// Numbas version: exam_results_page_options
{"name": "SDT consistent units", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Picture1_BJVWsgU.png", "/srv/numbas/media/question-resources/Picture1_BJVWsgU.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "SDT consistent units", "tags": [], "metadata": {"description": "<p>Calculate distance given speed and time.</p>", "licence": "None specified"}, "statement": "", "advice": "<p>Use the formula triangle: <img width=\"79\" height=\"74\" src=\"resources/question-resources/Picture1_BJVWsgU.png\" alt=\"A triangle with 'D' at the apex, 'S' on the bottom left and 'T' on the bottom right.\" style=\"width: 79px; height: 74px;\"/> &nbsp; &nbsp; $D$ is distance, $T$ is time, $S$ is speed.</p>\n<p><br/>Check the units before you do the calculation.&nbsp; <br/>In this question, $D$ is in m, $T$ in sec and $S$ in m/sec, which are <strong>c</strong>onsistent with each other, so we can continue.</p>\n<p>We are asked to find the distance travelled, this is $D$ in the triangle.&nbsp; Cover $D$ with your finger and the remaining part of the triangle gives the formula we need, i.e.</p>\n<p>\\[D = T \\times S\\]</p>\n<p>The values we have are&nbsp;<span style=\"display: inline !important; float: none; background-color: transparent; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;\">$T = \\var{t}$ and </span>$S=\\var{u}$.</p>\n<p><br/>Therefore</p>\n<p>\\[D = \\var{t} \\times \\var{u}\\]</p>\n<p>\\[D = \\var{t*u}\\] m</p>\n<p></p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"t": {"name": "t", "group": "Ungrouped variables", "definition": "random(5..60 #5)", "description": "", "templateType": "anything", "can_override": false}, "u": {"name": "u", "group": "Ungrouped variables", "definition": "random(5..10 #0.5)", "description": "", "templateType": "anything", "can_override": false}, "D": {"name": "D", "group": "Ungrouped variables", "definition": "(T)*U", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "precround(d,0)=d", "maxRuns": "40"}, "ungrouped_variables": ["t", "u", "D"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>A sprinter is travelling at $\\var{u}$ m/sec for $\\var{t}$ seconds.<br/>How far does she travel?&nbsp; Give your answer to the nearest m.</p>", "minValue": "d", "maxValue": "d", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}]}]}], "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}]}