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{"id":947915,"type":0,"block_id":"cslu19_1366213970","theme_id":31,"user_id":325180,"path":"Track-Problem-952","title":"","pubtitle":"Track Problem","tags":"","public":true,"publicAccess":true,"private_link_enabled":0,"thumb":"https://s3-eu-west-1.amazonaws.com/infogram-thumbs-200/cslu19_1366213970.jpg","width":558,"copyright":"Copyright Notice","properties":{"publishType":0,"transparent":false,"rtl":false,"export_settings":{"showGrid":true,"showValues":true},"whitelabel":false,"embed_button":"enabled","title_link":"infogram","custom_logo":"infogram","custom_link_url":"","embed_button_text":"Share","decimal_separator":".,"},"elements":[{"type":"particle","particle_id":942598,"object_id":"cslu19_1366213970","particle_type":"quote","picture":null,"text":"Track Problem","content_type":"","title":"Catherine lu","shrink":null},{"type":"chart","chart_id":1504001,"object_id":"cslu19_1366661259","chart_type_nr":23,"data":[[["200+2*3.14(32+(x-1)1.25)","The formula to find the distance around a track. The x equals the lane number you're running in.","downPath",""],["+200","The +200 is the two straightaways. Each straightaway is 100 meters long. The straightaways are always stay the same in every lane.","starPath"],["2*3.14","Pi is rounded to 3.14. The formula 3.14*2*radius is for finding the circumference, or curve, of a circle. The radius in this formula is 32+(x-1)1.25.","circlePath"],["32+(x-1)1.25","This is the formula to find the radius of the curve.The x equals the lane number. You multiply that by 1.25 because each lane's width is 1.25 meters. Then you add 32, which is the radius of the original curve.","starPath"]]],"custom":{},"colors":["#ff414d","#339bd6","#ff9000","#71933b","#287f8a","#ffacdd","#929292","#77c300","#9af3ff","#aa126b"],"dimensions":[],"modifier":0,"sheetnames":[],"sheets_settings":[]},{"type":"particle","particle_id":997121,"object_id":"cslu191366731065","particle_type":"bodytext","picture":null,"text":"A track is made up out of two semi-circles and a rectangle.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1015686,"object_id":"cslu19_1366842876","particle_type":"image","picture":"http://s3-eu-west-1.amazonaws.com/infogram-particles-700/cslu19_1366842876.png"},{"type":"particle","particle_id":1014802,"object_id":"cslu19_1366837716","particle_type":"image","picture":"http://s3-eu-west-1.amazonaws.com/infogram-particles-700/cslu19_1366837716.png"},{"type":"particle","particle_id":987487,"object_id":"cslu191366663941","particle_type":"maintitle","picture":null,"text":"Question #1:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":987465,"object_id":"cslu191366663884","particle_type":"bodytext","picture":null,"text":"On a 10-lane track, how much farther is it to run in lane 7 compared to lane 1 if you run four laps?","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988430,"object_id":"cslu191366669702","particle_type":"bodytitle","picture":null,"text":"Answer","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988535,"object_id":"cslu191366670153","particle_type":"bodytext","picture":null,"text":"On a 10-lane track, you have to run -","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988768,"object_id":"cslu191366671654","particle_type":"bodytext","picture":null,"text":"about 192.24 meters more for 4 laps.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988432,"object_id":"cslu191366669708","particle_type":"bodytitle","picture":null,"text":"Work","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1016082,"object_id":"cslu191366845227","particle_type":"bodytext","picture":null,"text":"x=7 because you're in lane 7.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988842,"object_id":"cslu191366672025","particle_type":"bodytext","picture":null,"text":"Use formula: 200 + 2 * 3.14 (32 + (7-1) 1.25) = 448.06 meters","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988844,"object_id":"cslu191366672030","particle_type":"bodytext","picture":null,"text":"448.06 meters multiplied by the number of laps (4 laps) around the track.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988849,"object_id":"cslu191366672043","particle_type":"bodytext","picture":null,"text":"Then, multiply the number of laps (4) around the track and 400 to find the distance around the track in lane 1. Finally, subtract the number of meters in lane 7 and the number of meters in lane 1 to find the difference.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":987495,"object_id":"cslu191366663987","particle_type":"maintitle","picture":null,"text":"Question #2:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":987501,"object_id":"cslu191366664003","particle_type":"bodytext","picture":null,"text":"On a 10-lane track, how much farther is it to run in lane 10 compared to lane 1 if you run four laps?","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988433,"object_id":"cslu191366669715","particle_type":"bodytitle","picture":null,"text":"Answer","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988769,"object_id":"cslu191366671659","particle_type":"bodytext","picture":null,"text":"On a 10-lane track, you have to run -","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988836,"object_id":"cslu191366672013","particle_type":"bodytext","picture":null,"text":"about 286.44 meters more for 4 laps.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988435,"object_id":"cslu191366669721","particle_type":"bodytitle","picture":null,"text":"Work","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":1016080,"object_id":"cslu191366845218","particle_type":"bodytext","picture":null,"text":"x=10 because you're in lane 10.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988846,"object_id":"cslu191366672034","particle_type":"bodytext","picture":null,"text":"Use formula: 200 + 2 * 3.14 (32 + (10-1) 1.25) = 471.61 meters","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988847,"object_id":"cslu191366672039","particle_type":"bodytext","picture":null,"text":"471.61 meters multiplied by the number of laps (4) around the track.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988851,"object_id":"cslu191366672047","particle_type":"bodytext","picture":null,"text":"Then, multiply the number of laps (4 laps) around the track and 400 to find the total distance around track in lane 1. Finally, subtract the number of meters in lane 10 and the number of meters in lane 1 to find the difference.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":987499,"object_id":"cslu191366663996","particle_type":"maintitle","picture":null,"text":"Question #3:","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":987507,"object_id":"cslu191366664014","particle_type":"bodytext","picture":null,"text":"If you ran at the same speed, how much slower would your mile time be if you run only in lane 1 compared to lane 1?","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988437,"object_id":"cslu191366669726","particle_type":"bodytitle","picture":null,"text":"Answer","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988840,"object_id":"cslu191366672021","particle_type":"bodytext","picture":null,"text":"Running the mile in lane 2 instead of lane 1 will make my mile time about 7 seconds slower.","content_type":"","title":"","shrink":null},{"type":"chart","chart_id":1505970,"object_id":"cslu19_1366675300","chart_type_nr":23,"data":[[["7:30","Time it takes me to run the mile in lane 1.","profilePath",""],["7:37","Time it takes me to run the mile in lane 2.","profilePath"]]],"custom":{},"colors":["#ff9000","#a7e14c","#5bb7c3","#959595","#287f8a","#4c4c4c","#005863","#000000","#9af3ff","#e2e2e2"],"dimensions":[],"modifier":0,"sheetnames":[],"sheets_settings":[]},{"type":"particle","particle_id":988441,"object_id":"cslu191366669732","particle_type":"bodytitle","picture":null,"text":"Work","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":988852,"object_id":"cslu191366672051","particle_type":"bodytext","picture":null,"text":"Use the formula and make x equal to 2. ","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":989260,"object_id":"cslu191366675288","particle_type":"bodytext","picture":null,"text":"200 + 2 * 3.14 (32 + (2-1) 1.25) = 408.81 meters","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":989261,"object_id":"cslu191366675294","particle_type":"bodytext","picture":null,"text":"Multiply by 4 to find mile distance because 4 laps in lane 1 equal a mile.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":989841,"object_id":"cslu191366679824","particle_type":"bodytext","picture":null,"text":"408.81*4 = 1635.24 meters","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":989919,"object_id":"cslu191366680228","particle_type":"bodytext","picture":null,"text":"Then, subtract the mile distance in lane 2 and the mile distance in lane 1.","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":989923,"object_id":"cslu191366680238","particle_type":"bodytext","picture":null,"text":"1635.24 - 1600 = 35.24 meters ","content_type":"","title":"","shrink":null},{"type":"particle","particle_id":989947,"object_id":"cslu191366680480","particle_type":"bodytext","picture":null,"text":"35.24 meters is the difference in distance. You have to divide 35.24 by 5 because the average person runs about 5 meters every second.","content_type":"","title":"","shrink":null},{"type":"chart","chart_id":1506411,"object_id":"cslu19_1366679815","chart_type_nr":23,"data":[[["5","Number of meters per second an average person runs.","boyPath",""],["","",""]]],"custom":{},"colors":[],"dimensions":[],"modifier":0,"sheetnames":[],"sheets_settings":[]},{"type":"particle","particle_id":987591,"object_id":"cslu191366664508","particle_type":"maintitle","picture":null,"text":"Graphs","content_type":"","title":"","shrink":null},{"type":"chart","chart_id":1458739,"object_id":"cslu19_1366213970","chart_type_nr":6,"data":[[["Laps","1","2","3","4"],["Lane 1","400","800","1200","1600"],["Lane 2","408.81","817.62","1226.43","1635.24"],["Lane 3","416.66","833.32","1249.98","1666.64"],["Lane 4","424.51","849.02","1273.53","1698.04"],["Lane 5","432.36","864.72","1297.08","1729.44"],["Lane 6","440.21","880.42","1320.63","1760.84"],["Lane 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