Problem 47420. Falling on the Moon.

Created by Daniele Certini

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>A stone of mass </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>m = 1kg</w:t></w:r></w:customXml><w:r><w:t> is dropped on the moon from a height </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h</w:t></w:r></w:customXml><w:r><w:t>. Given a gravity force </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>g = 1.62 m/s^2</w:t></w:r></w:customXml><w:r><w:t> , find the time </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>t</w:t></w:r></w:customXml><w:r><w:t> it takes to reach the ground.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 41.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 331.5px 20.8px; transform-origin: 331.5px 20.8px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 308.5px 20.8px; text-align: left; transform-origin: 308.5px 20.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">A stone of mass </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="53.5" height="18" style="width: 53.5px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is dropped on the moon from a height </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">h</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">. Given a gravity force </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="84.5" height="18.5" style="width: 84.5px; height: 18.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> , find the time </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">t</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> it takes to reach the ground.</span></span></div></div></div>

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82 Solutions
39 Solvers

Last Solution submitted on Aug 15, 2023

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4 Comments

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Rafael S.T. Vieira on 7 Nov 2020

please fix, your test suite. For instance
h = 1.5;
y_correct = 1;
assert(isequal(your_fcn_name(x),y_correct = 1.3608))

Should be
h = 1.5;
y_correct = 1;
assert(isequal(your_fcn_name(x),1.3608))

埃博拉酱 on 8 Nov 2020

Please ensure that you have offered a valid reference solution that can pass your test suites before publishing the problem. Be responsible, thank you.

埃博拉酱 on 8 Nov 2020

A fileread hack is the most convenient solution we impose to irresponsible problems, but I'd like to pay you some patience since it's the first time you create a problem.

Rafael S.T. Vieira on 8 Nov 2020

Thank you, Daniele.

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