03

DESCRIPTION
OF
MOTION
IN
TWO AND
THREE
DIMENSIONS
Page
1
( Answers
at
the
end
of
all
questions )
1 )
A
particle
is
moving
eastwards
with
a
velocity
of
5
ms

1
.
In
10
seconds
the
velocity
changes
to
5
ms

1
northwards.
The average
acceleration
in
this
time
is
( a )
1
/
2
ms

2
towards
north
( b )
1
/ √ 2
ms

2
towards
north

east
( c )
1
/ √ 2
ms

2
towards
north

west
( d )
zero
[ AIEEE
2005 ]
2 )
An
annular
ring
with
inner
and
outer
radii
R
1
and
R
2
is
rolling
without
slipping
with
a
uniform
angular
speed.
The
ratio
of
the
forces
experienced
by
the
two
particles
situated
on
the
inner
and
outer
parts
of
the
ring,
F
1
/
F
2
is
( a )
2
2
R
1
R
⎥
⎦
⎤
⎢
⎣
⎡
( b )
1
R
2
R
( c )
2
R
1
R
( d )
1
[ AIEEE
2005 ]
3 )
A
projectile
can
have
the
same
range
‘R’
for
two
angles
of
projection.
If
‘t
1
’
and
‘t
2
’
be
the
times
of
flights
in
the
two
cases,
then
the
product
of
the
two
times
of
flights
is
proportional
to
( a )
1
/
R
2
( b )
R
2
( c )
R
( d )
1
/
R
[ AIEEE
2005,
2004 ]
4 )
A
block
is
kept
on
a
frictionless
surface
with
angle
of
inclination
‘
α
’.
The
incline
is
given
an
acceleration
‘a’
to
keep
the
block
stationary.
Then
a
is
equal
to
( a )
g cosec
α
( b )
g
/
tan
α
( c )
g tan
α
( g )
g
[ AIEEE
2005 ]
5 )
Which
of
the
following
statements
is
false
for a
particle
moving
in
a
circle
with
a
constant
angular
speed ?
( a )
The
velocity
vector
is
tangent
to
the
circle.
( b )
The
acceleration
vector
is
tangent
to
the
circle.
( c )
The
acceleration
vector
points
to
the
centre
of
the
circle.
( d )
The
velocity
and
acceleration
vectors
are
perpendicular
to
each
other.
[ AIEEE
2004 ]
6 )
If
,
then
the
angle
between
A
and
B
is
→
→
→
→
×
=
×
A
B
B
A
7 )
A
ball
is
thrown
from
a
point
with
a
speed
v
0
at
an
angle
of
projection
θ
.
From
the
same
point
and
at
the
same
instant,
a
person
starts
running
at
a
constant
speed
v
0
/
2
to
catch
the
ball.
Will
the
person
be
able
to
catch the
ball ?
If
yes,
what
should
be
the
angle
of
projection ?
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 Spring '06
 Jones
 Velocity, Particle, CBSE

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