a 10.0 (m/s 2 ) 5.0 Name: Date: 1. The graph below describes the motion of a fly that starts out going right V(m/s)

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1 Name: Dae: Kinemaics Review (Honors. Physics) Complee he following on a separae shee of paper o be urned in on he day of he es. ALL WORK MUST BE SHOWN TO RECEIVE CREDIT. 1. The graph below describes he moion of a fly ha sars ou going righ. V(m/s) D E F -5.0 A G 20 J ime (s) C H I B - a. Idenify secion(s) where he fly moves wih consan velociy going lef. b. Idenify secion(s) where he fly moves righ slowing down. c. Idenify secion(s) where he fly moves lef speeding up. d. When is he fly a res? e. Wha is he average velociy of he fly beween 0 and 11 seconds? f. Wha is he average speed of he fly in he same ime inerval? g. Wha is he average acceleraion of he fly in his ime inerval? h. Wha is he oal displacemen of he fly from 0 o 22 seconds? i. Idenify he imes when he fly changes direcion. j. Draw an acceleraion vs. ime graph for he fly in he graph below. a 10.0 (m/s 2 ) ime (s)

2 2. Lile Joey plays wih his remoe conrol car, and generaes he moion graph below. The car sars by moving eas. x (m) A B Time (s) -5.0 C E F G D a. Idenify secion(s) where he car moves wih consan velociy. b. Idenify secion(s) where he car moves wes. c. Idenify secion(s) where he car speeds up. d. When is he car a res? e. Wha is he average velociy of he car beween 0 and 15 seconds? f. Wha is he average speed of he car in he same ime inerval? g. Wha is he oal displacemen of he car from 0 o 22 seconds? h. Describe he moion of he car in he secions F and G aken ogeher. i. Draw a velociy vs. ime graph describing he moion of he car from 0-20s. (An approximae shape is accepable from 15-20s) 10.0 V(m/s) ime(s) An archiec is designing a modern airpor. The larges passenger je uilizing his airpor in he fuure is expeced o have a maximum acceleraion of 3.2 m/s 2, and a minimum akeoff speed of 165 km/hr. Wha is he minimum runway lengh for safe akeoff?

3 4. A car sopped a a red ligh sars moving when he ligh urns green and acceleraes a he rae of 2.7 m/s 2 for 15 seconds. The driver coninues a his speed for wo minues, unil he sees he nex raffic signal urning red 191 m away. He reacs afer 2 seconds and slams on his brakes. a. Wha is he car s acceleraion if he sops jus as he reaches he ligh? b. Wha is he oal disance covered by he car? c. Skech v vs and x vs graphs for his moion below. V x 5. A police officer, waiing for he ligh o change a an inersecion observes a car wih no licence plaes in he lane nex o him. The ligh changes and he car moves forward wih an acceleraion of 3.0 m/s 2. Two seconds laer he officer akes off in ho pursui wih an acceleraion of 3.5 m/s 2. Afer wha ime will he officer cach he oher car? 6. James leaves his home own raveling a 70 miles per hour. An hour laer Paul leaves home raveling a 75 miles per hour. The wo live 580 miles apar. How long since Paul lef his home will i be before hey pass each oher on he highway? How far away from James homeown are hey when hey pass each oher? 7. a. A car sars from res and acceleraes uniformly o a speed of 15 m/s. I akes 4 seconds o reach his speed. This is par 1 of he problem. Wrie your givens for his par and give each variable a subscrip of 1. b. The same car hen his he brakes and uniformly slows o a sop wih an acceleraion of -5 m/s 2. This is par 2 of he problem. Wrie your givens for his par and give each variable a subscrip of 2. (Hin: Remember he final velociy for par 1 is he iniial velociy for par 2.) c. Use kinemaic equaions and your givens o deermine he oal displacemen of he car. d. Draw a moion map ha represens he moion of he car. Label he velociy a each second. e. Skech he shape of he x vs., v vs., and a vs. graphs for he moion of he car. f. Draw a numerically correc v vs. graph. g. Use he graph o deermine he oal displacemen raveled by he car. h. Is his he same as he car s oal disance raveled?

4 Answers: 1. a. E, remember he fly sars ou o he righ, so negaive is righ on his graph b. C, I c. D d. G, J e. 0 f. 8.2 m/s g. 0.91m/s 2 h. 12.5m lef i. 6s, 18s j a a. A, B, C, E b. B, C, F c. G d. D e m/s f. 3 m/s g. -4m h. Backwards, slowing down o a sop and hen forward speeding up i. 15 v m m/s 2, m v x s

5 hrs, 316 miles 7. See las page of his documen for soluions o a-c. d. 0 e. 0 f. 0 Hins and Soluions o some problems: #1: 1e: avg velociy = displacemen / ime... find he area under he curve for each riangle and recangle beween 0 and 11 seconds o find he oal displacemen, hen divide ha oal by he ime 1f: avg speed = oal disance / ime... ake he displacemens you found in par e and make any negaive displacemens posiive because disance is always posiive. Add he disances o ge he oal disance, hen divide ha oal by he ime. 1g: avg acceleraion = change in velociy / ime OR (final velociy - iniial velociy) / ime 1h: coninue o find he area under he curve for each riangle and recangle hen add hem all #5: speeder police vi = 0 vi = 0 a = 3 a = s Δx = vi +1/2 a ^2 Δx = 0 + 1/2 (3) (+2)^2 Δx = vi +1/2 a ^2 Δx = 0 + 1/2 (3.5) ^2 se he equaions equal 1/2 (3) (+2)^2 = 1/2 (3.5) ^2 1.5 (+2) (+2) = 1.75 ^2 1.5( ^2 +4+4) = 1.75 ^2 1.5 ^ =1.75 ^2-0.25^ = 0 Use he quadraic formula... #6: James Paul +1 v=70 v= 75 d 1 d 2 d 1 = 70(+1) d 2 = (75) d 1 + d 2 = 580

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