object moves 9 m to the east and then moves 12 m to the north. We need to determine the distance traveled and the displacement of the object.
The distance traveled refers to the total length of the path taken by the object. In this case, we can use the Pythagorean theorem to find the distance traveled. The object has moved 9 m to the east and 12 m to the north, forming a right-angled triangle. The distance traveled is the hypotenuse of this triangle.
Using the Pythagorean theorem:
Distance = √(9^2 + 12^2) = √(81 + 144) = √225 = 15 m
Therefore, the distance traveled by the object is 15 meters.
On the other hand, the displacement refers to the straight-line distance between the initial and final positions of the object. To determine the displacement, we can draw a straight line from the starting point to the ending point and measure its length.
In this case, the object moved 9 m to the east and 12 m to the north, resulting in a displacement that forms a right-angled triangle with sides measuring 9 m and 12 m. The displacement is the length of the hypotenuse of this triangle.
Using the Pythagorean theorem:
Displacement = √(9^2 + 12^2) = √(81 + 144) = √225 = 15 m
Therefore, the displacement of the object is 15 meters.
