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If an object is dropped from the 20th floor and after 1 second is in front of the 19th floor window, how many floors after 3 seconds?

a) 17th floor
b) 16th floor
c) 15th floor
d) 14th floor

User Tmont
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1 Answer

5 votes

Final answer:

It is not possible to provide an accurate answer among the provided choices (a) 17th floor, (b) 16th floor, (c) 15th floor, or (d) 14th floor.

Step-by-step explanation:

The question involves applying concepts of kinematics and free fall motion under the influence of gravity to determine the object's position relative to the floors of a building after a certain time has elapsed. The calculation assumes that each floor of the building is equidistant from its neighbors, and that the object is in free fall, which is a reasonable approximation assuming air resistance is negligible.

Since the object has passed one floor in the first second, we could assume a nearly uniform acceleration due to gravity, which is approximately 9.8 m/s2. However, without knowing the exact height of each floor, making an exact calculation is not possible. It is common for each floor in a modern building to be about 3 to 4 meters tall; thus, the object would likely fall multiple floors in the subsequent seconds. The object accelerates as it falls, so it will pass each successive floor more quickly than the last. Without the height of the floors provided in the question, an exact floor count in front of which the object will be located after 3 seconds cannot be determined accurately. Since this question is missing sufficient data to calculate an exact floor number, it is not possible to provide an accurate answer among the provided choices (a) 17th floor, (b) 16th floor, (c) 15th floor, or (d) 14th floor.

User Thunder
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