Anobject moves from point A to point B to point C, then back to point B and then to point C along the line shown in the figure below. Find the magnitude and direction of the displacement of the object. 6km 12 km 9km

To find the magnitude and direction of the displacement of the object, we need to calculate the net change in position from the starting point (point A) to the final position (point C).<br /><br />Step 1: Calculate the total distance traveled by the object.<br />The object moves from point A to point B, then to point C, back to point B, and finally to point C. The distances between these points are given as 6 km, 12 km, and 9 km.<br /><br />Total distance traveled = 6 km + 12 km + 9 km = 27 km<br /><br />Step 2: Determine the displacement of the object.<br />Displacement is the straight-line distance between the starting point and the final position, along with the direction of that line.<br /><br />Since the object ends up at point C after completing the entire path, the displacement is simply the distance from point A to point C.<br /><br />Step 3: Calculate the magnitude of the displacement.<br />The magnitude of the displacement is the same as the total distance traveled, which is 27 km.<br /><br />Step 4: Determine the direction of the displacement.<br />The direction of the displacement is the direction from point A to point C.<br /><br />Answer: The magnitude of the displacement of the object is 27 km, and the direction is from point A to point C.