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深圳AP&A-level微积分数学物理化学专业辅导吴静彬
1Worksheet(AS)
DataneededtoanswerquestionscanbefoundintheData,formulaeandrelationshipssheet.
1Fivespeedsarelisted.
6ms
−1
6cms
−1
6kms
−1
6mh
−1
Startingwiththesmallest,whatistheorderofincreasingmagnitudeofthesespeeds?
A
B
C
D
2
6ms
−1
→6cms
−1
→6kms
−1
→6mh
−1
6cms
−1
→6ms
−1
→6kms
−1
→6mh
−1
6mh
−1
→6cms
−1
→6kms
−1
→6ms
−1
6mh
−1
→6cms
−1
→6ms
−1
→6kms
−1
[1]
[1]
Whichofthefollowingcorrectlylistsonescalarandonevectorquantity?
A
B
C
D
Scalarquantity
displacement
speed
speed
velocity
Vectorquantity
velocity
displacement
distance
displacement
3Thediagramshowsastripofpapertapepulledatconstantspeedunderaticker-timer.
Theticker-timermakes50dotspersecond.
40cm
[1]
Whatwasthespeedoftheobject?
A4cms
−1
B10cms
−1
C200cms
−1
D400cms
−1
4Aracingcarisfittedwithacomputerthatrecordsthedistancetravelledeverysecond.
Whichsetofreadingsshowsthatthecarisdecreasinginspeed?
A
Distance / m
0
25
50
B
Distance / m
0
50
100
C
Distance / m
0
40
60
[1]
D
Distance / m
0
25
60
Time / s
0
1
2
Time / s
0
1
2
Time / s
0
1
2
Time / s
0
1
2
ASandALevelPhysicsOriginalmaterial©CambridgeUniversityPress20101
深圳AP&A-level微积分数学物理化学专业辅导吴静彬
5Threevelocityvectors,u,vandXareshowninthediagram.[1]
Whichstatementaboutthevectorsiscorrect?
A
B
C
D
6
vaddedtouproducesaresultantX
uaddedtoXproducesaresultantv
themagnitudeofvequalsthesumofthemagnitudeofuandthemagnitudeofX
themagnitudeofuequalsthesumofthemagnitudeofXandthemagnitudeofv.
[1]
[1]
[3]
[1]
[2]
Explainwhatismeantby:
aascalarquantity
bavectorquantity.
7
8
9
Nameanythreescalarquantities.
aDefinethevelocityofanobject.
bUseyouranswertoatoexplainwhyvelocityisavectorquantity.
ctatorsareatasafedistanceof600m
atehowlongitwouldtakeforthesoundfromthecannonstoreach
thespectators.(Speedofsoundinair=340ms
−1
.)[2]
[2]
atetheaverage
speedoftheinsectinms
−1
.
11Thedisplacement–timegraphforanobjectisshownbelow.
aWhatdoesthegradientofadisplacement–timegraphrepresent?
bDescribethejourneyoftheobject.
cCalculatethevelocityoftheobjectat2.0s.
n
coversafurtherdistanceof6.2kminatimeof40minutes.
Calculatetheaveragespeedofthecyclistinms
−1
:
aforthefirst15minutesofthejourney
bforthetotaljourney.
[1]
[2]
[2]
[2]
[2]
ASandALevelPhysicsOriginalmaterial©CambridgeUniversityPress20102
深圳AP&A-level微积分数学物理化学专业辅导吴静彬
13Thediagramshowsthedisplacement–timegraphfor
anobject.
Calculatethevelocityoftheobjectattimes:
a4.0s
b8.0s.
14Thediagrambelowshowsastonemovinginahorizontalcircleofradius70cm.
[2]
[2]
Thestonetakesatimeof0.62sforeachrevolution.
aCalculatethespeedofthestone.(Hint:Inatimeof0.62s,thestonetravelsadistance
equaltothecircumferenceofthecircle.)
themagnitudeofthedisplacementofthestone
fromAafteratimeof:
i0.31s
ii0.62s?
[2]
[1]
[1]
15Thetablebelowshowsthetimetaken(t)andthedisplacement(s)ofatrolleyrollingdownaramp.
Time / s
Displacement / 10
−2
m
0
0
0.1
0.8
0.2
3.0
0.3
6.8
0.4
12.0
0.5
18.9
0.6
27.0
[2]
[2]
[2]
aPlotagraphofdisplacementagainsttime.(Makesurethatyousketchasmoothcurve.)
nyouranswer.
cBydrawingtangentstothecurveattimes0.2sand0.5s,determinethevelocitiesofthe
trolleyatthesetimes.
dTheaccelerationaofthetrolleyisgivenby:
a
change in velocity
time taken
Usetheequationaboveandyouranswerstoctodeterminetheaccelerationaofthetrolley.[2]
Total:Score:%
42
ASandALevelPhysicsOriginalmaterial©CambridgeUniversityPress20103
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