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:Yuri Zlatsin22-Oct-2011Audit:Omer YagelJSFH114051 - Physics 1 Home Assignment #1 Spring 2011
In all the Numerical question you can simply change the values of the variables and re-execute the sheet. (Pressing the !!! button at the toolbar)
<Text-field style="Heading 1" layout="Heading 1">Question 1</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTA==What of the following can be a solution for the next differential equation 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 ?LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEiN0YnRj0tRkA2LVEifkYnRj1GQ0ZGRkhGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVkZpbi1GLDYlUSRjb3NGJy9GMEZFRj0tRjY2JC1GIzYoLUZYNiRRIjJGJ0Y9LUZANi1RJyZzZG90O0YnRj1GQ0ZGRkhGSkZMRk5GUEZobkZqbi1GLDYlUSJDRidGL0YyRmZvRjpGPUY9Rj0=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiPUYnRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkUvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVC1JI21uR0YkNiRRIjRGJ0Y9LUZANi1RIn5GJ0Y9RkNGRkZIRkpGTEZORlAvRlNRJjAuMGVtRicvRlZGaW4tRiw2JVEkc2luRicvRjBGRUY9LUY2NiQtRiM2Jy1GWDYkUSIyRidGPS1GQDYtUScmc2RvdDtGJ0Y9RkNGRkZIRkpGTEZORlBGaG5Gam4tRiw2JVEiQ0YnRi9GMkZmb0Y6Rj0=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEiNUYnRj0tRkA2LVEifkYnRj1GQ0ZGRkhGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVkZpbi1JJW1zdXBHRiQ2JS1GLDYlUSJlRidGL0YyLUYjNigtRkA2LVEqJnVtaW51czA7RidGPUZDRkZGSEZKRkxGTkZQL0ZTUSwwLjIyMjIyMjJlbUYnL0ZWRmdvLUYsNiVRIkNGJ0YvRjItRkA2LVEnJnNkb3Q7RidGPUZDRkZGSEZKRkxGTkZQRmhuRmpuRjpGL0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y9LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEiMkYnRj0tRkA2LVEifkYnRj1GQ0ZGRkhGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVkZpbi1JJW1zdXBHRiQ2JS1GLDYlUSJlRidGL0YyLUYjNictRiw2JVEiQ0YnRi9GMi1GQDYtUScmc2RvdDtGJ0Y9RkNGRkZIRkpGTEZORlBGaG5Gam5GOkYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRj0=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEiNUYnRj0tRkA2LVEifkYnRj1GQ0ZGRkhGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVkZpbi1GLDYlUSRjb3NGJy9GMEZFRj0tRjY2JC1GIzYmLUYsNiVRIkNGJ0YvRjItRkA2LVEnJnNkb3Q7RidGPUZDRkZGSEZKRkxGTkZQRmhuRmpuRjpGPUY9Rj0=
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=The solution is: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInRGJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUkjbW5HRiQ2JFEiNUYnRjktRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZVRlctRiw2JVEkY29zRicvRjBGPUY5LUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEiQ0YnRi9GMi1GNjYtUScmc2RvdDtGJ0Y5RjtGPkZARkJGREZGRkhGVUZXRk9GOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTQ==print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIidGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictSShtZmVuY2VkR0YkNiQtRiM2Iy1GLDYlUSJ0RidGL0YyRjk= = print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIidGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRidGNS1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRInRGJ0YvRjJGOQ== = print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Thus,LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Question 2</Text-field>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What distance from the axis will be the runner after LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= seconds knowing he runs according to the chart and started at the axis.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JSFHprint(); # input placeholderJSFHuse DocumentTools in
Do( %Plot1 = plot(f(t), t = 0 .. 15, color=red,labels = ["Time(s)", "Velocity(m/s)"]));
end use;
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<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>We wrote the function that the graph consists of.Now we can calculate the distance (area under the graph) using integration. We are given LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYHRfXzFgRictSSNtb0dGJDYtUSomY29sb25lcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JI21uR0YkNiRRJTEzLjVGJ0YzLUYwNi1RIjpGJ0YzRjZGOUY7Rj1GP0ZBRkNGRUZIprint(); # input placeholderJSFH
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Question 3</Text-field>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Acceleration of a rocket (flying vertically) is given by LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSIuRidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURj0= The missile is shot with initial velocity LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EnYFZfXzBgRicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn from height LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=. What is the height of the missile at 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 the gravity acceleration is already included in LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic=.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JSFHprint(); # input placeholderuse DocumentTools in
Do( %Plot2 = plot(f(t), t = 0 .. 8, color=red,labels = ["Time(s)", "Acceleration(m/s^2)"]));
end use;
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: 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print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>We know that our acceleration is represented in the graph, so we can write the acceleration function:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRImZGJ0YvRjItSShtZmVuY2VkR0YkNiQtRiM2Iy1GLDYlUSJ0RidGL0YyRjk=print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiNRJ2BWX18wYEYnLUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GVi1GNjYtUSsmSW50ZWdyYWw7RidGOUY7Rj4vRkFGMUZCL0ZFRjFGRkZIL0ZLUSYwLjBlbUYnL0ZORmhuLUYsNiVRImFGJ0YvRjItRjY2LVEwJkRpZmZlcmVudGlhbEQ7RidGOS9GPFEmdW5zZXRGJy9GP0Zhby9GQUZhby9GQ0Zhby9GRUZhby9GR0Zhby9GSUZhb0ZnbkZpbi1GLDYlUSJ0RidGL0Yyprint(); # input placeholderIntegrating the velocity and find the distance the rocket traveled, we need the distance at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiNkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIjxGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRjItRiw2JFEiOEYnRi9GLw== so we sum all the distance traveled till LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjZGJ0Y5Rjk= and add the remaining function.
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Question 4</Text-field>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print(); # input placeholderMass LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= is falling from the height of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= meters. Given gravity acceleration 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. In addition the mass has initial velocity downwards of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EnYFZfXzBgRicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn.How long will last the fall?knowing that: 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
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>Knowing that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdGQC8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkAvJS5tb3ZhYmxlbGltaXRzR0ZALyUnYWNjZW50R0ZALyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGT0Y5Rjw=and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EnYFZfXzBgRicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn face down we use the formula: 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(); # input placeholderLUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi9RJyZyYXJyO0YnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lMGZvbnRfc3R5bGVfbmFtZUdRKDJEfk1hdGhGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSi1JJm10ZXh0R0YkNiZRLHNvbHZlfmZvcn50RidGL0YyRjVGRg==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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Obviously time cant be negative Thus, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjRGJ0Y5Rjk=JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Question 5</Text-field>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An object is moving along the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= axis. It's acceleration is 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GV0Y5the speed of the object was LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EnYFZfXzBgRicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn in the positive direction of th LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= axis and it's location was LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EnYHhfXzBgRicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn.What is the speed of the object at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYjUSdgdF9fMGBGJ0Y5?JSFHGiven: Qyw+SSJrRzYiLCQqJi1JJVVuaXRHRiU2Iy5JIm1HRiUiIiItRik2Iy5JInNHRiUhIiQiI0khIiI+SSJiR0YlLCQqJkYoRi1GLiEiIyIjOUY0PkklVl9fMEdGJSwkKiZGKEYtRi5GNCIiJUY0PkkleF9fMEdGJSwkRigiIiZGND5JJXRfXzBHRiUsJEYuIiIjRjQ=JSFHprint(); # input placeholder
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>Our acceleration is given by: PkkiYUc2IiwmKiZJImtHRiQiIiJJInRHRiRGKCEiIkkiYkdGJEYo= print(); # input placeholderand the velocity is the integration of the acceleration:Pkkidkc2Ii1JJGludEdGJDYkSSJhR0YkSSJ0R0Yk = print(); # input placeholderJSFHSo at the moment our velocity must be L0klVl9fMEc2IiwmSSJ2R0YkIiIiSSVDX192R0YkRic=print(); # input placeholderWe see that at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= we get JSFHLUklZXZhbEclKnByb3RlY3RlZEc2JC8sJComLUklVW5pdEc2JC9JK21vZHVsZW5hbWVHNiJJJlVuaXRzRzYkRiRJKF9zeXNsaWJHRi5GJDYjLkkibUdGLiIiIi1GKjYjLkkic0dGLiEiIiIiJSwoKihGKUY1RjYhIiRJInRHRi4iIiMhIzoqKEYpRjVGNiEiI0Y/RjUiIzlJJUNfX3ZHRi5GNS9GPyIiIQ==print(); # input placeholderNow we seek for a general velocity expressionLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=and our expression is: PkkiVkc2Ii1JJWV2YWxHJSpwcm90ZWN0ZWRHNiQtSSRyaHNHRic2Iy8sJComLUklVW5pdEc2JC9JK21vZHVsZW5hbWVHRiRJJlVuaXRzRzYkRidJKF9zeXNsaWJHRiRGJzYjLkkibUdGJCIiIi1GMDYjLkkic0dGJCEiIiIiJSwoKihGL0Y6RjshIiRJInRHRiQiIiMhIzoqKEYvRjpGOyEiI0ZERjoiIzlJJUNfX3ZHRiRGOi8tRio2Iy9GLUZKLUkkbGhzR0YnRk0=print(); # input placeholder
thus, at JSFHL0kldF9fMEc2IiIiIw== we find that the velocity is: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklc3Vic0clKnByb3RlY3RlZEc2JC9JInRHNiJJJXRfXzBHRihJIlZHRig=print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
What is the location of the object on the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= axis at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYjUSdgdF9fMGBGJ0Y5
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>JSFHDistance can found by integrating the velocity.Knowing that, we findPkkieEc2Ii1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYkSSJWR0YkSSJ0R0Yk = print(); # input placeholderSo the distance must be L0kleF9fMEc2IiwmSSJ4R0YkIiIiSSVDX194R0YkRic=print(); # input placeholderand at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= we get LUklZXZhbEclKnByb3RlY3RlZEc2JC8sJC1JJVVuaXRHNiQvSSttb2R1bGVuYW1lRzYiSSZVbml0c0c2JEYkSShfc3lzbGliR0YtRiQ2Iy5JIm1HRi0iIiYsKiooRigiIiItRik2Iy5JInNHRi0hIiRJInRHRi0iIiQhIiYqKEYoRjdGOCEiI0Y9IiIjIiIoKihGKEY3RjghIiJGPUY3IiIlSSVDX194R0YtRjcvRj0iIiE=print(); # input placeholderThus the distance expression is PkkiWEc2IiwmSSJ4R0YkIiIiLUkkbGhzRyUqcHJvdGVjdGVkRzYjLywkLUklVW5pdEc2JC9JK21vZHVsZW5hbWVHRiRJJlVuaXRzRzYkRipJKF9zeXNsaWJHRiRGKjYjLkkibUdGJCIiJkklQ19feEdGJEYnprint(); # input placeholder
and at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYHRfXzBgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIyRidGM0Yz the distance is LUklc3Vic0clKnByb3RlY3RlZEc2JC9JInRHNiJJJXRfXzBHRihJIlhHRig=print(); # input placeholderanswer: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNigtRjU2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YvL0krbXNlbWFudGljc0dGJFElVW5pdEYnLyUlb3BlbkdRKCZsb2JyaztGJy8lJmNsb3NlR1EoJnJvYnJrO0YnRkNGL0Y0Ri8=