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Physics / Physics: Principles with Applications 6 / Chapter 2 / Problem 84GP

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Two students are asked to find the height of a particular building using a barometer

Chapter 2, Problem 84GP

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QUESTION:

Problem 84GP

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. How much difference does the 0.3 s make for the estimates of the building’s height?

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QUESTION:

Problem 84GP

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. How much difference does the 0.3 s make for the estimates of the building’s height?

ANSWER:

Solution 84 GP

Step 1 of 3

We have to find how much difference does the 0.3 s make for the estimates of the building’s height.

The building's height can be estimated by using the kinematic equation,

$x={x}_{o}+{v}_{o}t+\frac{1}{2}a{t}^{2}$

Here, downward direction is taken as positive and $x=y$ and ${x}_{o}={y}_{o}$

$\Rightarrow{}$ $y={y}_{o}+{v}_{o}t+\frac{1}{2}a{t}^{2}$

Where,

${v}_{o}=$ initial velocity = 0 m/s2

$a=g=9$ .8 m/s2

$y=$ Height of the building in m

$t=$ time reported by the student in s

${y}_{o}=$ 0 m

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