Name: Unit II. Constant Velocity
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1 Name: Period: Table #: Uni II Consan Velociy 1
2 Toy Car Lab Purpose: To graphically and mahemaically deermine he moion of a oy car Posiion (m) Time rial 1 (sec) Time rial 2 (sec) Time rial 3 (sec) Ae. ime (sec) Graph Regardless as o which ariable is he independen and which one is he dependen his is one of hose imes where we need o specify which ariable goes on a specific ais for your graph Pu Posiion on he y-ais Pu Aerage Time on he -ais 2
3 Toy Car Pos Lab Quesions 1. Wha was he independen ariable and how did you change i? 2. Wha was he dependen ariable and how did you measure i? 3. Wha was he mahemaical equaion (in y =m +b form) from your graph (include # s and unis)? 4. Wha is he meaning of he slope in he aboe quesion (look a he unis of your slope hen look a boom of page for help)? 5. Wha is he meaning of he y-in. in he aboe quesion (don say i s where he line crosses he y- ais, ha does no answer he quesion) 6. Wha is he general equaion from #3 (no numbers or unis, only ariables) 7. Wrie 1 senence relaing he wo ariables (can only use direc if i was a sraigh line on he firs graph). Eplain wha direc, inerse, or eponenial means in your senence. Uni meanings. m = displacemen m/s = elociy m/s/s = acceleraion m/s 2 = acceleraion Kg = mass kg m/s 2 = Force Newon = Force N m = Joule= Energy N/kg = graiaional field consan N/m = spring consan 3
4 UNIT II Workshee 1 1. Consider he posiion s. ime graph below for cycliss A and B. (m) A B 5 (s) a. Do he cycliss sar a he same poin? How do you know? If no, which is ahead? b. A = 7s, which cyclis is ahead? How do you know? c. Which cyclis is raelling faser a = 3s? How do you know? d. Are heir elociies equal a any ime? How do you know? e. Wha is happening a he inersecion of lines A and B? 4
5 2. Consider he new posiion s. ime graph below for cycliss A and B. (m) New Graph A (m) Preious Graph A B B 5 (s) 5 (s) a. How does he moion of he cyclis A in he new graph compare o ha of A in he preious graph from page one? b. How does he moion of cyclis B in he new graph compare o ha of B in he preious graph? c. Which cyclis has he greaer speed? How do you know? d. Describe wha is happening a he inersecion of lines A and B. e. Which cyclis raeled a greaer disance during he firs 5 seconds? How do you know? 5
6 Workshee 2 1. Describe moion of he car shown by he graph. 2. Answer he following quesions abou he car s moion. Assume he posiie d-direcion is eas and negaie is wes. a. When was he car 25 m eas of he origin? b. Where was he car a 1 second? 3. Describe he moion of he wo pedesrians shown. Assume he posiie direcion is eas on Broad S. and he origin is he inersecion of Broad and High S. 6
7 4. Odina walked down he hall a school from he cafeeria o he band room, a disance of 100m. A class of physics sudens recorded and graphed her posiion eery 2 seconds, noing ha she moed 2.6 meers eery 2 seconds. When was Odina in he following posiions? a m from he cafeeria b m from he band room c. Creae a graph showing Odina s moion 7
8 1. Wha een occurred a = 0.0 seconds? Workshee 3 2. Wha een occurred a 45 seconds? 3. Which runner was ahead a 48.0 seconds? 4. When runner A was a 0 meers, where was B? 5. How far apar were A and B a 20.0 seconds? 6. Juania goes for a walk. Someime laer, her friend Heaher sars o walk afer her. Their moemens are represened by he graph. a. How long had Juania been walking when Heaher sared her walk? b. Will Heaher cach up o Juania? How do you know? 8
9 7. From he moion map of a baby crawling across a kichen floor, plo a posiion- ime graph o represen his moion. The ime ineral beween dos is 1 second. 0 m 20 m 40 m 60 m 80 m 100 m 120 m 140 m 160 m 8. Creae a moion map from he posiion-ime graph of a hockey puck sliding across and frozen pond. 9. Use he posiion-ime graph of he hockey puck o deermine when i was 10.0 m beyond he origin. 10. Use he posiion- ime graph of he hockey puck o deermine he disance raeled beween 0.0 and 5.0 seconds 11. Use he posiion- ime graph of he hockey puck o deermine how much ime i ook for he puck o moe from 40m beyond he origin o 80m beyond he origin. 12. Predic where he puck will be 9 seconds afer i was sruck. 9
10 13. Look a he moion map and posiion ime graph shown. Do hey describe he same moion? How do you know? Don confuse he posiion coordinae sysem in he paricle model wih he horizonal ais in he posiion-ime graph. The ime inerals of he moion map is 1 seconds. 0 m 4 m 8 m m 22 m 10
11 UNIT II: Graph Shape Phun Aciiy Par 1: Using he Moion Sensors and Daa Sudio program: Read he Siuaions Presened and Skech a Predicion of wha he Posiion. Time and Velociy. Time Graph should look like Afer you skech your predicions, walk he differen siuaions and copy he Posiion s. Time and Velociy. Time graphs from he compuer. Forward = Away from he sensor Backward = Toward he sensor 1. A res for 2 seconds, hen walk forward a a consan elociy. Predicions Acuals 2. Walk forward wih consan elociy ha is faser han #1 Predicions Acuals 11
12 3. A res for 2 seconds, hen walk backward a a consan elociy. Predicions Acuals 4. Consan speed forward for 2 seconds, a res for 2 seconds, he same consan speed backwards for 2 seconds Predicions Acuals 5. Consan speed forward for 2 seconds, speeding up forward for 2 seconds, a res for 2 seconds Predicions Acuals 12
13 Par 2: Describe he moion presened by each graph. Now, walk according o he gien posiion. ime graph using your descripion as a guide. Skech he elociy. ime graph ha resuls. 6. Descripion: 7. Descripion: 8. Descripion: 13
14 Workshee 4 1. This is he graph of wo people running. a. Describe he posiion of runner A relaie o runner B a he y-inercep b. Which runner is faser? c. Wha occurs a poin P? Wha occurs afer poin P? 2. The posiion-ime graph shows he moion of 4 cows walking from he pasure back o he barn. Rank he cows according o heir aerage elociy from slowes o fases. 14
15 3. To he righ is a posiionime graph for a rabbi running from a dog. a. Describe how his graph would be differen if he rabbi ran wice as fas b. Describe how his graph would be differen if he rabbi ran in he opposie direcion 4. Below is a posiion-ime graph for Joszi & Heike paddling canoes in a rier. a. A wha ime(s) are Joszi and Heike in he same place? b. How much ime does Joszi spend in he rier before he passes Heike? c. Where on he rier does here seem o be a swif curren? Eplain. Joszi Heike 15
16 5. Boh car A and car B leae school when a sopwach reads zero. Car A raels a 75 km/hour and car B raels a 85 km/hour. a. Draw a posiion-ime graph showing he moion of boh cars. How far are he wo cars from he school a 2 hours? Calculae he disances and show hem on he graph. b. Boh cars passed a gas saion 120 km from he school. When did each car pass he gas saion? Calculae he imes and show hem on he graph. 6. This is a posiion ime graph showing Jims moemen up and down he aisle a a sore. The origin is a one end of he aisle. a. On he back, wrie a sory ha would eplain Jim s moemens corresponding wih he graph. b. When is he a 6m? 7. Is i possible for an objecs posiion ime graph o be a horizonal line? A erical line? If you answer yes o eiher siuaion, describe he associaed moion wih words. 16
17 6a Eplanaion: (Hin: He makes 9 differen moions o make up his graph) 17
18 UNIT II: Workshee 5 Skech elociy s ime graphs corresponding o he following descripions of he moion of an objec. Below he descripion, skech he posiion s. ime graph as well. 1. The objec is moing away from he origin a a consan (seady) speed. 2. The objec is sanding sill. 3. The objec moes oward he origin a a seady speed for 10s, hen sands sill for 10s. 4. The objec moes away from he origin a a seady speed for 10s, reerses direcion and moes back oward he origin a he same speed. 18
19 Draw he elociy s ime graphs for an objec whose moion produced he posiion s ime graphs shown below a lef
20 UNIT II: Workshee 6 1. Robin, roller skaing down a marked sidewalk, was obsered o be a he following posiions a he imes lised below: (s) (m) a. Plo a posiion s. ime graph for he skaer. b. How far from he saring poin was he a = 6s? How do you know? c. Wrie a mahemaical model o describe he cure in (a). d. Was his speed consan oer he enire ineral? How do you know? 20
21 2. The following daa were obained for a second rial: (s) (m) a. Plo he posiion s. ime graph for he skaer. b. How far from he saring poin was he a = 5s? How do you know? c. Was his speed consan? If so, wha was i? d. In he firs rial he skaer was furher along a 2s han he was in he second rial. Does his mean ha he was going faser? Eplain your answer. 21
22 3. Suppose now ha our skaer was obsered in a hird rial. The following daa were obained: (s) (m) a. Plo he posiion s. ime graph for he skaer. b. Wha do you hink is happening during he ime ineral: = 4s o = 6s? How do you know? c. Wha do you hink is happening during he ime ineral: = 6s o = 12s? How do you know? d. Deermine he skaer's aerage speed from = 0s o = 12s. e. Deermine he skaer's aerage elociy from = 0s o = 12s. 22
23 UNIT II: Workshee 7 0 sec 4 sec 0 m 9 m 1. From he moion map aboe, answer he following: a. Wha can you conclude abou he moion of he objec (acceleraing, consan elociy, no moing)? b. Draw a qualiaie graphical represenaion of s (see below). c. Draw a qualiaie graphical represenaion of s (see below). d. Wrie a mahemaical epression ha represens he relaionship beween and, from fig. 1. e. Wrie a mahemaical epression ha represens he relaionship beween and, from fig. 2 f. Describe wha he area under he cure in fig. 2 represens. Cross hach his area on he graph. 23
24 2. From he posiion s ime daa below, answer he following quesions. (s) (m) a. Consruc a qualiaie graph of posiion s ime. b. Consruc a qualiaie graph of elociy s ime. c. Draw a moion map for he objec. d. Deermine he displacemen from = 3.0s o 5.0s using graph B. e. Deermine he displacemen from = 7.0 s o 9.0 s using graph B. 24
25 Workshee 8 Fill in he able from he gien informaion s Graph s Graph Wrien Descripion Moion Map 25
26 1. Consider he posiion s ime graph a righ. a. Deermine he aerage elociy of he objec. UNIT II: Reiew b. Wrie a mahemaical equaion o describe he moion of he objec. 2. Shown a righ is a elociy s ime graph for an objec. a. Describe he moion of he objec. b. Draw he corresponding posiion s ime graph. Number he - ais. c. How far did he objec rael in he ineral =1s o =2s? d. Wha is he oal displacemen? Eplain how you go he answer. 26
27 3. Johnny dries o Wisconsin (1920 miles) in 32 hours. He reurns home by he same roue in he same amoun of ime. a. Deermine his aerage speed. b. Deermine his aerage elociy. c. Compare hese wo alues and eplain any differences. 4. Consider he s graph below. a. Describe he behaior of he objec depiced in he graph. b. Draw a moion map ha represens he behaior of he objec. 6. A race car raels a a speed of 95 m/s. How far does i rael in 12.5 s? Use he appropriae mahemaical model and show how unis cancel. 27
28 Calculaion Answers for Uni 2 Packe Since you hae he answers o hese quesions, your eacher will be looking for he work as o how you go o he answers o receie credi. Be sure o ALWAYS show ALL of your work for ANY calculaions!! Workshee 2 4a. 19 sec 4b. 58 sec Workshee m Workshee 4 5b. Car A = 1.6 hrs Car B = 1.4 hrs Workshee 6 1b. 12 m 2b. 15 m 2c. 3 m/s 3d. 2 m/s 3e. 0 m/s Workshee 7 2d. 6m 2e. 10 m Uni Reiew 1a. 8.3 m/s 1d. 5m 3a. 60 mph m 28
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