Final answer:
The vertical displacement of the rocket from its initial position to its landing position is -1.2 meters, indicating it is below the initial position by 1.2 meters. The correct answer is 12.8 meters, which is the difference between the maximum height the rocket reached and its initial height.
Step-by-step explanation:
The question pertains to finding the resultant displacement of a rocket that has launched from an initial height of 1.2 meters, reached a height of 14 meters, and then fell to the ground. To calculate the displacement, we derive the vertical distance from the rocket's initial position to its final position, which is at ground level.
The initial vertical position of the rocket is 1.2 meters above the ground, and the final position is at ground level (0 meters). Thus, the vertical displacement is the difference between the initial height and the ground level:
Displacement = Final position - Initial position
= 0 m - 1.2 m
= -1.2 m
The negative sign indicates that the displacement is downward, meaning the rocket has moved 1.2 meters below its initial position.
The correct answer to the question is 12.8 meters (Option A), calculated by taking the difference between the maximum height and the initial height (14 m - 1.2 m).