Solution: Two students are asked to find the height of a

Chapter 2, Problem 77GP

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QUESTION:

Two students are asked to find the height of a particular building using a barometer. Instead of using the barometer as an altitude measuring device, they take it to the roof of the building and drop it off, timing its fall. One student reports a fall time of 2.0 s, and the other, 2.3 s. What % difference does the 0.3 s make for the estimates of the building’s height?

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QUESTION:

Two students are asked to find the height of a particular building using a barometer. Instead of using the barometer as an altitude measuring device, they take it to the roof of the building and drop it off, timing its fall. One student reports a fall time of 2.0 s, and the other, 2.3 s. What % difference does the 0.3 s make for the estimates of the building’s height?

ANSWER:

Step 1 of 2

Time taken by first barometer to fall from the top of building :

Time taken by second barometer to fall from the top of building :

We will calculate the distance measured by the first and second student and compare both.

Using Newton’s second equation of motion,

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