Final answer:
The position of the airplane when the object is released is the same as when the object hits the ground. Therefore, the correct answer is c. 200 meters.
Step-by-step explanation:
The student is dealing with a problem in the field of physics, specifically a scenario involving projectile motion.
Considering the object is dropped from a height while the airplane is traveling horizontally at a constant speed, we'll need to apply principles of free-fall and uniform motion to solve for the position of the airplane when the object is released.
The key parameters needed to determine this are the horizontal speed of the airplane and the height from which the object is dropped.
When an object is dropped from a height, it falls vertically downwards due to gravity. The horizontal velocity of the airplane does not affect the vertical motion of the object. Therefore, the position of the airplane when the object is released is the same as when the object hits the ground. So, the answer is c. 200 meters.