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A plane flying horizontally at 377 m/s releases a package at an altitude of 15,770 m. How long will the package take to reach the ground?

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Final answer:

The package will take 0 seconds to reach the ground.

Step-by-step explanation:

To find the time it takes for the package to reach the ground, we need to determine the vertical distance it travels and then use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

In this case, the package is falling freely under the influence of gravity, so the acceleration is equal to the acceleration due to gravity, which is approximately 9.8 m/s^2. The initial velocity in the vertical direction is 0 m/s because the package is released from rest, and the final velocity is also 0 m/s when the package hits the ground.

We can use the equation v = u + at to solve for time. Since v = 0 m/s, u = 0 m/s, and a = -9.8 m/s^2, we have 0 = 0 + (-9.8)t. Solving for t, we get t = 0.

Therefore, it will take 0 seconds for the package to reach the ground.

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