1971-05-21 — Page 19

頁二第張五第2 日七廿月四年辛膳夏 WAH KIU YAT PO

育僑華 育教 僑華

英中會考附加數學(二)試題

ADDITIONAL MATHEMATICS

PAPER O

Tiina klicniven, “A, Two Boun

08:10 30 -

wes së k-quertions, iti Section A and say THREE questola a Section 8. Mathematical «ndian,

Morena MLIST au sapun

報日僑華

五期星日一廿月五年一七九一曆公年十六國民華中 育教僑華

各行業發之間, 影作制,在此物體上層「菲麼坐兩,三餓校友會,前申骸,

以日前政府府新

生及公務員護士爭取合理權益 发對減低教師待遇 支持三師學

香港敎師會再度要求

當局參與薪制談判

前足就對,沒有理由 「香港敦育事業,但不能 項下,多撥經費以發展 府應在每年行政盈餘

ERINEK (8). )

開支,我作推行北館

一品業生護照舊制給

爭取合理文件。

學校發起,並廷 淑政府在實施之前,佩,顯有參加新酬及

一,而減低宴及贵之立,於意見如手,不行萩其起

設立「特別會麼,在第一座人帆求政府與有有之利促而反对

理

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展期本月二十五日截稿

大專學生徵文

4 臨生運動面面觀

B:深入社會正確認識社會

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世軍將命二百元,第一百五十元,季軍一百元,必仁餘餘玉儒;.斋各阳中

高中組學生徵文

A 對香港筋的建

費,另無附地址及酗生試 辦法 阿奇中四葉LOWER SIX班何添加主前教哐二千,在月始沉日止說,無神

B. 普及康樂活動鼓勵青少年參加

中小組學生徵文

A 利用奶外旅行-

實知

·B·寫日記的好處,

高級組

HP

初級組

。

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艘,那源,另州附地址及塞生鍋號碼。

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·自由畫比賽

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(IME)

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.幼稚園組

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亞軍四十元,本卅元,相各再選號共一百名」,港铁西区

照

the curve

Abat the penzi (1)

英中會考附加數學(三)試題

meign" 30 kp

When the firidong-**

and 4 specfivety Finde

how

• malong the postru

Prove the coil • Bicosta

Louchet the curve.

art b successive serria of an Anjumentai Progresado

tricas FroaressIDA

13 marks

(5 marks)

asing the substitution

find the value

DDITIONAL MATHEMATICS

OH (MECHANICS)

Time low Two hours

mark

uniform team. 21 of length. Van sad

supported.Ronzontally

20 g weigna a sacod, so the bran

the reactor chrother..

Che reaction

Answer All questions in Section A. and THREE Questions from Section 8. raking NOT MORE THAN IWE from each of the two Groups

ness otherwise stated rational numbe

eva aut be replaced by the approxuma Lom

SECTION A (40 märka).

A fise migine pump raises water to a height of 50m and then projects it

Calculate the energy requied in raising and projecting the of wales.

Fund die position of the centre of gravity of

ansform tamins shown in figl corners of this tumung die gent drivica....

感

SECTION D. 460 marks ALL questions carry, equal marks,

Answer THREE Questrom, from fan Section taking NOT MORE THAN TWO trom

All working must be sus Whenever becessary explanation must be given

Group

ABCD is a convex quadruatéral með 1080 CD

Groups

ULE-SINGS-AR, BC CD and DA respectively the senɔes being manducated by the order of the “enen. Fuid, graphically, the magnitude of the tesuliani-forverand angle which it takes With

Find and the manith of the resultant torce about

:nthesyater.pl.pulleys shown in ftpwdaleke. copese textensible, and the straight pornona are vencal Find the véloan ratio of the

When an effort is applied to raise a load, the frenue between each putty and the rope.

人

Neglecting the weights of the pulleys and. ropos, find the load that can be raised in emisof. F. and F

find the effunt required to raise a load of 100 kg wt if the friction at each pulley.

(ii)”. What is the efficiency of the system in this

味

LOAD

THREE question thus Section Each question carries 20.mark

ire connected by the relationstupy.

100 SOD 1900

急

5

(5 marks)

A particle of mass, 2 kg, is connected to a thun rotating shaft by a light and ngil tod af length; 002 metre perpendicular to it: (fig.2) The angula) melocity of the shaft increases from 30 radise to 60 sec Find the change in

helenergy of the parusle

show gives me values ač je for the coresponding values of a.

UNE » BUTADIO graph find the values of the constants und

2. significant Bours

Find

cost on terms of sunt Hence expressiah Ain terms sume the above result, or otherwise, to find all the four possible values of

answers in surds)

certain plus the right of tide above the low ways

450 1200 100 6 the time in minutes after high tide

Wha'n du:ame interval between high and low tide

hi whai rice a plus was filing, di feet per aunute. 75 minutes after high cei

Leive you alsver in terms

mage 10 fees, ware the low water mark A boat can just sail under the bridge when, the distance between the bingga ia che a level is 21 feet How long after high tide will be Actored.com aan taal under the bridge:

Fuid the gunumuy gradient of Que curve QNov

Trea: eadgative gradien) as being (am thane cerò, gradiens

(i) Find the are exciosen naween this curve an N-4-LOLA

aquations of the udes of the inanga ABC are a follow

Find the coordinates of A

From that the triangle is isosceles

fill) Caiculate the LABC, to the nearest degrea

GV) ABCD ba paralelogram, find the coordinates of D

Find the equation of the diagonal

。

BD

Find the area of the parallelogram ABC,

A particle dropped from the top of a building 60 m high" "At the same instant another particle projected celozity, ul. 30 m/sec vertically upwards itans a point on the ground exactly below the shran partie

When the particles collide with each other 3

How far above the ground will this occur

Group

block-8, at nissy Too kỵ, the surfaces of

contact are bronzema and sough the puchlerens al fadión, pe

经

by Burun tak rupe while her Girough

nonżynià) grudna, with, cúcíficiem di tredici?

A Torun, Pikgowo w applies ir 5 inclinéa ana

Cixed-angar, Tru dhe-horizontul as sliuwn,

· Find the normal reaction between Ế KHOLA

Please It Ov

a train consisting of locomotive and carnages linked by light "ngid tins tavelling unitsni nii îne "norizontal". The weights 59, thje tücomprive and saut

of the carriages are ur order". WW

All resistances may ce neglected.

Find the cracuve torce requijed ro maintain this uniform motion

Af the tractive force is uncreased to" kg wi

prove that the acceleration of the warte train u

find the tension in the . between the fourth and the fat carnages.

4th

A particle of mass suspended train point by tigh and inextensible sing of length It is drawn aside so that the string snakes we are wigleith the downward vertical, and then released trous cestWhen u passes die sowest 'pušition of its pain fides, with another particle of mass a lying sep on a smooth-rabic the wo parcies suck togethe) aftergallasjon and swing to theṛ hagnést pome when the string makes un angle with the vertical. The wise qioloruf the system has taken place in verucal plane

Find the verbety of the glass M. just before colisión

By applying the principle of conservation of linear momentum, show tha

• móws the spero-time graph of Curatorear --From the graph, ting":

Facesenatupad the di che anterval considered

19. due, intervan between, to bat zaświ

Two exotleya ang Jesenske

un the gine onoain hiontal straight rails, are connected by a long, light

mang simby, in irolley pulls the rupe with a constani korizontal force, any each cluding safold, are 1000ky and SO0 kg Tospectivel

caj "the Pelocity Vacant Quilty a thin s5140L

(i) Show fast the fossut ene

àn fig. *• Mặc vs heni jube ABC being 120. The particle can stile along 4B which a

US speter long When ne rube is rotating with a uniform angular velocity rad/secabourg vertent As conciding with the axis of comains of the end A Show that the centopeial acceleration experienced a Purus position is use

The equation of a circle with centre. A ta ̈2a

A chord of su

"with gradiena - passes through the origin: ✪ and cuts the circle a two-point Pride'

It marks)

0) Find a quadratic equation in

whose roots are the x-coordinates of P and

1

- fjonzottaligiguna (li is aze upon by, a

ON TR uthe midpoint of Pg, using () or otherwise, find the coordinates o

fly Show that the locus of A

sanes is the cncle on

as diameter -

cheb fastjet ega man jön rough

kurti umat karan sa JUNE, MA

4 Kepique vertical position by a light:

selang in jhr eusi yopiana file

gauratálly to usherwise the rejcnon vt the

你

and the tube is 4

is now connected to another particle of equal mass, each being 05 kg, by a light and inextensible string, which lies along the us of the tube diughout (g. 10), and the trictional borde between.

4 65

kg wt) Find the maximum angular velocity thai:

65.10w

given to the tube without projecting