3+<6,&6([DP. September 29, SID (last 5 digits): --

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1 +<6,&6DP Spmr 9, Nam Las, Firs: Sion: SID las 5 digis: -- You ha 6 minus o ompl h am. Formula ar proidd on a spara olord sh. You may NOT us any ohr ormula sh. You may us a alulaor. hn alulaing numrial alus, sur o kp rak o unis. Rsuls mus inlud propr unis. B alr o h numr o signiian igurs in h inormaion gin. Rsuls mus ha h orr numr o signiian igurs. I you ar unal o sol a prolm whos soluion is ndd in anohr prolm, hn assign a symol or h soluion o h irs prolm and us ha symol in soling h sond prolm. I you nd addiional spa o answr a prolm, us h ak o h sh i is wrin on. Mark your answrs larly y drawing os around hm. Plas wri larly. You may gain marks or a parially orr alulaion i your work an diphrd.

2 Prolm 1: 5 poins Th quaion o moion or an oj is gin y: whr is a posiion whih is gin in mrs, is h im whih is gin in sonds and,, and ar onsans. Find h ollowing: a. 5 ps d/d. 1 ps Eprss h omponn o h loiy as a union o using h ollowing ormula:. ps Th unis o d. ps Th unis o. ps Th unis o. 4 ps Is his a moion wih onsan alraion? hy? lim. or Us 1 d d A na d d n n? ^ ` ^ ` lim?? m/s m/s s No, aus o h rm. a = 6 + Æ No onsan

3 Prolm a: poins Rading graph An oj mos in a sraigh lin as dsrid y h posiion rsus im graph in h igur. Thr ar wo yps o im inrals: AB, CD and DE ar paraola; BC is sraigh. Skh Ÿ- and a- graphs or h oj s moion. A D E m B C s Ÿ m/s 1ps ps ps ps s a m/s ps 1ps ps ps s

4 Prolm : 5 poins Rading graph A prson iniially a poin P in h illusraion says hr a momn and hn mos along h ais o Q and says hr a momn. Sh hn runs quikly o R, says hr a momn, and hn srolls slowly ak o P. hih o h posiion s. im graphs low orrly rprsns his moion?

5 Prolm : 5 poins Considr h sr parn as shown in h igur low. Eah inrsion has a rai signal and h spd limi is V limi = 5. km/h 1.9 m/s. Suppos you ar oming rom h s a h spd limi and whn you ar d = 1. m rom h irs inrsion, all h lighs urn grn. Th lighs ar grn or T grn = 1. s ah or urning o rd. Ignor yllow lighs. Ignor h lngh o your ar and your raion im. Ignor air riion. a. 1 ps Can you mak i hrough all h lighs wihou sopping? Eplain why.. 15 ps Anohr ar was soppd a h irs ligh whn all h lighs urnd grn. I an alra a h ra o. m/s o h spd limi. Can h sond ar mak i hrough all h lighs wihou sopping? Eplain why. a This o pass hrough all lighs or h lighs urn rd. Us Thus is a moion wih onsan loiy. Oain h, d D V limi whr V limi 1.9 m/s and 1.6 s. This is or 1.s im ndd or your ar oal disan d D D = 165 m 175 m. Answr: Ys. You an pass hrough all h lighs or h lighs ar grn. Cas 1 Tra his as a moion wih onsan Oain h im ndd or h sond ar o pass hrough all lighs or h lighs urn rd and hk h spd. Us Thus A Cas Firs, h ar alras I 1 a 1.8 s, a rahs, whr 165 m/. m/s. m/s 1.8 s o h ar s loiy is : h spd limi 165 m 1.8 s. 5.6 m/s, in 6.95 s Ar ha, h ar kps h spd limi a moion wih a onsan loiy. I aks anohr 8.4 s o pass h rmaing lighs Thus, h oal lapsd im is 6.95 s and a o h spd limi 1.9 m/s. V 8.4 s Th sond ar an no pass all h lighs in 1s. D alrai on.. m/s This is or 1. s. whih is or h spd limi. limi. m/s 15.4 s. and rals 48. m. 165 m 48. m/1.9 m/s. 1 ps i Ys wih a orr rason. 15 ps Answr: No, wihou h spding ik!

6 Prolm 4: 5 poins A projil is launhd rom ground ll o h op o a li whih is R = 195 m away and H = 155 m high. Th projil lands on op o h li T = 7.6 s ar i is ird. Us sintost = sinti nssary. Th alraion du o graiy is g = 9.8 m/s poining down. Ignor air riion. Din your oordina inluding h origin and ind a ormula o ant in rms o g, R, H and T. Soluions y ps ps or or wo wo orr orr qs. qs. plus plus h h oordinas oordinas 1 1 ps ps or or soling soling qs. qs. No No or or grading.

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