Constant Acceleration Model
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1 Physics / Uni III / CAPM Nme: Consn Accelerion Model Physicl Quniy Descripion Symbol Unis CAPM Model Summry from Modeling Workshop Projec 6
2 Physics / Uni III / CAPM Skech nd lbel he eperimen seup: Rmp nd Cr Eperimen Wh could we mesure? How could we mesure i? Mke skeches of he grphs h he moion sensor nd D Sudio mke. Do his only fer your echer gies you he OK upon checking your compuer screen. Remember o do seerl rils before sking your echer o check. from Modeling Workshop Projec 6
3 Physics / Uni III / CAPM Rmp & Cr Eperimen (Pos-Lb) Uni I Consn Velociy Model Uni III Consn Accelerion Model from Modeling Workshop Projec 6
4 Physics / Uni III / CAPM Wlk-A-Grph From Minds-On Physics () A mrble is rolled consn speed long horizonl surfce owrd he origin. The mrble is relesed disnce of meer wy from he origin. () A block sis res on ble meer boe he floor. Tke he origin o be he leel of he floor. () A bll is dropped from heigh of meers boe he floor. Tke he origin o be he poin from which he bll is relesed. (4) A bll is rolled long horizonl surfce. The bll srikes wll nd rebounds owrd he origin. (5) A cr is prked on seep hill. () () () (4) A block is dropped from res wih heigh of meer boe he floor. Tke he origin o be he leel of he floor. A mrble is relesed from he op of n inclined plne. Assume h posiie is mesured down he plne. A bll is hrown srigh up ino he ir. Tke he origin o be he leel of he floor. A bll rolls long horizonl surfce wihou chnging speed. The bll srikes wll nd rebounds owrd he origin pproimely he sme speed s before. (5) A mrble rolls on o piece of fel, eenully sopping. from Modeling Workshop Projec 6 4
5 Physics / Uni III / CAPM Workshee : Grphs of Moion wih Chnging Velociy. Consider he elociy-s-ime grphs nd describe he moion of he objecs. 6 Objec A 6 Objec B 8 8 (m/s) (m/s) (s) (s) Deermine he displcemen beween 4 nd 8 seconds. Show work Deermine he erge ccelerion during he firs seconds. Show work Describe he moion in words. Skech moion mp. Be sure o include boh elociy nd ccelerion ecors. 5 from Modeling Workshop Projec 6
6 Physics / Uni III / CAPM. Use he elociy-s-ime grph o nlyze he moion of he objec.. Gie wrien descripion of he moion. b. Skech moion mp. Be sure o include boh elociy nd ccelerion ecors. c. Deermine he displcemen of he objec from = s o = 4 s. d. Deermine he displcemen of he objec from = 4 s o = 8 s. e. Deermine he displcemen of he objec from = s o = 6 s. f. Deermine he objec s ccelerion = 4 s. g. Skech possible posiion-s-ime grph for he moion of he objec. Eplin why your grph is only one of mny possible grphs. from Modeling Workshop Projec 6 6
7 Physics / Uni III / CAPM Workshee : Muliple Quliie Represenions. In ech ble below, he moion is described by elociy-s-ime grph. The oher represenions he been lef blnk.. Complee he missing represenions. b. If you he ime, ry o recree hese grphs (- nd - ONLY) by moing in fron of he moion sensor. Wrien Descripion In ll quesions, form your senences by using (mong ohers) he following ypes of phrses: speeding up, slowing down, posiie direcion, negie direcion, sring from res, urning round. Do NOT use he word (or ny form of he word) ccelere in your descripion. Moion Mp Skech noher possible posiion-s-ime grph for he moion represened boe. Why re here mny possible posiion-s-ime grphs for his sme moion? In fc, how mny possible correc posiion-s-ime grphs re here? How mny incorrec? 7 from Modeling Workshop Projec 6
8 Physics / Uni III / CAPM Wrien Descripion Moion Mp Wrien Descripion Moion Mp from Modeling Workshop Projec 6 8
9 Physics / Uni III / CAPM Wrien Descripion Moion Mp Wrien Descripion Moion Mp 9 from Modeling Workshop Projec 6
10 Physics / Uni III / CAPM Scks of Kinemics Cures Gien he following posiion s ime grphs, skech he corresponding elociy s ime nd ccelerion s ime grphs. For ech problem (or pr of problem), ell wheher he forces on he objec mus be blnced or unblnced. If hey re unblnced, sy wheher hey re unblnced in he posiie or negie direcion. from Modeling Workshop Projec 6
11 Physics / Uni III / CAPM For he following elociy s ime grphs, drw he corresponding posiion s ime nd ccelerion s ime grphs. For ech problem (or pr of problem), ell wheher he forces on he objec mus be blnced or unblnced. If hey re unblnced, sy wheher hey re unblnced in he posiie or negie direcion. from Modeling Workshop Projec 6
12 Workshee : More Anlyzing Velociy Grphs 4. An objec moes wih he elociy shown on he grph below. Physics / Uni III / CAPM Velociy m s Time s. Wh is he displcemen of he objec beween ime = nd =. s? b. Wh is he displcemen of he objec beween ime =. s nd = 4. s? c. Wh is he displcemen of he objec beween ime = 4. s nd = 5. s? d. Wh is he displcemen of he objec during he enire firs fie seconds? e. If he objec s sring posiion = is =. m, hen wh is is posiion = 5. s? f. Describe he moion of he objec in words. from Modeling Workshop Projec 6
13 Physics / Uni III / CAPM (m/s) () (m/s) (d) (m/s) (g) Workshee 4: CAPM Rnking Tsks (s) (s) (s) (m/s) (b) (m/s) (e) (m/s) (h) (s) (s) (s) (m/s) (c) (m/s) (f) (m/s) (i) Rnk he siuions ( hrough i) bsed on he ol disnce reled for he objec during he ime shown on he grph. Wrie your nswers on single line using he > nd = signs o show he relionships. (s) (s) (s) Eplin he reson for your rnking. Try o mke single, cler semen h pplies o eery cse rher hn enumering he work for ech cse. 6. Rnk he siuions bsed on he mimum bsolue lue of ccelerion during he ime shown on he grph. Eplin he reson for your rnking. Try o mke single, cler semen h pplies o eery cse rher hn enumering he work for ech cse. from Modeling Workshop Projec 6
14 Physics / Uni III / CAPM The following siuions illusre he posiion of wo differen blls differen imes. The firs bll ( hrough f) rolls wih consn elociy cross horizonl surfce, while he second bll (g hrough l) rolls wih consn ccelerion down n inclined rmp. Boh objecs re posiion zero ime =, nd boh re posiion = d ime = 6 s. () = s, pos = m (b) = s (c) = 4s (d) = 6s, pos = d (e) = 8s (f) = s (g) =, =, = (h) = s (i) = 4s (j) = 6s, pos = d (k) = 8s (l) = s 7. Rnk ech siuion ( hrough l yes, ll ogeher, no wo sepre liss) ccording o he posiion long he surfce of he bll he indiced ime. Wrie your nswer on single line, using he > nd = signs o show he relionships. NOTE: The picures re no drwn o scle, so you cnno rely on hem o show which bll is hed. Eplin he reson for your rnking. Try o mke single, cler semen h pplies o eery cse rher hn enumering he work for ech cse. Rnk ech siuion ( hrough l) ccording o he insnneous elociy of he bll he indiced ime. Wrie your nswer on single line, using he > nd = signs o show he relionships. NOTE: The picures re sill no necessrily drwn o scle. Eplin he reson for your rnking. Try o mke single, cler semen h pplies o eery cse rher hn enumering he work for ech cse. from Modeling Workshop Projec 6 4
15 Physics / Uni III / CAPM Workshee 5: Apply he Model 8. Red he following hree problems nd consider if he Consn Velociy Pricle Model (CVPM) pplies. I. A Mc Truck srs from res nd reches speed of 8.5 m/s in seconds. II. A dune buggy rels for seconds speed of 8.5 m/s. III. A drier sees deer in he rod hed nd pplies he brkes. The cr slows o sop from 8.5 m/s in seconds.. For ech of he hree boe problems, sy wheher CVPM pplies, wheher BFPM pplies, wheher CAPM pplies, or wheher none of hose models pply, nd eplin your resoning. b. For ech problem where CAPM pplies, drw les hree digrms nd/or grphs o illusre he siuion. Choose he digrms nd grphs h you find mos useful. c. Using he consn ccelerion pricle model, sole for ny unknown quniies. Show your work nd use unis. 5 from Modeling Workshop Projec 6
16 Physics / Uni III / CAPM For he following problems, complee soluion will consis of () les hree digrms nd/or grphs o represen he siuion. (Use he ones you find mos useful.) (b) deerminion of he quniies for which i is possible o sole. (c) cler presenion of he procedure used o produce numericl nswer for ech unknown quniy, wih unis. 9. A cr whose iniil speed is m/s slows uniformly o m/s in 5 seconds.. A ber spies some honey m wy nd kes off from res, ccelering re of. m/s. from Modeling Workshop Projec 6 6
Constant Acceleration Model
Honors Physics / Uni 03 / CAPM Nme: Consn Accelerion Model Uni I Consn Velociy Model Uni III Consn Accelerion Model 1 from Modeling Workshop Projec 2006 Skech nd lbel he seup: Rmp nd Cr Inesigions Honors
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