<description/> <author> CEE</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy> CEE</revisedBy> </userData> <identityInfo> <revision>4</revision> <documentID>1CDA2792-FE12-4A4B-94F6-8CE51DFF822C</documentID> <versionID>65877839-44A9-4B7D-9009-16B3CCC9324C</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" 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</calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="244" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="179" left="18" top="8.25" width="66.75" height="20.25" align-x="30" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="18">PART 1:</f> </text> </region> <region region-id="162" left="18" top="32.25" width="52.5" height="33.75" align-x="29.25" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ρ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kg</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="163" left="18" top="63" width="78.75" height="12.75" align-x="57.75" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">diameter</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.429</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="164" left="246" top="92.25" width="113.25" height="12" align-x="255" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Area of orifices and LFOM </text> </region> <region region-id="165" left="18" top="86.25" width="174" height="33.75" align-x="40.5" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">area</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">diameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.00016038152509822889</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="166" left="246" top="128.25" width="73.5" height="12" align-x="260.25" align-y="138" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Volume of LFOM </text> </region> <region region-id="167" left="18" top="129" width="154.5" height="18.75" align-x="53.25" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">volume</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">area</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.001603815250982289</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="207" left="246" top="152.25" width="192.75" height="24" align-x="256.5" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Mass of water traveling through 1 orifice for 1 cm depth of water. </text> </region> <region region-id="208" left="18" top="153" width="152.25" height="18.75" align-x="44.25" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">mass</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">volume</ml:id> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.001603815250982289</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="170" left="18" top="183" width="45.75" height="12.75" align-x="26.25" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:real>2</ml:real> </ml:sequence> <ml:real>20</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="171" left="246" top="182.25" width="57.75" height="12" align-x="246.75" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> i is our vector </text> </region> <region region-id="172" left="18" top="207" width="37.5" height="12.75" align-x="29.25" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="173" left="246" top="206.25" width="158.25" height="12" align-x="248.25" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> h is a unit correction for our equation </text> </region> <region region-id="174" left="18" top="235.5" width="78.75" height="19.5" align-x="59.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Velocity</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="175" left="240" top="236.25" width="190.5" height="24" align-x="255" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Entrance velocity of water through orifices in LFAM Equation </text> </region> <region region-id="176" left="18" top="267" width="59.25" height="211.5" align-x="35.25" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Velocity</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="11" cols="1"> <ml:real>0</ml:real> <ml:real>0.62631142413339391</ml:real> <ml:real>0.88573811027865346</ml:real> <ml:real>1.0848032079598584</ml:real> <ml:real>1.2526228482667878</ml:real> <ml:real>1.400474919446971</ml:real> <ml:real>1.5341434092026729</ml:real> <ml:real>1.6570642715356576</ml:real> <ml:real>1.7714762205573069</ml:real> <ml:real>1.8789342724001816</ml:real> <ml:real>1.9805706248452741</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="9"/> </resultFormat> </math> <rendering item-idref="10"/> </region> <region region-id="177" left="234" top="338.25" width="193.5" height="24" align-x="249.75" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Velocity of water going through orifices at varying heights </text> </region> <region region-id="221" left="18" top="476.25" width="72" height="20.25" align-x="30" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="18">PART 2: </f> </text> </region> <region region-id="218" left="216" top="512.25" width="102.75" height="12" align-x="228.75" align-y="522" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> j is our vector of heights </text> </region> <region region-id="196" left="18" top="519" width="51" height="12.75" align-x="27" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:sequence> <ml:real>23</ml:real> <ml:real>21</ml:real> </ml:sequence> <ml:real>3</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="195" left="18" top="537" width="34.5" height="12.75" align-x="29.25" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">d</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="217" left="210" top="536.25" width="158.25" height="12" align-x="212.25" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> d is a unit correction for our equation </text> </region> <region region-id="190" left="18" top="552.75" width="66.75" height="29.25" align-x="46.5" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Time</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">d</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="216" left="210" top="560.25" width="225.75" height="24" align-x="219" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Time neccesary for water to fall into bucket, ignoring drag forces </text> </region> <region region-id="204" left="18" top="597" width="54" height="204.75" align-x="28.5" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> 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<region region-id="214" left="216" top="644.25" width="213" height="24" align-x="227.25" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Times neccesary for water to fall into bucket from varying heights ignoring drag forces </text> </region> <region region-id="225" left="12" top="824.25" width="72" height="20.25" align-x="12" align-y="840" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="18">PART 3: </f> </text> </region> <region region-id="243" left="192" top="938.25" width="247.5" height="24" align-x="209.25" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Distance calculated by multiplying the time and velocity vectors </text> </region> <region region-id="244" left="18" top="862.5" width="93" height="177.75" align-x="59.25" align-y="954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Distance</ml:id> <ml:apply> <ml:mult/> <ml:matrix rows="11" cols="1"> <ml:real>0</ml:real> <ml:real>0.136</ml:real> <ml:real>0.192</ml:real> <ml:real>0.235</ml:real> <ml:real>0.271</ml:real> <ml:real>0.303</ml:real> <ml:real>0.332</ml:real> <ml:real>0.359</ml:real> <ml:real>0.384</ml:real> <ml:real>0.407</ml:real> <ml:real>0.429</ml:real> </ml:matrix> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAtCAYAAAATHR0dAAAAAXNSR0IArs4c6QAAAARnQU1B 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<text use-page-width="false" push-down="false" lock-width="false"> Mass of water traveling through 1 orifice for 1 cm depth of water. </text> </region> <region region-id="208" left="18" top="153" width="152.25" height="18.75" align-x="44.25" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">mass</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">volume</ml:id> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.001603815250982289</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="5"/> </region> <region 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="173" left="246" top="206.25" width="158.25" height="12" align-x="248.25" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> h is a unit correction for our equation </text> </region> <region region-id="174" left="18" top="235.5" width="78.75" height="19.5" align-x="59.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Velocity</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="175" left="240" top="236.25" width="190.5" height="24" align-x="255" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Entrance velocity of water through orifices in LFAM Equation </text> </region> <region region-id="176" left="18" top="267" width="59.25" height="211.5" align-x="35.25" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Velocity</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="11" cols="1"> <ml:real>0</ml:real> <ml:real>0.62631142413339391</ml:real> <ml:real>0.88573811027865346</ml:real> <ml:real>1.0848032079598584</ml:real> <ml:real>1.2526228482667878</ml:real> <ml:real>1.400474919446971</ml:real> <ml:real>1.5341434092026729</ml:real> <ml:real>1.6570642715356576</ml:real> <ml:real>1.7714762205573069</ml:real> <ml:real>1.8789342724001816</ml:real> <ml:real>1.9805706248452741</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="9"/> </resultFormat> </math> <rendering item-idref="10"/> </region> <region region-id="177" left="234" top="338.25" width="193.5" height="24" align-x="249.75" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Velocity of water going through orifices at varying heights </text> </region> <region region-id="221" left="18" top="476.25" width="72" height="20.25" align-x="30" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="18">PART 2: </f> </text> </region> <region region-id="218" left="216" top="512.25" width="102.75" height="12" align-x="228.75" align-y="522" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> j is our vector of heights </text> </region> <region region-id="196" left="18" top="519" width="51" height="12.75" align-x="27" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:sequence> <ml:real>23</ml:real> <ml:real>21</ml:real> </ml:sequence> <ml:real>3</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="195" left="18" top="537" width="34.5" height="12.75" align-x="29.25" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">d</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="217" left="210" top="536.25" width="158.25" height="12" align-x="212.25" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> d is a unit correction for our equation </text> </region> <region region-id="190" left="18" top="552.75" width="66.75" height="29.25" align-x="46.5" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Time</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">d</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="216" left="210" top="560.25" width="225.75" height="24" align-x="219" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Time neccesary for water to fall into bucket, ignoring drag forces </text> </region> <region region-id="204" left="18" top="597" width="54" height="204.75" align-x="28.5" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Time</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="11" cols="1"> <ml:real>0.21658011403862706</ml:real> <ml:real>0.20694946471318304</ml:real> <ml:real>0.19684820571486364</ml:real> <ml:real>0.18619976165733823</ml:real> <ml:real>0.17490422061613564</ml:real> <ml:real>0.16282696809013592</ml:real> <ml:real>0.14977902618696123</ml:real> <ml:real>0.13548022672553625</ml:real> <ml:real>0.11948232916080519</ml:real> <ml:real>0.1009809988551276</ml:real> <ml:real>0.07821954536985988</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="14"/> </resultFormat> </math> <rendering item-idref="15"/> </region> <region region-id="214" left="216" top="644.25" width="213" height="24" align-x="227.25" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Times neccesary for water to fall into bucket from varying heights ignoring drag forces </text> </region> <region region-id="225" left="12" top="824.25" width="72" height="20.25" align-x="12" align-y="840" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="18">PART 3: </f> </text> </region> <region region-id="243" left="192" top="938.25" width="247.5" height="24" align-x="209.25" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Distance calculated by multiplying the time and velocity vectors </text> </region> <region region-id="244" left="18" top="862.5" width="93" height="177.75" align-x="59.25" align-y="954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Distance</ml:id> <ml:apply> <ml:mult/> <ml:matrix rows="11" cols="1"> <ml:real>0</ml:real> <ml:real>0.136</ml:real> <ml:real>0.192</ml:real> <ml:real>0.235</ml:real> <ml:real>0.271</ml:real> <ml:real>0.303</ml:real> <ml:real>0.332</ml:real> <ml:real>0.359</ml:real> <ml:real>0.384</ml:real> <ml:real>0.407</ml:real> <ml:real>0.429</ml:real> </ml:matrix> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAtCAYAAAATHR0dAAAAAXNSR0IArs4c6QAAAARnQU1B 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