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Unformatted text preview: TEST 1 (PHYS 141013)
29 Oeteber EDGE, Number ef Prebleme 6, Duretien 1.5 h Name: Student Number: thlem 1 {3 marks} An nhjeet stems Frem peint. A at time L1 = D. Al. time 111 = E e, 1.5 = 3 5,
t3 = 4 e '11: peeeee thrﬂugh the 1.1011115 13? C, and D reepeetively. Determine [a] the tern] dlepleeement {Hem A be D], (b) average veleeity {I'mm A In £1}, and {e} average speed {I'mm A be E} ef the ebjeet. 533 I
I III“.
IIIHI
IIIII I
I
I
I
I
I Solution. Peeltien vech are ree=rmn=—ﬁi—1 riiel=r{4}=ﬁi+ij Displaeelnem is . .
ﬁr = TUE} ‘ I‘{E_,.1J = m' Amer 43 velueity is _ _
3g ﬁr _ 111 —_] v“? = .ﬂi 4 — ﬂ = ﬁﬂli—j} mfe Average speed W131 Etruj
“neg = ‘Flt afﬁ+ # 3.? wife I J:  1:: eel—r ennu
=1
+ Problem 2. {3 marks} The positienei' an ehjeet mating in an rep plane is given by : [ti = [311!) — t?) i
2.Ut_i._ with r in meters and t in setsintls. In unit—vester netatien, calculate {a} pesitien r [It], {1:} instantaneeus
veleeitp v {t}. {e} instantaneeus aeselet‘atien a [th fer t = 5.1:} 3. Calculate {ti} displacement ﬁr, {e} average
Velatit} vary. and {f} average aeeeieratien aim,Sir fer the ﬁrst ﬁve seeends ei' mntien t = 5.0 s. Calculate [g]
diatanee after ﬁve semnds ei' :tnntitinl (it) magnitude ef t'eieeity. {i} speed. and {1} angle between the positive
t‘liIEL'titin at the 1: axis and a line tangent tn the particles path at t = 5.0 s Seiutien. Instantaneeus Witheitj‘ is
are} T swat: 41’]. titanti. V {t} at _ at 1 + a't J
{—Eﬂti — 2m] mfs. Instantaneaus aeeeleratien is _ ave] _ dﬁ2.ﬂt]__ti(2.ﬂ]l.
am“ a‘ a: L at]
= —2.m mfsz.
At time t = 5 s we ehtain
{it}
r{5} = [ﬁﬂi — lilﬂj] m.
{h}
v [5} = {—iﬂﬂi  Elij} mfs.
is}
ata} = elﬂi me?
Hi
rm} = 3110i m,
rfﬁ} = {tiﬂi — lﬂﬂj} m1
ﬁn : HIE} erﬁﬂ} = {—Eﬁﬂi  lﬂﬂj} m.
{3} ii. —25 {i' it] D'
vetg = I: = ‘51_—ﬂ I J I [5ﬂi— mfs.
if}
_ ﬂitr {t} _ VIIEr} — viii] _ 1El.ﬂi — Eﬂj +2.3]
3”“ ‘ at _ a—tl _ a
= —2 Eli net's:
is}
iris tantt = Iﬁirl = #253 ' ll]'2 2 W a 26.9 111
[hi
tartan = the? + s2 = M a me mfs
{i}
1.! [5] = ]1.:' as 10.2 mf's
{H
t. as i —_m t _ E = ens—l {—0.93} E awashDEE} 2 163.5”. Prat[em 3. [1 mark} Figure shows the pasitiamwrsua—time graph of a particle. rumlug alﬂng the
xamlﬁ Draw the particle‘s velucity w; it} and acceleratiun HIM graphs. Pruhlem :1. {2 nmrlcs'j Figure chews the velccity graph 1J1 {t} cf a particle mewleg elcng the :c—exis.
The particle alerts from :r: [{l} .: #1 m. at E = ﬂ. Draw {a} peejticn :t: {6] and {b} acceleration {1:13} greplm fer the particle. Prehlem .5. [1 mark} A jet plane is erujeing el; Sﬂﬂ wife when suddenly the pilet turns the up to full threttie. After trawling 1.EI km, the jet is Ineeiug with a speed at" :me mfe. {a} What is the Jet e
eeeeleretien. stemming it me be e. eeuetent acceleratien‘;’ [th How Iﬂng dues it take te eeeelerete the Jet? Selutiun, Equetiene ef metien are 1:: {e = e: {e} +ert. Then we put 11' {ﬂ} = ﬂ, 1: {I} : 40% m, U311.” = 3m mfs, Hi. [i] = 4m mfe and ehtein from the 335$!“ '01.
equatitme dﬂﬂ = Sﬂﬂ + 41:15, :2
met: = seet+ at} .
a First e uetien e'vee
{ } e e1 m
t = .
'51:: After eubstitutien in the eeeend one we obtain lﬂﬂ '12 eeue = ene— + r," ,
e; 
er ,
dzeTe
:1: e2
er
4 = E
ﬂu:
frem here
eI = ﬁ m 3.3 mfeﬂ
4
lib]
t— 1m— —mﬂ —E:=I]ee
_ e: 35ft! _ T Pruhlem E [1 mark} A stem is threw: vertically ruewere: with an initial speed 13f MU} = EDWIer fmm
:he reef er a building, I: = 25 m ubeve the greund Take 9 2 1e wage? '.. Hew high does it gnu with respect In the gmmld Ivaml? 2. What is the speed ef the erene at impact [en the ground Inaell? Selutien. Equetiene ef mmiun are 1'1: '3} em = y{ﬂ:+ep{ﬂ}t+ U1.. + Eret1 yet3 —2 .
II: eur case Ellie system of equatiene redueﬁ m the fellewing eyetem eye} = SU—lﬂt.
em = 25+3ﬂt—5E. {EL} ‘Ir‘r'e put e'y [t’] = [I and: mlu'e the ﬁrst equatim1
ﬂ=30wlﬂf 7% t“ =3e.
After euhetituhien et' thie result 1:1 tn the eeeeud equet'ten we ehtein
yu’J E H=Ee+3ﬂwj 4(3): :71: m.
{11] We put 3: III”) 2 I] and melee the second equatien u = 25 + em” — 5:”. GI
t"*ﬁt“—e=e = t”=3=~.r’ﬁ Peeielve eelutien ghﬁ t" = 3 '1' Ell—4 m 5.? 3. Then 1.1!, 3"] = 30 — llltl'it'“I “a: 3E] —1ﬂ[ﬁ.T} m —37 mfs. ...
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 Fall '10
 terekidi
 Physics, Jet aircraft, Number ef Prebleme, magnitude ef t'eieeity

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