Nme: Per: L o s A l o s H i g h S c h o o l Physics Uni 1 Workbook 1D Kinemics Mr. Rndll Room 705 Adm.Rndll@ml.ne www.laphysics.com
Uni 1 - Objecies Te: Physics 6 h Ediion Cunel & Johnson The objecies of his uni re o prepre you o be successful in his course. A few of he mny fcors h enble sudens o be successful wih ech uni nd opic in Physics re focused mind, mhemicl liercy, echnology skills nd orgnizionl/lborory skills. To h end, by he end of his uni, you will be ble o: 1. Algebriclly sole in symbols 1 s nd 2 nd degree polynomil equions for ny rible in he equion. 2. Idenify independen nd dependen ribles nd grph hem on recngulr Cresin coordine sysem. 3. Idenify liner, inerse, polynomil nd rdicl proporionliies beween independen nd dependen ribles. 4. Inerpre nd discuss he mening of he slope of liner, inerse, polynomil, nd rdicl relionships beween independen nd dependen ribles. 5. Use spredshee o grph nd clcule he equion of he bes fi line or cure hrough d poins. 6. Use spredshee o orgnize he d colleced in scienific lborory eperimen. 7. Esblish coordine sysem in problems inoling ecor quniies. 8. Define nd discuss displcemen s. disnce, elociy s. speed nd ccelerion. 9. Derie he equions of kinemics for 1 dimensionl moion from he definiions of erge elociy nd erge ccelerion. 10. Sole 1 Dimensionl moion problems using ecor quniies of Displcemen, Velociy nd Accelerion. Reding Chpers 1 & 2 You should pln on spending 30 minues ech dy, ouside of clss ime, sudying physics on your own.
Uni 1 - Assignmens Assignmen Descripion Due De 1 Red Secions: 2.1 2.3, 2.7 Sole Workbook Problems #: 1-5 (PSA Eercises) Tuesdy 8/27 2 Red Secions: 2.4 2.5 Sole Tebook Problems #: 5, 13, 15 3 Red Secion: 2.6 Sole Tebook Problems #: 37, 41, 47 4 Sole Tebook Problems #: 54, 65 Sole All Remining Workbook Problems 5 Sudy For 1D Kinemics Tes Sepember 13 h, 2013
In Eercise 1, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 1. Consider PSA iniilly res in he beginning of he lef-hnd end of long ISS corridor. Assume o = 0 on he lef end of he ISS corridor. A 0 n sronu requess n emergency ideo conference wih ground conrol nd he PSA uniformly cceleres o he righ for seerl seconds > 3. A. For he PSA s moion described boe, In he firs digrm, skech he grph of ccelerion s. ime. In he second digrm, skech he grph of elociy s. ime, nd In he hird digrm skech of displcemen s. ime. B. For he PSA s moion described boe, drw ecors represening Accelerion, Velociy nd Displcemen he four imes lised below. o 1 2 3 o 1 2 3 o 1 2 3 C. In ech cse, circle he nswer h bes describes he siuion. When 1 < < 3 Accelerion is: consn chnging zero posiie negie When 1 < < 3 Velociy is: consn chnging zero posiie negie When 1 < < 3 Displcemen is: consn chnging zero posiie negie
In Eercise 2, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 2. Ground conrol is using PSA s ideo cmer o surey he progress of seerl dozen biology eperimens. A o he PSA is iniilly moing consn speed in srigh line from lef o righ. A 2 ground conrol direcs he PSA o ccelere o greer speed in he sme direcion for seerl seconds > 3. A. For he PSA s moion described boe, In he firs digrm, skech he grph of ccelerion s. ime. In he second digrm, skech he grph of elociy s. ime, nd In he hird digrm skech of displcemen s. ime. B. For he PSA s moion described boe, drw ecors represening Accelerion, Velociy nd Displcemen he four imes lised below. o 1 2 3 o 1 2 3 o 1 2 3 C. In ech cse, circle he nswer h bes describes he siuion. When o < < 2 Accelerion is: consn chnging zero posiie negie When o < < 2 Velociy is: consn chnging zero posiie negie When 2 < < 3 Displcemen is: consn chnging zero posiie negie
In Eercise 3, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 3. Consider PSA iniilly moing consn elociy from lef o righ in long ISS corridor. A o n sronu commnds he PSA o decelere. A 1.5 he PSA sops moing o he righ nd begins ccelering o he lef. A 3 he PSA hs reched he sme consn speed i sred wih, only now moing from righ o lef. A. For he PSA s moion described boe, In he firs digrm, skech he grph of ccelerion s. ime. In he second digrm, skech he grph of elociy s. ime, nd In he hird digrm skech of displcemen s. ime. B. For he PSA s moion described boe, drw ecors represening Accelerion, Velociy nd Displcemen he four imes lised below. o 1 2 3 o 1 2 3 o 1 2 3 C. In ech cse, circle he nswer h bes describes he siuion. When 0 < < 1.5 ccelerion is: consn chnging zero posiie negie When 1.5 < < 3 elociy is: consn chnging zero posiie negie When 0 < < 1.5 displcemen is: consn chnging zero posiie negie
In Eercise 4, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 4. Consider PSA moing op speed in srigh line from lef o righ. Suddenly, n sronu flos down nd sops direcly in fron of he PSA. Beween 0 nd 1 he PSA quickly deceleres o res in order o oid hiing he sronu. Beween 1 nd 2 he PSA sops nd remins res s he sronu moes ou of he wy. A 2 he PSA begins o ccelere from lef o righ unil reching i s op speed. A. For he PSA s moion described boe, In he firs digrm, skech he grph of ccelerion s. ime. In he second digrm, skech he grph of elociy s. ime, nd In he hird digrm skech of displcemen s. ime. B. For he PSA s moion described boe, drw ecors represening Accelerion, Velociy nd Displcemen he four imes lised below. o 1 2 3 o 1 2 3 o 1 2 3 C. In ech cse, circle he nswer h bes describes he siuion. When 0 < < 1 ccelerion is: consn chnging zero posiie negie When 1 < < 2 elociy is: consn chnging zero posiie negie When 2 < < 3 displcemen is: consn chnging zero posiie negie
In Eercise 5, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 5. Consider PSA iniilly res. A 0 he PSA cceleres from lef o righ owrds he cener of long ISS corridor. A 1 he PSA sops ccelering nd coninues moing consn speed unil 2. A 2 he PSA deceleres nd comes o res 3. A. For he PSA s moion described boe, In he firs digrm, skech he grph of ccelerion s. ime. In he second digrm, skech he grph of elociy s. ime, nd In he hird digrm skech of displcemen s. ime. B. For he PSA s moion described boe, drw ecors represening Accelerion, Velociy nd Displcemen he four imes lised below. o 1 2 3 o 1 2 3 o 1 2 3 C. In ech cse, circle he nswer h bes describes he siuion. When 1 < < 2 ccelerion is: consn chnging zero posiie negie When 2 < < 3 elociy is: consn chnging zero posiie negie When 0 < < 3 displcemen is: consn chnging zero posiie negie
Vericl Posiion s. Time of Squirrel P o s i i o n (m) 14 12 10 8 6 4 2 0-2 -4-6 -8-10 -12 0 2 4 6 8 10 12 14 16 18 20 22 Time (s) Consider he boe Posiion s. ime grph boe. I represens he ericl posiion of squirrel s i climbs up nd down ree. The squirrel srs Y = 0 m which represens he lowes brnch on he ree. 1. During which ime inerls is he Squirrel moing: ) owrds he op of he ree? b) wy from he op of he ree? c) no moing? 2. Find he erge elociy for: ) he ime inerl beween 3 5 seconds. 3-5s = b) he ime inerl beween 10. 13 seconds. 10-13s = c) he ime inerl beween 0 20. seconds. V 0-20s =
3. How mny imes does he squirrel reurn o he lowes brnch on he ree? 4. Predic he Squirrel s ccelerion beween =6 nd =10 seconds? 5. Predic he squirrel s elociy = 12.5 s. V 12.5 = 6. When he squirrel s posiion is negie, wh does h men in erms of he squirrels posiion on he ree wih respec o he lowes brnch? 7. A wh ime(s) does he Squirrel chnge direcion? 8. Wh is he Squirrel s mimum displcemen from he lowes brnch? 9. Lis one ime inerl when is he Squirrel speeding up? 10. Lis one ime inerl when he Squirrel slowing down?
Kinemics Grphs Gien eiher n ccelerion, elociy or displcemen grph, skech grphs of he missing wo. Emple: Gien consn posiie elociy skech grphs of ccelerion nd displcemen.. b. c.
d. e. f. g.
In-Clss Problems 1 Dimensionl Kinemics Neglec ir resisnce unless oherwise specified. 1. The posiion of model rdio conrolled cr rcing down srigh rck ws obsered rious imes nd he resuls re summrized in he ble below. (m) 0 2.3 9.2 20.7 36.8 57.5 (s) 0 1.0 2.0 3.0 4.0 5.0 A. Clcule he erge elociy of he cr for he 1s second. B. Clcule he erge elociy of he cr for he ls 3 seconds. C. Clcule he erge elociy of he cr during he 5.0 seconds. D. Skech posiion s ime grph for his d nd show on he grph he hree erge elociies.
2. A LAHS swimmer swims he lengh of 50.0m pool in 20.0s nd mkes he reurn rip o he sring posiion in 22.5s. A. Clcule he erge elociy in he firs hlf of he swim. B. Clcule he erge elociy in he ls hlf of he swim. C. Clcule he erge elociy in he round rip. D. Clcule he erge speed in he round rip. E. Briefly eplin, in complee senences, why he erge elociy is zero nd why he erge speed is no.
3. A ery ligh cheerleder is hrown srigh up in he ir by her collegues. Her iniil elociy upon losing conc wih he hrowers is 14.7 m/s =0. Afer =1.50 s she reches he pe (highes poin) of her ericl rjecory nd sops for n insn before flling downwrd. A. Clcule he cheerleder s erge ccelerion during his 1.50 s inerl? Wh is he significnce of he negie sign of your nswer? B. If he cheerleder coninues o ccelere he sme re, predic he cheerleder s finl elociy jus before she s cugh he sme leel she ws hrown? C. Grph he cheerleder s posiion, elociy nd ccelerion s. ime for he complee sun.
4. Consider cliff dier flling from res from he op of 125 m ll cliff edge. A. Clcule he ime i kes he dier o rech he wer below he cliff s edge. B. Clcule he elociy of he cliff dier jus before she reches he wer. C. Clcule he erge elociy of he cliff dier during her freefll. D. Grph he cliff dier s posiion, elociy nd ccelerion s. ime.
5. Consider furniure moer rying o se ime by lunching boes upwrd from he ground leel o noher moer lening ou 3 rd sory window. If he second moer s hnds re 11.5 m boe he ground A. Clcule he iniil elociy bo mus he such h he 2 nd moer cn rech ou nd grb he bo when i s is pe. B. Clcule he ime for he bo o rech is pe. C. If he 2 nd moer doesn cch he bo, predic is elociy jus before i his he ground. D. Grph he posiion, elociy nd ccelerion s. ime for he bo from he ground o pe.
6. Consider Sprin cr drier rcing consn speed round circulr rck wih rdius of 85.0 m. A. Clcule her erge speed if she complees one qurer of lp in 8.0 s. B. Clcule her erge elociy for he sme 8.0 s qurer urn. C. Clcule her erge elociy for complee reoluion.
7. Consider Crl driing long srigh srech of rodwy consn elociy of 35 m/s. A he ec sme ime she psses police cr i begins o uniformly ccelere fer her, from res, 4.5 m/s 2. A. How much ime psses before he police cr cches up o Crl? B. How fr hs Crl drien before he police cr psses her? C. How fr hs he police cr drien before pssing Crl? D. Grph Crl s nd he police officer s displcemen s. ime on he sme grph. Wh does he inersecion poin represen? E. Grph Crl s nd he police officer s elociy s. ime on he sme grph. Wh does he inersecion poin represen? How is he re under Crl s elociy s. ime grph reled o he re under he officer s elociy s. ime grph?