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{"name": "Mechanics: velocity to position", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "name": "Mechanics: velocity to position", "ungrouped_variables": ["a1", "b1", "x11", "x12", "ar1", "a2", "c2", "x22", "x21", "ar21", "ar22", "a3", "b3", "x31", "x32", "ar31", "ar32", "a4", "b4", "c4", "x41", "x42", "ar41", "ar42"], "metadata": {"description": "<p>Q1. True/false questions about basic facts.</p>\n<p>Q2 and Q3. Velocity-time graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, changes in position, distances are to be calculated.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"css": "", "js": ""}, "functions": {"plotgraph": {"definition": "// Shading under a graph! 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[[0]]</p>\n<p>What is the&nbsp;total distance travelled from&nbsp;$t=\\var{x21}$ to $t=\\var{x22+2}$? [[1]]</p>\n<p></p>", "unitTests": [], "showCorrectAnswer": true, "scripts": {}, "showFeedbackIcon": true, "customName": "", "sortAnswers": false, "marks": 0, "adaptiveMarkingPenalty": 0, "useCustomName": false, "customMarkingAlgorithm": ""}, {"variableReplacements": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "gaps": [{"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showFractionHint": true, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "adaptiveMarkingPenalty": 0, "useCustomName": false, "correctAnswerFraction": false, "allowFractions": false, "minValue": "{ar31+ar32}", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "unitTests": [], "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{ar31+ar32}", "marks": "1", "mustBeReduced": false}, {"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showFractionHint": true, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "adaptiveMarkingPenalty": 0, "useCustomName": false, "correctAnswerFraction": false, "allowFractions": false, "minValue": "{-ar31}", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "unitTests": [], "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{-ar31}", "marks": "1", "mustBeReduced": false}, {"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showFractionHint": true, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "adaptiveMarkingPenalty": 0, "useCustomName": false, "correctAnswerFraction": false, "allowFractions": false, "minValue": "{ar32-ar31}", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "unitTests": [], "mustBeReducedPC": 0, "customName": "", "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "{ar32-ar31}", "marks": "1", "mustBeReduced": false}], "prompt": "<p>{plotgraph(3,x31,x32,-3,7,a3,b3,0)}</p>\n<p></p>\n<p>This is a velocity-time graph of a particle.&nbsp;</p>\n<p>The area of the&nbsp;left shaded region is $\\var{ar31}$. The area of the right shaded region is $\\var{ar32}$.</p>\n<p>What is the total <em></em>distance&nbsp;travelled by the particle between&nbsp;$t=\\var{x31}$ and&nbsp;$t=\\var{x32+2}$? [[0]]</p>\n<p>What is the change in position from $t=\\var{x31}$ to $t=\\var{x32}$? [[1]]</p>\n<p>What is the change in position from $t=\\var{x31}$ to $t=\\var{x32+2}$?[[2]]</p>\n<p></p>", "unitTests": [], "showCorrectAnswer": true, "scripts": {}, "showFeedbackIcon": true, "customName": "", "sortAnswers": false, "marks": 0, "adaptiveMarkingPenalty": 0, "useCustomName": false, "customMarkingAlgorithm": ""}], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "<p>See Lecture 13.3 and Workshop 13.5.</p>\n<p></p>\n<p>The key&nbsp;facts needed to do these questions are:</p>\n<p>-The area between the graph and the $t$-axis corresponds to <em>distances</em>.</p>\n<p>-If the velocity is positive, then it means the particle is moving forwards, i.e., that the change in position is positive.</p>\n<p>-If the velocity is negative, then the particle is moving backwards, i.e., the change in position is negative.</p>", "statement": "", "tags": [], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}