// Numbas version: exam_results_page_options
{"name": "Speed-time graphs", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Speed-time_graph.png", "/srv/numbas/media/question-resources/Speed-time_graph.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["A", "B", "C", "D", "F", "YZ", "DCdiff", "FDdiff", "dist"], "statement": "<p>The distance-time graph below shows a journey.</p>\n<p>{image('resources/question-resources/Speed-time_graph.png')}</p>\n<p>A = $\\var{A}$</p>\n<p>B = $\\var{B}$</p>\n<p>C = $\\var{C}$</p>\n<p>D = $\\var{D}$</p>\n<p>F = $\\var{F}$</p>", "functions": {}, "variable_groups": [], "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "variables": {"F": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "F", "definition": "random(26..40)"}, "DCdiff": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "DCdiff", "definition": "D-C"}, "C": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "C", "definition": "random(1..10)"}, "YZ": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "YZ", "definition": "(B-A)/(F-D)"}, "FDdiff": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "FDdiff", "definition": "F-D"}, "A": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "A", "definition": "random(10..35)"}, "dist": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "dist", "definition": "((A*C)/2)+(A*(D-C))"}, "B": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "B", "definition": "random(36..45)"}, "D": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "D", "definition": "random(11..25)"}}, "metadata": {"description": "<p>Questions about speed-time graphs</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "parts": [{"shuffleChoices": true, "matrix": [0, 0, "1", 0], "type": "1_n_2", "displayType": "radiogroup", "choices": ["<p>The traveller is staying still</p>", "<p>The traveller is going at a constant speed</p>", "<p>The traveller is&nbsp;accelerating</p>", "<p>The traveller is&nbsp;decelerating</p>"], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "minMarks": 0, "variableReplacements": [], "maxMarks": "1", "distractors": ["", "", "", ""], "scripts": {}, "prompt": "<p>What is happening between W and X?</p>", "showFeedbackIcon": true, "displayColumns": "1"}, {"shuffleChoices": true, "matrix": [0, "1", "0", 0], "type": "1_n_2", "displayType": "radiogroup", "choices": ["<p>The traveller is staying still</p>", "<p>The traveller is going at a constant speed</p>", "<p>The traveller is&nbsp;accelerating</p>", "<p>The traveller is&nbsp;decelerating</p>"], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "minMarks": 0, "variableReplacements": [], "maxMarks": "1", "distractors": ["", "", "", ""], "scripts": {}, "prompt": "<p>What is happening between X and Y?</p>", "showFeedbackIcon": true, "displayColumns": "1"}, {"type": "numberentry", "integerAnswer": true, "correctAnswerFraction": false, "minValue": "A", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "correctAnswerStyle": "plain", "integerPartialCredit": 0, "allowFractions": false, "variableReplacements": [], "marks": 1, "maxValue": "A", "scripts": {}, "prompt": "<p>What is the traveller's speed at point X in miles per hour?</p>", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}, {"shuffleChoices": true, "matrix": [0, "1", 0, 0], "type": "1_n_2", "displayType": "radiogroup", "choices": ["<p>The traveller starts moving for $\\var{C}$ hours, stops for&nbsp;$\\var{DCdiff}$ hours, then moves for another $\\var{FDdiff}$ hours</p>", "<p>The traveller accelerates steadily&nbsp;for $\\var{C}$ hours, travels at a constant speed for&nbsp;$\\var{DCdiff}$ hours, then accelerates&nbsp;for another $\\var{FDdiff}$ hours</p>", "<p>The traveller accelerates steadily&nbsp;for $\\var{C}$ hours, stops&nbsp;for&nbsp;$\\var{DCdiff}$ hours, then accelerates&nbsp;for another $\\var{FDdiff}$ hours</p>", "<p>The traveller accelerates steadily&nbsp;for $\\var{C}$ hours, stops&nbsp;for&nbsp;$\\var{DCdiff}$ hours, then deccelerates&nbsp;for another $\\var{FDdiff}$ hours</p>"], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "minMarks": 0, "variableReplacements": [], "maxMarks": "1", "distractors": ["", "", "", ""], "scripts": {}, "prompt": "<p>Describe what is happening in this speed-time graph.</p>", "showFeedbackIcon": true, "displayColumns": 0}, {"notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "minValue": "YZ-0.05", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "correctAnswerStyle": "plain", "allowFractions": false, "variableReplacements": [], "marks": 1, "scripts": {}, "prompt": "<p>What is the traveller's acceleration between Y and Z? Give your answer to 2 decimal places.</p>", "showFeedbackIcon": true, "maxValue": "YZ+0.05"}, {"notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "minValue": "dist", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "correctAnswerStyle": "plain", "allowFractions": false, "variableReplacements": [], "marks": 1, "scripts": {}, "prompt": "<p>What distance (in miles) has the traveller covered between points W and Y? Give an exact answer.</p>", "showFeedbackIcon": true, "maxValue": "dist"}], "name": "Speed-time graphs", "preamble": {"js": "", "css": ""}, "advice": "<p>Horizontal lines on speed-time graphs are when the subject is travelling at a constant speed. Lines with a positive gradient are accelerating (speeding up), and lines with a negative gradient are decelerating (slowing down).</p>\n<p>You calculate the acceleration&nbsp;of a section of a speed-time graph by finding the gradient of that section. Remember gradient = difference in y / difference in x. This is the same as saying acceleration&nbsp;= change in speed&nbsp;/ time.</p>\n<p>You can work out missing values by rearranging theacceleration&nbsp;= change in speed&nbsp;/ time equation.</p>\n<p>The area under a speed-time graph is the distance travelled.</p>", "extensions": [], "tags": [], "type": "question", "contributors": [{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}]}]}], "contributors": [{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}]}