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Distance therefore gives the total length travelled, regardless of the direction of travel."},{"text":"It has direction but no magnitude.","correct":false,"explanation":"Direction alone does not define a scalar quantity. Distance is scalar because it has a magnitude, representing the total length travelled, but no associated direction."},{"text":"It has magnitude and a direction.","correct":false,"explanation":"Having both magnitude and direction defines a vector, such as displacement. Distance is a scalar because it has magnitude but does not specify direction."},{"text":"It has no magnitude and no direction.","correct":false,"explanation":"Distance must have a magnitude because it measures the total length of a route. It is scalar because this magnitude has no associated direction."}]},{"id":"51178322-5b65-42a6-a023-9d2866e010e3","cardType":"basic","points":1,"front":"What is the SI unit of distance?","back":"Metre ($\\text{m}$).","mcqOptions":[{"text":"Metre ($\\text{m}$).","correct":true,"explanation":"The metre, symbol m, is the SI base unit for length and therefore the standard SI unit used to measure distance."},{"text":"Kilometre ($\\text{km}$).","correct":false,"explanation":"A kilometre is a commonly used larger unit, but it is not the SI base unit. The correct SI unit of distance is the metre, m."},{"text":"Centimetre ($\\text{cm}$).","correct":false,"explanation":"A centimetre is a useful smaller unit of length, but it is not the SI base unit. Distance is measured in metres, m, in SI."},{"text":"Second ($\\text{s}$).","correct":false,"explanation":"The second measures time rather than length or distance. The SI unit for distance is the metre, m."}]},{"id":"f9b28e25-a633-4f31-808b-5cbb41a05f58","cardType":"basic","points":1,"front":"Which other units can be used for distance?","back":"Kilometres ($\\text{km}$) or centimetres ($\\text{cm}$).","mcqOptions":[{"text":"Kilometres ($\\text{km}$) or centimetres ($\\text{cm}$).","correct":true,"explanation":"Kilometres are suitable for long distances and centimetres for smaller lengths. Both are valid non-SI units that can be converted to metres."},{"text":"Kilograms ($\\text{kg}$) or seconds ($\\text{s}$).","correct":false,"explanation":"Kilograms measure mass and seconds measure time, so neither measures distance. Appropriate alternatives include kilometres and centimetres."},{"text":"Newtons ($\\text{N}$) or joules ($\\text{J}$).","correct":false,"explanation":"Newtons measure force and joules measure energy, not length. Distance can instead be expressed in kilometres or centimetres."},{"text":"Metres per second ($\\text{m s}^{-1}$) or miles per hour ($\\text{mph}$).","correct":false,"explanation":"These are units of speed because they combine distance with time. Distance itself can be measured in kilometres or centimetres."}]},{"id":"464652cb-f06a-484a-92a8-32a1d7b57cac","cardType":"basic","points":2,"front":"How is the total distance for a journey calculated?","back":"Add the lengths of every part of the route.","mcqOptions":[{"text":"Add the lengths of every part of the route.","correct":true,"explanation":"Total distance is the complete route travelled, so the lengths of all separate sections must be added together."},{"text":"Subtract the lengths of every part of the route.","correct":false,"explanation":"Subtracting route sections can give a net change rather than the total distance. The lengths of every part must be added because all travelled sections count."},{"text":"Use only the length of the shortest part of the route.","correct":false,"explanation":"The shortest section represents only part of the journey. Total distance requires adding the lengths of every section travelled."},{"text":"Measure the straight-line distance from start to finish.","correct":false,"explanation":"The straight-line separation describes the magnitude of displacement, not necessarily total distance. Distance follows the actual route and includes every part."}]},{"id":"852472be-f3fc-40b2-bc31-2cb0705d206b","cardType":"basic","points":2,"front":"Why can distance not be negative when an object reverses direction?","back":"Distance cannot be negative because every part of the journey adds to the total.","mcqOptions":[{"text":"Distance cannot be negative because every part of the journey adds to the total.","correct":true,"explanation":"Distance records the total path length, and lengths are positive contributions. Reversing direction changes displacement but does not subtract from distance travelled."},{"text":"Distance becomes negative because reversing direction subtracts from the total.","correct":false,"explanation":"Reversing direction can make a displacement component negative, but distance remains total path length. Every part of the journey is added."},{"text":"Distance cannot be negative because it always equals displacement.","correct":false,"explanation":"Distance and displacement are not always equal: a route can be longer than the straight-line change. Distance stays non-negative because it totals path length."},{"text":"Distance becomes zero whenever an object reverses direction.","correct":false,"explanation":"A reversal does not erase the distance already travelled. The travelled sections continue contributing to the total, although the final displacement may be smaller."}]},{"id":"0c746fb0-57c0-447f-85e1-a399818936fc","cardType":"basic","points":1,"front":"What type of quantity is displacement?","back":"A vector quantity.","mcqOptions":[{"text":"A vector quantity.","correct":true,"explanation":"Displacement is a vector because it requires both a size, or magnitude, and a direction from the starting position to the finishing position."},{"text":"A scalar quantity.","correct":false,"explanation":"A scalar has magnitude only, which describes distance rather than displacement. Displacement is a vector because its direction must also be stated."},{"text":"A mass quantity.","correct":false,"explanation":"Mass is a physical quantity measured in kilograms, not a category describing displacement. Displacement is classified as a vector quantity."},{"text":"A speed quantity.","correct":false,"explanation":"Speed is a scalar measure of distance travelled per unit time. Displacement is instead a vector quantity with magnitude and direction."}]},{"id":"6d4ea4af-5023-4b3a-a7ae-62d3f33b1008","cardType":"basic","points":1,"front":"What two things must a displacement include?","back":"Its magnitude and its direction.","mcqOptions":[{"text":"Its magnitude and its direction.","correct":true,"explanation":"A displacement must state how large the change in position is and which way it acts. These are its magnitude and direction."},{"text":"Its distance and its time.","correct":false,"explanation":"Distance and time may describe a journey, but they do not fully define displacement. Displacement requires magnitude and direction."},{"text":"Its speed and its mass.","correct":false,"explanation":"Speed and mass are unrelated to the defining features of displacement. A displacement needs its magnitude and its direction."},{"text":"Its route and its duration.","correct":false,"explanation":"The route and duration are not required to state displacement. Only the change in position's magnitude and direction are needed."}]},{"id":"1e2179d0-6724-42b7-8afe-8f9641f4bfdd","cardType":"basic","points":1,"front":"What does the magnitude of displacement represent?","back":"The straight-line distance between the start and finish points.","mcqOptions":[{"text":"The straight-line distance between the start and finish points.","correct":true,"explanation":"The magnitude of displacement is the shortest separation between the initial and final positions, measured as a straight line regardless of the route taken."},{"text":"The total route length between the start and finish points.","correct":false,"explanation":"Total route length is distance, not displacement magnitude. Displacement magnitude uses the straight-line separation between the start and finish."},{"text":"The time taken between the start and finish points.","correct":false,"explanation":"Time taken measures duration, not a length. Displacement magnitude is the straight-line distance between the initial and final positions."},{"text":"The average speed between the start and finish points.","correct":false,"explanation":"Average speed is distance divided by time and is not a displacement measure. The magnitude is the straight-line separation of the two positions."}]},{"id":"12aaf593-2181-4e2e-927b-ddb28df80d70","cardType":"basic","points":1,"front":"What is the unit for the magnitude of displacement?","back":"The metre ($\\text{m}$).","mcqOptions":[{"text":"The metre ($\\text{m}$).","correct":true,"explanation":"Displacement is a length, so its magnitude uses the SI unit metre, m. Direction is stated separately and has no separate unit."},{"text":"The second ($\\text{s}$).","correct":false,"explanation":"The second is the SI unit for time, not length. The magnitude of displacement is measured in metres, m."},{"text":"The newton ($\\text{N}$).","correct":false,"explanation":"The newton measures force. Displacement is a length quantity, so its magnitude is measured in metres, m."},{"text":"The metre per second ($\\text{m s}^{-1}$).","correct":false,"explanation":"Metres per second measure speed or velocity. Displacement magnitude is a length and therefore uses metres, m."}]},{"id":"fe1f00c9-4f56-44ec-ba27-ce51266cfd9e","cardType":"basic","points":2,"front":"Does the route affect displacement?","back":"No. Only the start and finish positions matter.","mcqOptions":[{"text":"No. Only the start and finish positions matter.","correct":true,"explanation":"Displacement depends only on the initial and final positions. Changing the route may change distance, but it does not change the displacement if both positions stay fixed."},{"text":"Yes. The whole route determines the displacement.","correct":false,"explanation":"The whole route determines distance, not displacement. Displacement depends only on the start and finish positions, including their separation and direction."},{"text":"No. Only the time taken matters.","correct":false,"explanation":"Time does not determine displacement. The initial and final positions are what matter; time may be relevant to velocity instead."},{"text":"Yes. The fastest route gives the greatest displacement.","correct":false,"explanation":"Route speed does not set displacement. For fixed start and finish positions, the displacement is unchanged regardless of which route is used."}]},{"id":"a0688a70-15b8-4d72-8c99-7926ac414881","cardType":"basic","points":2,"front":"Can distance be greater than the magnitude of displacement?","back":"Yes. An object can travel a large distance but have a small displacement.","mcqOptions":[{"text":"Yes. An object can travel a large distance but have a small displacement.","correct":true,"explanation":"A winding or returning journey can have a long total route while ending close to the start. Distance then exceeds the magnitude of displacement."},{"text":"No. Distance and displacement are always equal.","correct":false,"explanation":"They are equal only for a straight journey in one direction. A route involving turns or returns can produce a larger distance than displacement magnitude."},{"text":"No. Displacement is always larger than distance.","correct":false,"explanation":"Displacement magnitude cannot exceed the total route length between the same positions. Distance may be larger when the route is indirect."},{"text":"Yes. A small distance always produces a large displacement.","correct":false,"explanation":"A small travelled distance cannot generally produce a large displacement. The usual contrast is a large route distance with a small final change in position."}]},{"id":"01a97a49-068e-47b5-9da8-bb1af859bc3f","cardType":"basic","points":2,"front":"What is the displacement when an object finishes where it started?","back":"The displacement is zero, even if the distance travelled is considerable.","mcqOptions":[{"text":"The displacement is zero, even if the distance travelled is considerable.","correct":true,"explanation":"Returning to the starting position makes the initial and final positions identical, so displacement is zero. The route length still gives a non-zero distance."},{"text":"The displacement is equal to the distance travelled, even if the object returns.","correct":false,"explanation":"A return journey can have substantial distance but zero final change in position. Displacement is based on start and finish positions, not total route length."},{"text":"The displacement is negative, even if the object returns.","correct":false,"explanation":"A completed round trip has the same start and finish position, so displacement is zero. A negative displacement would require a chosen direction and a different final position."},{"text":"The displacement is the length of the route, even if the object returns.","correct":false,"explanation":"The route length is distance. Since the object finishes where it began, the displacement is zero regardless of how long the route was."}]},{"id":"b4457810-9088-4fbd-a83d-c7a901e64071","cardType":"basic","points":3,"front":"How do distance and displacement differ?","back":"

Distance: actual route travelled, with no direction.
Displacement: straight-line change from start to finish, with direction.

","mcqOptions":[{"text":"

Distance: actual route travelled, with no direction.
Displacement: straight-line change from start to finish, with direction.

","correct":true,"explanation":"Distance is the scalar total of the actual route, whereas displacement is the vector change from start to finish measured along a straight line with direction."},{"text":"

Distance: straight-line change from start to finish, with direction.
Displacement: actual route travelled, with no direction.

","correct":false,"explanation":"These definitions are reversed. Distance follows the actual route without direction, while displacement is the straight-line change with direction."},{"text":"

Distance: actual route travelled, with direction.
Displacement: straight-line change from start to finish, with no direction.

","correct":false,"explanation":"The direction properties are swapped. Distance has no direction because it is scalar, while displacement includes direction because it is vector."},{"text":"

Distance: time taken along the route, with no direction.
Displacement: speed from start to finish, with direction.

","correct":false,"explanation":"Time and speed are different quantities from distance and displacement. Distance is route length, while displacement is the directed straight-line change in position."}]},{"id":"78c80756-08b3-4a7d-9976-ae0440c2e503","cardType":"basic","points":2,"front":"Why is a displacement answer incomplete without a direction?","back":"The direction must be included because displacement is a vector quantity.","mcqOptions":[{"text":"The direction must be included because displacement is a vector quantity.","correct":true,"explanation":"Vectors require both magnitude and direction. Giving only the size of a displacement omits essential information about the way the position changed."},{"text":"The direction must be included because displacement is a scalar quantity.","correct":false,"explanation":"Scalars have magnitude only, so this classification is incorrect. Displacement needs direction because it is a vector quantity."},{"text":"The direction must be included because displacement measures time.","correct":false,"explanation":"Displacement measures a change in position, not time. Its direction is required because displacement is a vector quantity."},{"text":"The direction must be included because distance is a vector quantity.","correct":false,"explanation":"Distance is scalar and does not require direction. The relevant vector is displacement, whose direction must accompany its magnitude."}]},{"id":"21f6d564-32a5-4062-9124-8c5077047573","cardType":"cloze","points":null,"front":"Distance is a [ ] quantity, so it has magnitude but no direction.","back":"Distance is a scalar quantity, so it has magnitude but no direction.","mcqOptions":[{"text":"scalar","correct":true,"explanation":"Distance has magnitude but no direction, which is the definition of a scalar quantity."},{"text":"vector","correct":false,"explanation":"Vector quantities have both magnitude and direction, so this is the common confusion with displacement. Distance is scalar because it has magnitude only."},{"text":"directional","correct":false,"explanation":"A directional quantity would require information about which way the measurement acts. Distance has no direction and is therefore scalar."},{"text":"negative","correct":false,"explanation":"Negative describes a possible sign, not the type of physical quantity. Distance is scalar because it has magnitude without direction."}]},{"id":"6302a413-d6d5-4736-8d3f-c63aeeeefa8a","cardType":"cloze","points":null,"front":"Displacement is the [ ] from start to finish, together with direction.","back":"Displacement is the straight-line distance from start to finish, together with direction.","mcqOptions":[{"text":"straight-line distance","correct":true,"explanation":"Displacement describes the change from the starting position to the finishing position using the straight-line separation, together with its direction."},{"text":"total route length","correct":false,"explanation":"Total route length describes distance travelled, including turns and detours. Displacement instead uses the straight-line distance from start to finish."},{"text":"average speed","correct":false,"explanation":"Average speed is a rate involving distance and time, not the change in position. The blank requires the straight-line distance between the endpoints."},{"text":"change in time","correct":false,"explanation":"Time is not a measure of position or length. Displacement is the straight-line distance from start to finish, together with direction."}]},{"id":"b4e35b80-8933-4978-bdf2-ca719856ca62","cardType":"cloze","points":null,"front":"The total distance equals the sum of the [ ].","back":"The total distance equals the sum of the lengths of all parts of the route.","mcqOptions":[{"text":"lengths of all parts of the route","correct":true,"explanation":"Distance measures the entire route travelled, so the total distance is found by adding the lengths of every part of that route."},{"text":"displacements of all parts of the route","correct":false,"explanation":"Displacement depends only on the overall change in position, not the separate route sections. Adding route lengths gives the correct answer: lengths of all parts of the route."},{"text":"directions of all parts of the route","correct":false,"explanation":"Directions describe orientation and cannot be added to produce a distance. Distance is the total length travelled, so the correct answer is lengths of all parts of the route."},{"text":"speeds during all parts of the route","correct":false,"explanation":"Speed describes how quickly the journey occurs, whereas distance describes the route length. The correct answer is lengths of all parts of the route."}]},{"id":"368770b6-8f78-4053-b9b7-5dbb55fe5fa7","cardType":"cloze","points":null,"front":"An object that returns to its start point has a displacement of [ ].","back":"An object that returns to its start point has a displacement of zero.","mcqOptions":[{"text":"zero","correct":true,"explanation":"Returning to the starting point means there is no overall change in position. Displacement is therefore zero, even though the object has travelled a non-zero distance."},{"text":"the distance travelled","correct":false,"explanation":"The distance travelled records the whole route and is not zero when the object moves away and returns. The displacement is zero because the start and finish positions coincide."},{"text":"the total route length","correct":false,"explanation":"The total route length is a distance and remains positive after a return journey. Displacement is zero because the final position is the same as the initial position."},{"text":"the starting position","correct":false,"explanation":"A position is not the value of the displacement. A return to the starting position gives zero displacement because there is no net change in position."}]},{"id":"90a06f28-1b22-4c1b-aa37-0ce7d2db95c0","cardType":"cloze","points":null,"front":"A student walking $40\\ \\text{m}$ east and $15\\ \\text{m}$ west travels a distance of $\\text{[...]}$.","back":"A student walking $40\\ \\text{m}$ east and $15\\ \\text{m}$ west travels a distance of $\\boxed{55\\ \\text{m}}$.","mcqOptions":[{"text":"$$55\\ \\text{m}$","correct":true,"explanation":"Distance includes both eastward and westward parts of the route, so $40\\ \\text{m} + 15\\ \\text{m} = 55\\ \\text{m}$."},{"text":"$$25\\ \\text{m}$","correct":false,"explanation":"Subtracting the westward section from the eastward section calculates the magnitude of displacement, not distance. Distance adds both sections, giving $55\\ \\text{m}$."},{"text":"$$40\\ \\text{m}$","correct":false,"explanation":"This ignores the additional $15\\ \\text{m}$ travelled west. Distance includes the complete route, so the correct total is $40\\ \\text{m} + 15\\ \\text{m} = 55\\ \\text{m}$."},{"text":"$$15\\ \\text{m}$","correct":false,"explanation":"This counts only the westward part and ignores the initial eastward movement. Adding both parts of the route gives the correct distance of $55\\ \\text{m}$."}]},{"id":"ede6a5fe-9ec5-4875-b4f3-3d13cb83f6e4","cardType":"cloze","points":null,"front":"For the same journey, the student’s displacement is [ ].","back":"For the same journey, the student’s displacement is $25\\ \\text{m}$ east.","mcqOptions":[{"text":"$$25\\ \\text{m} east$","correct":true,"explanation":"The student finishes $40\\ \\text{m}$ east, then moves $15\\ \\text{m}$ back west, giving a net displacement of $40 - 15 = 25\\ \\text{m}$ east."},{"text":"$$55\\ \\text{m} east$","correct":false,"explanation":"Adding the two sections gives total distance, but displacement uses the net change in position. Subtracting the westward movement gives $25\\ \\text{m}$ east."},{"text":"$$25\\ \\text{m} west$","correct":false,"explanation":"The magnitude is found correctly by subtracting $15\\ \\text{m}$ from $40\\ \\text{m}$, but the larger movement is east. The correct displacement is $25\\ \\text{m} east$."},{"text":"$$15\\ \\text{m} east$","correct":false,"explanation":"This treats the westward distance as though it were the remaining eastward displacement. The net change is $40 - 15 = 25\\ \\text{m}$ east."}]}]}],"examCountdown":{"examDate":"2027-05-25","paperLabel":"Paper 1"},"heading":"5.6.1a Distance and displacement","title":"5.6.1a Distance and displacement Flashcards","topbar":{"backHref":"/gcse/physics/aqa/flashcards"},"topicSidebar":"$L37"}]}],"topicId":"bd9b6c7b-20f0-5377-a5cd-ab524ebf4adc","walled":"$L38"}],"$L39","$L3a"]