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HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY
HONG KONG ADVANCED LEVEL EXAMINATION 2010
APPLIED MATHEMATICS A-LEVEL PAPER1
8.30 am 11.30 am (3 hours)
This paper must be answered in English
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HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY
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AL Applied Mathematics 1997 Paper 1
vertical ,It is given that the center of mass of the lamina is at a distance a/3 from the
edge OB and 5a/3 from the edge OA(6 marks)
Section A(40marks)
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AL Applied Mathematics 1996 Paper 1
Section A(40marks)
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up ,show that r2=2(3g)(6marks)
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Two force centers P and Q are at a distance 2a apart and O is the nod-point of PQ.
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HONG KONG EXAMINATIONS AUTHORITY
Section A (40 marks)
HONG KONG ADVANCED LEVEL EXAMINATION 1999 Answer ALL questions in this section
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APPLIED MATHEMATICS A-LEVEL PAPER1
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Three small spheres A,B and C lie in a straight line on a smooth horizontal table.
AL Applied mathematics 1998 Paper 1
Section A (40 marks)
Sphere A is of mass km(k>2),and spheres B and C are each of mass m. Spheres A and
B ,moving in opposite directions
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of car B is ai. It is assumed that the car can pass each other without collision and
that they are small compared with the radius of the track.
(a) Determine the velo
1. Let (a, b, 0), (0, b, c) and (a, 0, c) be the cartesian coordinates of them vertices A,
B and C respectively of a triangle. Forces of magnitude and direction equal to
4.
BC , AC and 3BA act along the sides of the triangle.
(a) Find the resultant of the
AL Applied Mathematics
1995 Paper 1
Section A(40 marks)
Answer ALL question in this section
Write your answer in the AL(C1)answer book
1.A thin, smooth, uniform rod AB of mass m and length 2a is placed on a smooth
horizontal table. A small ring of mass m
1. Two parallel vertical smooth walls stand on a horizontal ground with a separation
d. A particle is projected from a point A, at distance h above the ground, with a
speed u normal to the walls. (See Figure 1.) The coefficient of restitution between
the
1. A particle is projected from a point O on horizontal ground with speed v at an
angle of elevation T .
(i)
Show that, in a suitably-chosen Cartesian coordinate system Oxy with
origin at O, the equation of the trajectory of the particle is
(ii)
(a) (i)
(
Figure 3
1.
A particle A of mass 2m moving at a velocity u on a smooth horizontal plane
strikes another particle B of mass m. The particle B, initially at rest before the
impact, then hits a vertical wall at a distance d away perpendicularly. (See Figure
1.
east to west direction, starts climbing up from O at a constant angle D to the
(a) A particle is projected with speed v at an elevation T .
(i) Determine the horizontal range in terms of v and T .
(ii) Show that, in a suitably chosen Cartesian coordina
1.
3.
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Figure 2
A particle is projected with speed v from a point O up a smooth inclined plane and
in a vertical plane containing a line of greatest slope of the inclined plane. The
angle of inclination of the plane to the horizontal is D , and th
1. A particle is projected from a point O on an inclined plane in a direction which
with the plane. (See Figure 1.) The path of the particle lies
makes an angle of
4
(a) Show that V
mu cos D
.
M m
(b) If M = m, express u in terms of s, D and g.
in a verti
1. (a) A particle is projected with speed u from a point up an inclined plane of
inclination D to the horizontal in a direction which makes an angle T with
the plane. The path of the particle is in a vertical plane containing a line of
greatest slope of t