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The graph below shows how the velocity of a car varies with time.

Calculate the acceleration of the car between C and D.

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Equation:

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Change in velocity from graph:

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velocity at C = 12 m/s

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velocity at D = 16 m/s

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change in velocity = v - u = 16 - 12 = 4 m/s

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Substitution and correct evaluation:

Describe the motion of the car between B and C.

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Calculate the distance travelled between A and C.

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area under graph = distance travelled

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Distance travelled between B and C:

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Jack drives to his friends house from home. He stops at the shop for a snack on the way.

The table below shows the details of Jack's journey.

Plot a graph to show Jack's journey to his friends house.

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correct plotting

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lines connecting points drawn correctly

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State how long Jack stopped at the shop.

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8 minutes

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Calculate Jack's speed between 16 and 28 minutes.

Give your answer to 1 decimal place in m/s.

","altText":null,"includeImageInSEO":null,"filename":null,"caption":null,"showCaption":null,"version":null,"containsMissingWords":false,"label":null,"sourceList":[],"showAllImagesAutomatically":false,"showFirstImageAutomatically":false,"width":null,"mobileWidth":null,"desktopWidth":null,"reverseOnMobile":false,"verticalAlignTop":false,"persistAnswersOrder":false,"useLatexAnswers":false,"carouselAutoContinue":false,"blankCanvas":false,"contentType":null,"multicolumnSubelements":[],"includeBorder":true,"singleSectionWidthsDesktop":true,"singleSectionWidthsMobile":true,"slideSubelements":[],"showDivider":true,"desktopPadding":null,"mobilePadding":null,"mathsSymbols":[],"groupId":null,"mcqType":null,"mcqAnswerDirection":"column","noOfAnswers":null,"singleSelect":true,"noOfCorrectAnswers":null,"hasHints":false,"noOfHints":0,"useSubelementScore":false,"limitSelection":true,"score":null,"useScoringHints":false,"noOfScoringHints":null,"theme":null,"flashcardType":null,"scoringHints":[],"answers":[],"hints":[],"v2Source":"Calculate Jack's speed between 16 and 28 minutes.\n\n Give your answer to 1 decimal place in m/s.","v2WordBank":null,"v2WordBankFlag":null,"v2Hints":null,"v2Converted":{"tier2a":null},"order":1},{"id":"6512943d8ec24e0b3c7de5c9","type":"selfmarkanswer","source":null,"altText":null,"includeImageInSEO":null,"filename":null,"caption":null,"showCaption":null,"version":null,"containsMissingWords":false,"label":null,"sourceList":[],"showAllImagesAutomatically":false,"showFirstImageAutomatically":false,"width":null,"mobileWidth":null,"desktopWidth":null,"reverseOnMobile":false,"verticalAlignTop":false,"persistAnswersOrder":false,"useLatexAnswers":false,"carouselAutoContinue":false,"blankCanvas":false,"contentType":null,"multicolumnSubelements":[],"includeBorder":true,"singleSectionWidthsDesktop":true,"singleSectionWidthsMobile":true,"slideSubelements":[],"showDivider":true,"desktopPadding":null,"mobilePadding":null,"mathsSymbols":[],"groupId":null,"mcqType":null,"mcqAnswerDirection":"column","noOfAnswers":null,"singleSelect":true,"noOfCorrectAnswers":null,"hasHints":null,"noOfHints":null,"useSubelementScore":false,"limitSelection":true,"score":null,"useScoringHints":false,"noOfScoringHints":null,"theme":null,"flashcardType":null,"scoringHints":[],"answers":[],"hints":[],"v2Source":null,"v2WordBank":null,"v2WordBankFlag":null,"v2Hints":null,"v2Converted":null,"order":2},{"id":"6512943d8ec24e0b3c7de5ca","type":"solution","source":null,"altText":null,"includeImageInSEO":null,"filename":null,"caption":null,"showCaption":null,"version":null,"containsMissingWords":false,"label":null,"sourceList":[],"showAllImagesAutomatically":false,"showFirstImageAutomatically":false,"width":null,"mobileWidth":null,"desktopWidth":null,"reverseOnMobile":false,"verticalAlignTop":false,"persistAnswersOrder":false,"useLatexAnswers":false,"carouselAutoContinue":false,"blankCanvas":false,"contentType":null,"multicolumnSubelements":[],"includeBorder":true,"singleSectionWidthsDesktop":true,"singleSectionWidthsMobile":true,"slideSubelements":[],"showDivider":true,"desktopPadding":null,"mobilePadding":null,"mathsSymbols":[],"groupId":null,"mcqType":null,"mcqAnswerDirection":"column","noOfAnswers":null,"singleSelect":true,"noOfCorrectAnswers":null,"hasHints":null,"noOfHints":null,"useSubelementScore":false,"limitSelection":true,"score":null,"useScoringHints":false,"noOfScoringHints":null,"theme":null,"flashcardType":null,"scoringHints":[],"answers":[],"hints":[],"v2Source":null,"v2WordBank":null,"v2WordBankFlag":null,"v2Hints":null,"v2Converted":null,"order":3},{"id":"6512943d8ec24e0b3c7de5cb","type":"selfmarkfacts","source":null,"altText":null,"includeImageInSEO":null,"filename":null,"caption":null,"showCaption":null,"version":2,"containsMissingWords":false,"label":null,"sourceList":[],"showAllImagesAutomatically":false,"showFirstImageAutomatically":false,"width":null,"mobileWidth":null,"desktopWidth":null,"reverseOnMobile":false,"verticalAlignTop":false,"persistAnswersOrder":false,"useLatexAnswers":false,"carouselAutoContinue":false,"blankCanvas":false,"contentType":null,"multicolumnSubelements":[],"includeBorder":true,"singleSectionWidthsDesktop":true,"singleSectionWidthsMobile":true,"slideSubelements":[],"showDivider":true,"desktopPadding":null,"mobilePadding":null,"mathsSymbols":[],"groupId":null,"mcqType":"text","mcqAnswerDirection":"column","noOfAnswers":13,"singleSelect":false,"noOfCorrectAnswers":13,"hasHints":null,"noOfHints":null,"useSubelementScore":false,"limitSelection":true,"score":4,"useScoringHints":false,"noOfScoringHints":null,"theme":null,"flashcardType":null,"scoringHints":[],"answers":[{"key":0,"label":"A","value":"

Equation:

","valueLength":42,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":null,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"***Equation:***","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":1,"label":"B","value":"\\text{speed }=\\frac{\\text{distance}}{\\text{time}}","valueLength":49,"correctAnswer":true,"score":1,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":true,"isScoringFact":true,"valignCentre":true,"valignBottom":false,"answerType":"formula","v2Value":"\\text{speed }=\\frac{\\text{distance}}{\\text{time}}","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":2,"label":"C","value":"

Time from graph:

","valueLength":49,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":false,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"***Time from graph:***","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":3,"label":"D","value":"

time from graph = 28 - 16 = 12 minutes

","valueLength":54,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":false,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"*time from graph = 28 - 16 = 12 minutes*","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":4,"label":"E","value":"

to convert minutes into seconds, multiply by 60

","valueLength":63,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":false,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"*to convert minutes into seconds, multiply by 60*","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":5,"label":"F","value":"

12 minutes = 720 s

","valueLength":25,"correctAnswer":true,"score":1,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":true,"isScoringFact":true,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"12 minutes = 720 s","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":6,"label":"G","value":"

Distance from graph:

","valueLength":53,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":false,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"***Distance from graph:***","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":7,"label":"H","value":"

distance from graph = 27 km - 12 km = 15 km

","valueLength":59,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":false,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"*distance from graph = 27 km - 12 km = 15 km*","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":8,"label":"I","value":"

to convert km into m, multiply by 1000

","valueLength":55,"correctAnswer":true,"score":0,"isRichText":true,"units":null,"unitsLocation":"suffix","selfmarkIndent":0,"selfmarkSpacer":false,"isScoringFact":false,"valignCentre":null,"valignBottom":null,"answerType":null,"v2Value":"*to convert km into m, multiply by 1000*","v2Units":null,"pairsType":null,"disallowedWords":null},{"key":9,"label":"J","value":"

15 km = 15,000 m

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Substitution and correct evaluation:

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as the starting height of the ramp increased, the final speed increased

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in a linear way

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directly proportional

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The length of the ramp was 2 m.

Calculate the acceleration of the trolley when the starting height of the ramp was 20 cm.

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Equation:

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Rearrangement:

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Substitution and correct evaluation:

we know that v is 2.5 m/s from the graph

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Motion - exam practice

Motion

Question 1 of 3

Motion - exam practice

Motion

Question 1 of 3