// Numbas version: finer_feedback_settings
{"name": "Marine Passage Planning", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Marine Passage Planning", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>A product tanker, draught 8.50 m and service speed of 14 knots, sails from Honolulu (Hawaii), on 1st July bound for Panama (Republic of Panama).</p>\n<p>The Master selects the Great Circle route. Use the following notation:</p>\n<ul>\n<li>A = start</li>\n<li>B = destination</li>\n<li>P = pole</li>\n</ul>\n<p>Calculate the following:</p>", "advice": "<h4>Part a)</h4>\n<p></p>\n<p></p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"PAdeg": {"name": "PAdeg", "group": "Setup", "definition": "68", "description": "", "templateType": "anything", "can_override": false}, "PAmin": {"name": "PAmin", "group": "Setup", "definition": "48", "description": "", "templateType": "anything", "can_override": false}, "PBdeg": {"name": "PBdeg", "group": "Setup", "definition": "62", "description": "", "templateType": "anything", "can_override": false}, "PBmin": {"name": "PBmin", "group": "Setup", "definition": "35", "description": "", "templateType": "anything", "can_override": false}, "Pmin": {"name": "Pmin", "group": "Setup", "definition": "55", "description": "", "templateType": "anything", "can_override": false}, "Pdeg": {"name": "Pdeg", "group": "Setup", "definition": "75", "description": "", "templateType": "anything", "can_override": false}, "cosAB": {"name": "cosAB", "group": "AB", "definition": "cosP*sinPA*sinPB+cosPA*cosPB", "description": "", "templateType": "anything", "can_override": false}, "AB": {"name": "AB", "group": "AB", "definition": "degrees(arccos(cosAB))", "description": "", "templateType": "anything", "can_override": false}, "cosP": {"name": "cosP", "group": "Ungrouped variables", "definition": "cos(radians(Pdeg+Pmin/60))", "description": "", "templateType": "anything", "can_override": false}, "sinPA": {"name": "sinPA", "group": "Ungrouped variables", "definition": "sin(radians(PAdeg+PAmin/60))", "description": "", "templateType": "anything", "can_override": false}, "sinPB": {"name": "sinPB", "group": "Ungrouped variables", "definition": "sin(radians(PBdeg+PBmin/60))", "description": "", "templateType": "anything", "can_override": false}, "cosPA": {"name": "cosPA", "group": "Ungrouped variables", "definition": "cos(radians(PAdeg+PAmin/60))", "description": "", "templateType": "anything", "can_override": false}, "cosPB": {"name": "cosPB", "group": "Ungrouped variables", "definition": "cos(radians(PBdeg+PBmin/60))", "description": "", "templateType": "anything", "can_override": false}, "ABdeg": {"name": "ABdeg", "group": "AB", "definition": "floor(AB)", "description": "", "templateType": "anything", "can_override": false}, "ABmin": {"name": "ABmin", "group": "AB", "definition": "(AB-ABdeg)*60", "description": "", "templateType": "anything", "can_override": false}, "TD": {"name": "TD", "group": "Ungrouped variables", "definition": "ABdeg*60+ABmin+25+220", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["cosP", "sinPA", "sinPB", "cosPA", "cosPB", "TD"], "variable_groups": [{"name": "Setup", "variables": ["PAdeg", "PAmin", "PBdeg", "PBmin", "Pdeg", "Pmin"]}, {"name": "AB", "variables": ["cosAB", "AB", "ABdeg", "ABmin"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$PA=\\;$[[0]]$^\\circ\\;$[[1]]$'$ N</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "PAdeg", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "PAdeg", "maxValue": "PAdeg", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "PAmin", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "PAmin", "maxValue": "PAmin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$PB=\\;$[[0]]$^\\circ\\;$[[1]]$'$ N</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "PBdeg", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "PBdeg", "maxValue": "PBdeg", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "PBmin", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "PBmin", "maxValue": "PBmin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$P=\\;$[[0]]$^\\circ\\;$[[1]]$'$ E</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Pdeg", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Pdeg", "maxValue": "Pdeg", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Pmin", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Pmin", "maxValue": "Pmin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "6", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "PAdeg", "part": "p0g0", "must_go_first": true}, {"variable": "PAmin", "part": "p0g1", "must_go_first": true}, {"variable": "PBdeg", "part": "p1g0", "must_go_first": true}, {"variable": "PBmin", "part": "p1g1", "must_go_first": true}, {"variable": "Pdeg", "part": "p2g0", "must_go_first": true}, {"variable": "Pmin", "part": "p2g1", "must_go_first": true}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Hence calculate $\\cos(AB)$.</p>", "minValue": "cosAB", "maxValue": "cosAB", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cosAB", "part": "p3", "must_go_first": true}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$AB=\\;$[[0]]$^\\circ\\;$[[1]]$'$ E</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "ABdeg", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "ABdeg", "maxValue": "ABdeg", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "ABmin", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cosAB", "part": "p3", "must_go_first": true}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "ABmin", "maxValue": "ABmin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "ABdeg", "part": "p4g0", "must_go_first": true}, {"variable": "ABmin", "part": "p4g1", "must_go_first": true}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the total distance, in nautical miles?</p>", "minValue": "TD", "maxValue": "TD", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Martin Jones", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/145/"}, {"name": "vaughan lewis", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19987/"}]}]}], "contributors": [{"name": "Martin Jones", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/145/"}, {"name": "vaughan lewis", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19987/"}]}