Final answer:
The displacement of the object is 13m with a direction of 22.6° north of east.
Step-by-step explanation:
To find the displacement of an object that moves 5m northwards and 12m eastwards, we need to use vector addition. The displacement is the vector sum of the individual displacements. We can use the Pythagorean theorem to find the magnitude of the displacement and trigonometry to determine the direction.
The magnitude of the displacement is given by sqrt(5^2 + 12^2) = 13m. The direction can be found using trigonometry. The angle θ is given by arctan(5/12) = 22.6°. Therefore, the displacement has a magnitude of 13m and a direction of 22.6° north of east.