High School

Where does the package strike the ground relative to the point directly below where it was released?

A. 193 m to the left
B. 193 m to the right
C. 193 m above
D. 193 m below

Answer :

Final Answer:

The package falls freely due to gravity, and the vertical displacement is below the release point, making it 193 meters below. Thus the correct option is D) 193 m below.

Explanation:

When an object is released and falls freely under the influence of gravity, it undergoes vertical motion. In this scenario, we can use the equations of motion to determine where the package strikes the ground relative to the point directly below where it was released.

The key information needed here is that the package is falling freely. When an object is in free fall, it experiences constant acceleration due to gravity, which is approximately 9.8 m/s² on Earth. In this case, the package is released from a certain height, and we need to find the vertical displacement from that point.

We can use the following equation to calculate the vertical displacement (distance below the release point) when an object is in free fall:

[tex]\[d = \frac{1}{2} \cdot g \cdot t^2\][/tex]

Where:

- (d) is the vertical displacement

- (g) is the acceleration due to gravity (approximately 9.8 m/s²)

- (t) is the time of fall

Since we have no information about the time of fall in the question, we can safely assume that the package falls for some time and then strikes the ground. In this case, the vertical displacement will be positive, indicating that the package has fallen below the release point. So, the correct answer is D) 193 m below. Thus the correct option is D) 193 m below.

Learn more about: gravity

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