Questions: An airplane flying overhead drops a care package directly over Mike at rest in his Corvette. Neglecting air resistance, the package will land Select one: A. Well ahead of Mike and his Corvette. B. behind Mike. C. upon Mike and his Corvette.

An airplane flying overhead drops a care package directly over Mike at rest in his Corvette. Neglecting air resistance, the package will land Select one: A. Well ahead of Mike and his Corvette. B. behind Mike. C. upon Mike and his Corvette.
Transcript text: An airplane flying overhead drops a care package directly over Mike at rest in his Corvette. Neglecting air resistance, the package will land Select one: A. Well ahead of Mike and his Corvette. B. behind Mike. C. upon Mike and his Corvette.
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Solution

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Solution Steps

Step 1: Analyze the Initial Conditions

The airplane is flying overhead and drops a care package directly over Mike, who is at rest in his Corvette. This means that at the moment of release, the package has the same horizontal velocity as the airplane.

Step 2: Consider the Effects of Gravity

Neglecting air resistance, the only force acting on the package after it is released is gravity. This force acts vertically downward and does not affect the horizontal motion of the package.

Step 3: Apply the Principle of Independence of Motion

The horizontal and vertical motions of the package are independent. Since the package was released directly over Mike and has the same horizontal velocity as the airplane, it will continue to move horizontally at the same speed as the airplane.

Step 4: Determine the Landing Position

Since Mike is at rest and the package maintains its horizontal velocity, the package will land directly upon Mike and his Corvette, assuming no other forces act on it.

Final Answer

\(\boxed{\text{C. upon Mike and his Corvette.}}\)

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