Student Worksheets

Unit 1 - Kinematics (One-Dimensional)

1

(Ans. 7.83 m/s²)

2

(Ans. 6 m/s²)(Ans. 0 m/s²)

(Ans. -2 m/s²)(Ans. -4 m/s²)

(Ans. 29.2 m/s)

(Ans. 617 m/s)

(Ans. 99,500 m/s)

(Ans. 6 s)

(Ans. 21.5 s)

2

(Ans. 870 m)

(Ans. 93 m/s)

(Ans. 11s)

(Ans. 1620 m)

(Ans. 4.85 m/s)

(Ans. 10 s)

(Ans. 3 s)

(Ans. 19.5 m)

(Ans. 22.3 m)

(Ans. .00001 s)

3

(Ans. 44.4 m)

(Ans. 50.4 m)

(Ans. 3.5 m)

(Ans. 1.25 s)

(Ans. -298 m)

(Ans. -233 m)

(Ans. 9.6 m)

(Ans. 86.4 m)

(Ans. 7.2 s)

4

(Ans. 1.05 m)

(Ans. 206.3 m)

(Ans. 356.4 m)

(Ans. 68.6 m/s)

(Ans. 92.9 m)

(Ans. 371.6 m)

(Ans. 623 m)

(Ans. 3.8 x 10⁸ m/s²)

(Ans. 1.36 m)

(Ans. 253.1 m/s²)

5

(Ans. 1.53 x 10¹¹ m)

(Ans. 216.7 s or 3.6 min)

(Ans. 368 s)

(Ans. 400 m)(Ans. 0 m)(Ans. 200 m)

6

(Ans. 10.4 m)(Ans. 666 m)

(Ans. 1687.5 m)

(Ans. 27.6 m)

(Ans. 71.6 m/s)

(Ans. 44.8 s)

(Ans. 20s)

(Ans. 1200 m)

(Ans. 92.5 m)

(Ans. 2.5 m/s)

(Ans. -24 m/s)

(Ans. -29.4 m/s)

(Ans. 2.3 s) Very Difficult ***Try solving problem 70 first.

(Ans. 32.9 m/s)

FreeFallPracticeWorksheet1. Ans.____________________2. Ans.____________________3. Ans.____________________4. Ans.____________________5. Ans.____________________

7

(Ans. After 1 s)

(Ans. 44.1 m)

(Ans. 4.9 m)

(Ans. 2.9 s)

(Ans. 15.3 m/s)

SHOW ALL PVAT INFORMATION

6. Ans.____________________7. Ans.____________________8. Ans.____________________9. Ans.____________________10. Ans.____________________

8

(Ans. Hmmmm….I wonder…..)

(Ans. 2.04 s)

(Ans. 44.1 m)

(Ans. 78.4 m)

(Ans. 45.9 m)

Name_______________________________________________________Date______________Pd._______

Physics:Unit1GEnd-of-UnitTestReview1.Anairplaneacceleratesuniformlyfromrestdownarunwayat6.7m/s2andliftsoffthegroundwhenitreachesavelocityof120m/s.Whatdistancedidittraveldowntherunway?(Ans.1074.6m)2.Aracecarstartsfromrestandacceleratesuniformlyfor17seconds.Ifitcoversatotaldistanceof570m,whatisitsacceleration?(Ans.3.94m/s2)3.Aballisletgofromthetopofa60mtallbuilding.Howlongdoesittaketohittheground?Whatvelocitywillitbetravelingwhenithits?(Ans.3.5s,34.3m/s)4.Acaracceleratesuniformlyfromaspeedof10m/stoaspeedof7.5m/sin8seconds.Findthedistancethecartravelsinthisperiodoftime.(Ans.70m)5.Aneggisthrownfromthetopofa213mcliffintotheoceanbelow.Whenithitsthewateritistravelingataspeedof72m/s.Whatwasitsinitialvelocity?(Ans.31.8m/s)6.Determinethedisplacementofajetthatisuniformlyacceleratedfrom23m/sto81m/sin15s.(Ans.780m)7.Asmallfishisdropped-byapelicanthatisrisingstraightupwardwithasteadyvelocityof+1.5m/s.After3s,whatisthevelocityofthefish?(Ans.-27.9m/s)8.Aparachutistdescendingwithaspeedof7.0m/slosesashoeatanaltitudeof25m.Howlongdoesittakefortheshoetohittheground?Whatspeedistheshoetravelingwhenithitstheground?(Ans.1.65s,23.2m/s)9.Aracecarcanbeslowedwithaconstantaccelerationof-12m/s2.Ifthecarisgoing37m/s,howmanymeterswillittaketostop?(Ans.57m)10.Acarmovesat16m/sandcoastsupahillwithauniformaccelerationof-2.1m/s2.Howfarhasitgoneafter9.0s?(Ans.59m)11.Astonefallsfreelyfromrestfor4.6s.Whatisthestone'sdisplacementduringthistime?(Ans.-103.7m)12.Youthrowaballstraightintotheairanditlandsbackinyourhand2.9secondslater.Howhighintheairdiditgo?(Ans.10.3m)13.Youthrowaballstraightintotheairwithaninitialvelocityof4.2m/s.Howmanysecondswillittaketocomebacktoyourhand?(Ans..86s)14.Aballisthrownstraightintotheairwithaninitialvelocityof30m/s.Howfarintotheairwillithaverisenafter2seconds?(Ans.40.4m)

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SUPPLEMENTAL PROBLEMS

MixedKinematicsProblems1.Anairplaneacceleratesdownarunwayat3.20m/s2for32.8suntilisfinallyliftsofftheground.Determinethedistancetraveledbeforetakeoff.�(Ans.1720m)2.Acarstartsfromrestandacceleratesuniformlyoveratimeof5.21secondsforadistanceof110m.Determinetheaccelerationofthecar.(Ans.8.10m/s2)3.UptonChuckisridingtheGiantDropatGreatAmerica.IfUptonfreefallsfor2.60seconds,whatwillbehisfinalvelocityandhowfarwillhefall?�(Ans.vf=-25.5m/s;x=-33.1m)��4.Aracecaracceleratesuniformlyfrom18.5m/sto46.1m/sin2.47seconds.Determinetheaccelerationofthecarandthedistancetraveled.���(Ans.a=11.2m/s2;x=79.8m)5.Afeatherisdroppedonthemoonfromaheightof1.40meters.Theaccelerationofgravityonthemoonis1.67m/s2.Determinethetimeforthefeathertofalltothesurfaceofthemoon.(Ans.t=1.29s)6.Rocket-poweredsledsareusedtotestthehumanresponsetoacceleration.Ifarocket-poweredsledisacceleratedtoaspeedof444m/sin1.83seconds,thenwhatistheaccelerationandwhatisthedistancethatthesledtravels?(Ans.a=243m/s2;x=406m)7.Abikeacceleratesuniformlyfromresttoaspeedof7.10m/soveradistanceof35.4m.Determinetheaccelerationofthebike.�(Ans.a=.712m/s2)8.Anengineerisdesigningtherunwayforanairport.Oftheplanesthatwillusetheairport,thelowestaccelerationrateislikelytobe3m/s2.Thetakeoffspeedforthisplanewillbe65m/s.Assumingthisminimumacceleration,whatistheminimumallowedlengthfortherunway?(Ans.x=704m)���9.Acartravelingat22.4m/sskidstoastopin2.55s.Determinetheskiddingdistanceofthecar(assumeuniformacceleration).(Ans.x=28.6m)10.Akangarooiscapableofjumpingtoaheightof2.62m.Determinethetakeoffspeedofthekangaroo.(Ans.vi=7.17m/s)11.IfMichaelJordanhasaverticalleapof1.29m,thenwhatishistakeoffspeedandhishangtime(totaltimetomoveupwardstothepeakandthenreturntotheground)?(Ans.vi=5.03m/s;hangtime=1.03s)

11

12.Abulletleavesariflewithamuzzlevelocityof521m/s.Whileacceleratingthroughthebarreloftherifle,thebulletmovesadistanceof0.840m.Determinetheaccelerationofthebullet(assumeauniformacceleration).(Ans.a=1.62x105m/s2)13.Abaseballispoppedstraightupintotheairandhasahang-timeof6.25s.Determinetheheighttowhichtheballrisesbeforeitreachesitspeak.(Hint:thetimetorisetothepeakisone-halfthetotalhang-time.)(Ans.y=48m)���14.Theobservationdeckoftallskyscraper370mabovethestreet.Determinethetimerequiredforapennytofreefallfromthedecktothestreetbelow.(Ans.t=8.69s)15.Abulletismovingataspeedof367m/swhenitembedsintoalumpofmoistclay.Thebulletpenetratesforadistanceof0.0621m.Determinetheaccelerationofthebulletwhilemovingintotheclay.(Assumeauniformacceleration.)(Ans.a=-1.08x106m/s2)16.Astoneisdroppedintoadeepwellandisheardtohitthewater3.41safterbeingdropped.Determinethedepthofthewell.(Ans.x=-57m)17.ItwasoncerecordedthataJaguarleftskidmarksthatwere290minlength.AssumingthattheJaguarskiddedtoastopwithaconstantaccelerationof-3.90m/s2,determinethespeedoftheJaguarbeforeitbegantoskid.(Ans.vi=47.6m/s)18.Aplanehasatakeoffspeedof88.3m/sandrequires1365mtoreachthatspeed.Determinetheaccelerationoftheplaneandthetimerequiredtoreachthisspeed.(Ans.a=2.86m/s2;t=30.8s)19.Adragsteracceleratestoaspeedof112m/soveradistanceof398m.Determinetheacceleration(assumeuniform)ofthedragster.(Ans.a=15.8m/s2)���20.Withwhatspeedinmiles/hr(1m/s=2.23mi/hr)mustanobjectbethrowntoreachaheightof91.5m(equivalenttoonefootballfield)?Assumenegligibleairresistance.(Ans.vi=42.3m/s=94.4mi/hr)

12

Physics 1D Motion Worksheet #8 Ans: 1. a. -14.8 m/s b. 11.4 s c. -42.1 m/s 2. a. -8 m/s b. 1.6 s c. 3.3 m d. -1.8 m/s e. 3.1 m 3. a. -22.1 m/s b. -1.3 m drop or 23.7 m above ground 4. -69.2 m/s

Name:__________________________ Free Fall Period:_____

1. A robot probe drops a camera off the rim of a 239 m high cliff on Mars, where the free-fall acceleration is -3.7 m/s2.

a. How fast is it going after 4 seconds?

b. How long will it take to hit the ground.

c. Find the velocity with which it hits the ground. 2. A tennis ball is thrown vertically upward with an initial velocity of +8 m/s.

a. What will the ball’s speed be when it returns to its starting point?

b. How long will the ball take to reach its starting point?

c. How high will the ball get?

d. How fast will the ball be going after 1 second?

e. How high will the ball be after 1 second?

t = 4 s

239 m

13

Physics 1D Motion Worksheet #8 Ans: 1. a. -14.8 m/s b. 11.4 s c. -42.1 m/s 2. a. -8 m/s b. 1.6 s c. 3.3 m d. -1.8 m/s e. 3.1 m 3. a. -22.1 m/s b. -1.3 m drop or 23.7 m above ground 4. -69.2 m/s

3. A flowerpot falls from a windowsill 25 m above the sidewalk a. How fast is the flowerpot moving when it strikes the ground?

b. How high above the ground is the flowerpot when it is traveling at 5 m/s? 4. The Sears Tower in Chicago is 443 m tall. Suppose a book is dropped from the top of the building. What would be

the book’s velocity at a point 200 m above the ground?

25 m

443 m 200 m

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HopperActivity-KinematicsEquations

StudentsinGroup:__________________________________________________Pd.#______

ThepurposeofthisactivityistoapplytheKinematicsEquationswehavebeenlearningtoanactualphysicalsituation.YouwillbeusingadevicecalledaHopper-asmallrubberobjectthathopsupoffthetablewhenitispresseddown.AftercollectingdatausingyourHopper,yourgroupwillusethedatatogetherwiththeKinematicsEquationstocalculatePVATinformation.PART1-DATACOLLECTIONUsingameterstickortapemeasure,youmustmeasurehowhightheHopperjumpsoffthetable.ThiswillbecalledtheHopper'sMaximumHeight.Measurethisasaccuratelyaspossibleforfiveseparatejumpsandrecordyourdatabelow.Thentaketheaverageofthedata.

HopperMaximumHeightTrial# HeightofHopperin

meters1

2

3

4

5

AverageHeight

Next,measuretheHopper'sflighttime.DothisbystartingthetimerwhentheHopperreachesitsmaximumheightandmeasurehowmuchtimeittakesfortheHoppertofallbacktothetable.Makefivemeasurementsandaveragethemtogether.

HopperFlightTimeTrial# FlightTime

inseconds1

2

3

4

5

AverageTime

15

PART2-CALCULATIONSUsingthedatayoucollectedanswerthefollowingquestions:1.BasedonthevalueyoumeasuredfortheHopper'saveragemaximumheight,findtheHopper'sinitialvelocity.(Note:Donotusethevalueyoumeasuredforflighttimeinthiscalculation.)P:V:vi=vf=A:T:Equation:_________________________ InitialVelocity:_________m/s2.Anobjectthatreturnstothesamelocationfromwhichitwaslaunchedwillhavethesamespeed,butistravelingintheoppositedirection.Thismeansthenumberpartofthevelocityisthesame,butthesignisdifferent.UsingthisideaandthemeasurementyouobtainedfortheHopper'sflighttime,firstfindtheHopper'sfinalvelocity,thenuseittodeterminetheHopper'sinitialvelocity.P:V:vi=vf=A:T:Equation:___________________FinalVelocity:_________________ InitialVelocity:_________m/s

3.Writedownyouranswersforproblem1and2below.Howdoyourtwoanswerscompare?

vifromproblem(1):_________vifromproblem(2):_________

4.UsethePVATinformationfromproblem1andtheansweryougotforinitialvelocitytocalculatethetimeitshouldtakefortheHoppertoreachmaximumheight.Howdoesthisnumbercomparewiththeflighttimeyouactuallymeasured?

P:V:vi=vf=A:T:Equation:_________________________ FlightTime:_________s

5.UsethePVATinformationfromproblem2andtheansweryougotforinitialvelocitytocalculatethemaximumheighttheHoppershouldreach.Howdoesthisnumbercomparewiththemaximumheightyouactuallymeasured?

P:V:vi=vf=A:T:Equation:_________________________ MaximumHeight:_________m

16

StompRocketActivity-KinematicsEquations

StudentsinGroup:__________________________________________________Pd.#______

ThepurposeofthisactivityistousetheKinematicsEquationswehavelearnedinordertodeterminethelaunchvelocityandthemaximumheightreachedbyastomprocket.PART1-DATACOLLECTIONEachmemberofyourgroupwilltakeaturnlaunchingtherocket.Theonlymeasurementthatwillbeneededinthisactivityisthetotalflighttimeoftherocket.Begintotimetherocketwhenthelaunchingpadis'stomped'on,andfinishtimingwhentherockethitstheground.Below,recordtheTotalFlightTimeforeachmemberinyourgroup.Youwillcomebacklater,afterdoingyourcalculations,torecordtheInitialLaunchVelocityandMaximumHeightforeachmemberinyourgroup.

StompRocketFlightTimeTrial# GroupMemberName TotalFlightTime

insecondsInitialLaunch

VelocityMaximumHeight

1

2

3

4

AverageValues AllMembers

Below,drawadiagramoftherocket'sflight.Labelthegroundlevelxi=_____,theapex(highestpoint)xmax=_____,theinitialvelocityvi=_____,thevelocityattheapexvapex=_____,andthefinalvelocityvf=_____.Comebackandfillthesevaluesinlaterafteryoudoyourcalculations.(UsethevaluesyoucalculatefromtheAverageFlightTime.)

GroundLevel17

PART2-CALCULATIONSUsingthedatayoucollectedanswerthefollowingquestions:1.Whatisthevelocityoftherocketattheinstantitreachesitsapex?_________________________2.Whatistheaccelerationoftherocketduringitsflight?__________________________3.Determinetheinitiallaunchvelocityoftherocketyoulaunched.(Eachmemberofyourgroupwilldothisproblemfortheirownlaunch.)ShowyourPVATandtheformulayouusealongwithyourworkbelow.P:V:vi=vf=A:T:Equation:_________________________ InitialVelocity:_________m/s4.Usingthevalueyouobtainedforvi,nowsolvetofindthemaximumheightyourrocketreached.ShowyourPVATandtheformulayouusealongwithyourworkbelow.P:V:vi=vf=A:T:Equation:___________________ xmax:_________m

5.Nowuseyourgroup'saverageflighttimetocalculateanaverageinitialvelocityandanaveragemaximumheightforyourgroup.Showyourworkbelow.

AverageInitialVelocity:______________m/s Averagexmax:___________m

Besuretogobacktopage1andrecordalltheanswersforeverymemberinyourgroupinthetable.

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