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# Test Paper Kinematics (Physics) JEE Notes | EduRev

## JEE : Test Paper Kinematics (Physics) JEE Notes | EduRev

``` Page 1

KINEMATICS- SET-1
1. From a town, cars start at regular intervals of 30 s
and run towards another town with constant speed
of 60 km/h. At some point of time, all of the cars
simultaneously have to reduce their speed to 40
km/h due to bad weather conditions. What will
become the time interval between arrivals of the
cars at the second town during the bad weather?
(a) 20 s  (b) 30 s
(c) 40 s  (d) 45 s
2. Sam used to walk to school every morning, and it
takes him 20 minutes. Once on his way he realized
that he had forgotten his homework, notebook at
home. He knew that if he continued walking to
school at the same speed, he would be there 8
minutes before the bell, so he went back home for
the notebook and arrived the school 10 minutes
late. If he had walked all the way his usual speed,
what fraction of the way to school had he covered
at that moment when he turned back?
(a) 8/20   (b) 9/20
(c) 10/20  (d) 12/20
3. A car moving at 160 km/h when passes the mark-A,
driver applies brake and reduces its speed
uniformly to 40 km/h at mark-C. The marks are
spaced at equal distances along the road as shown
below.

Mark -A Mark -B Mark -C

At which part of the track the car has instantaneous
speed of 100 km/h? Neglect the size of the car.
(a) At mark-B
(b) Between mark-A and mark-B
(c) between mark-B and mark-C
(d) insufficient information to decide
4. Two particles A and B starts from the same point
and move in the positive x-direction. Their
velocity-time relationships are shown in the
following figures. What is the maximum separation
between them during the time interval shown?

Particle A
1.00 m/s
2.00 m/s
1.00 s 2.00 s

Particle B
1.00 m/s
2.00 m/s
1.00 s 2.00 s

(a) 1.00 m  (b) 1.25 m
(c) 1.50 m  (d) 2.00 m
5. A material particle is chasing the other one and
both of them are moving on the same straight line.
Their motion after they pass a particular point is
recorded and the data obtained is shown by
velocity-time graphs of the particles. How long
after the start will the chase end?
Velocity (m/s)
Time (s)
3 4

(a) 4.0 s  (b) 6.0 s
(c) 12 s  (d) insufficient information
6. Two cars A and B simultaneously start a race.
Velocity of the car A varies with time according to
the graph shown. It acquires a speed of 50 m/s few
seconds before t = 100 s and then moves with this
constant speed. Car B runs together with A to a
place where both have velocity of 20 m/s, after this
place car B moves with zero acceleration for one
second and then follows velocity-time relationship
identical to that of A with a delay of one second. In
this way car B acquires the constant velocity one
second after A acquires it. How much more
distance ?s car A covers in the first 100 s?
50
0
0 100
ts ()
v m s ( / )

(a) ?s = 30 m  (b) ?s < 30 m
(c) ?s = 20 m  (d) insufficient information
7. Two motorboats, which can move with velocities
4.0 m/s and 6.0 m/s relative to water are going up-
stream. When the faster one overtakes the slower
one, a buoy is dropped from the slower one. After
lapse of some time both the boats turn back
Page 2

KINEMATICS- SET-1
1. From a town, cars start at regular intervals of 30 s
and run towards another town with constant speed
of 60 km/h. At some point of time, all of the cars
simultaneously have to reduce their speed to 40
km/h due to bad weather conditions. What will
become the time interval between arrivals of the
cars at the second town during the bad weather?
(a) 20 s  (b) 30 s
(c) 40 s  (d) 45 s
2. Sam used to walk to school every morning, and it
takes him 20 minutes. Once on his way he realized
that he had forgotten his homework, notebook at
home. He knew that if he continued walking to
school at the same speed, he would be there 8
minutes before the bell, so he went back home for
the notebook and arrived the school 10 minutes
late. If he had walked all the way his usual speed,
what fraction of the way to school had he covered
at that moment when he turned back?
(a) 8/20   (b) 9/20
(c) 10/20  (d) 12/20
3. A car moving at 160 km/h when passes the mark-A,
driver applies brake and reduces its speed
uniformly to 40 km/h at mark-C. The marks are
spaced at equal distances along the road as shown
below.

Mark -A Mark -B Mark -C

At which part of the track the car has instantaneous
speed of 100 km/h? Neglect the size of the car.
(a) At mark-B
(b) Between mark-A and mark-B
(c) between mark-B and mark-C
(d) insufficient information to decide
4. Two particles A and B starts from the same point
and move in the positive x-direction. Their
velocity-time relationships are shown in the
following figures. What is the maximum separation
between them during the time interval shown?

Particle A
1.00 m/s
2.00 m/s
1.00 s 2.00 s

Particle B
1.00 m/s
2.00 m/s
1.00 s 2.00 s

(a) 1.00 m  (b) 1.25 m
(c) 1.50 m  (d) 2.00 m
5. A material particle is chasing the other one and
both of them are moving on the same straight line.
Their motion after they pass a particular point is
recorded and the data obtained is shown by
velocity-time graphs of the particles. How long
after the start will the chase end?
Velocity (m/s)
Time (s)
3 4

(a) 4.0 s  (b) 6.0 s
(c) 12 s  (d) insufficient information
6. Two cars A and B simultaneously start a race.
Velocity of the car A varies with time according to
the graph shown. It acquires a speed of 50 m/s few
seconds before t = 100 s and then moves with this
constant speed. Car B runs together with A to a
place where both have velocity of 20 m/s, after this
place car B moves with zero acceleration for one
second and then follows velocity-time relationship
identical to that of A with a delay of one second. In
this way car B acquires the constant velocity one
second after A acquires it. How much more
distance ?s car A covers in the first 100 s?
50
0
0 100
ts ()
v m s ( / )

(a) ?s = 30 m  (b) ?s < 30 m
(c) ?s = 20 m  (d) insufficient information
7. Two motorboats, which can move with velocities
4.0 m/s and 6.0 m/s relative to water are going up-
stream. When the faster one overtakes the slower
one, a buoy is dropped from the slower one. After
lapse of some time both the boats turn back
KINEMATICS- SET-1
simultaneously and move at the same speeds
relative to the water as before. Their engines are
switched off when they reach the buoy again. If the
maximum separation between the boats is 200 m
after the buoy is dropped and water flow velocity is
1.5 m/s, find the distance between the two places
where the boats meet the buoy.
(a) 75 m  (b) 150 m
(c) 300 m  (d) 350 m
8. Two students start running on a circular track from
the same place at the same time and in two minutes
one of them completes three and other four
revolutions. Due to thick vegetation in circular area,
each of the boys can see only one third of the track
at a time. How long during their run they will
remain visible to each other?

(a) 20 s   (b) 40 s
(c) 80 s   (d) 160 s
9. Three ants A, B and C initially rest on the vertices
of an equilateral triangle on a large horizonal
tabletop. The ants A and B can crawl with constant
velocities
A
v
?
and
B
v
?
in any direction. Which of
the following inequalities the speed of the third ant
C must satisfy to preserve equilateral shape of the
triangle?
(a) v
C
< 0.5 (v
A
+ v
B
) (b) v
C
= 0.5 (v
A
+ v
B
)
(c) v
C
<  v
A
+ v
B
(d) v
C
= v
A
+ v
B

10. A body experiences a drag force proportional to its
speed, when it moves in constant water. A student
drops several identical stones one by one from
different heights into a deep lake and for each
stone, he prepares graphs between v in water and
time t. Having studied all of them, he finds that
they can be divided into the following three
categories.

v
v
0
t

v
v
0
t

v
v
0
t

Which of the following explanations appear
reasonable?
(a) the first graph shows what happens when the
ball is dropped from a small height, and the second
shows what happens when it is dropped from a
large height.
(b) The first graph shows what happens when the
ball is dropped from a large height, and the second
shows what happens when it is dropped from a
small height.
(c) The third graph tells the possibility only when
the stone is dropped from such a height that it
acquires the speed v
0
at the instant it enters the
water.
(d) The third graph is not possible.
11. On a road going out of a city, the last traffic light
glows green for 1.0 min and red for 2.0 min. After
the traffic light, the road is straight and vehicles run
at their constant speeds. This mode of operation of
traffic lights causes the vehicles come out off the
city in groups i.e., when traffic light is green a
group of vehicles comes out and then next group
during the next green signal and so on. Speeds of
vehicles in a group lie in the range from 60 to 80
km/h. Some distance away from the traffic light,
the groups will become indistinguishable. Assume
that the vehicles acquires their constant speed in
negligible time and mark the correct statement or
statements.
(a) at distance 4.0 km from the traffic light, the
groups become indistinguishable.
(b) at distance 8.0 km from the traffic light, the
group become indistinguishable.
(c) wider is the range of speed; longer is the
distance where groups become indistinguishable.
(d) larger is the number of fast moving vehicles,
shorter is the distance where groups become
indistinguishable.
Page 3

KINEMATICS- SET-1
1. From a town, cars start at regular intervals of 30 s
and run towards another town with constant speed
of 60 km/h. At some point of time, all of the cars
simultaneously have to reduce their speed to 40
km/h due to bad weather conditions. What will
become the time interval between arrivals of the
cars at the second town during the bad weather?
(a) 20 s  (b) 30 s
(c) 40 s  (d) 45 s
2. Sam used to walk to school every morning, and it
takes him 20 minutes. Once on his way he realized
that he had forgotten his homework, notebook at
home. He knew that if he continued walking to
school at the same speed, he would be there 8
minutes before the bell, so he went back home for
the notebook and arrived the school 10 minutes
late. If he had walked all the way his usual speed,
what fraction of the way to school had he covered
at that moment when he turned back?
(a) 8/20   (b) 9/20
(c) 10/20  (d) 12/20
3. A car moving at 160 km/h when passes the mark-A,
driver applies brake and reduces its speed
uniformly to 40 km/h at mark-C. The marks are
spaced at equal distances along the road as shown
below.

Mark -A Mark -B Mark -C

At which part of the track the car has instantaneous
speed of 100 km/h? Neglect the size of the car.
(a) At mark-B
(b) Between mark-A and mark-B
(c) between mark-B and mark-C
(d) insufficient information to decide
4. Two particles A and B starts from the same point
and move in the positive x-direction. Their
velocity-time relationships are shown in the
following figures. What is the maximum separation
between them during the time interval shown?

Particle A
1.00 m/s
2.00 m/s
1.00 s 2.00 s

Particle B
1.00 m/s
2.00 m/s
1.00 s 2.00 s

(a) 1.00 m  (b) 1.25 m
(c) 1.50 m  (d) 2.00 m
5. A material particle is chasing the other one and
both of them are moving on the same straight line.
Their motion after they pass a particular point is
recorded and the data obtained is shown by
velocity-time graphs of the particles. How long
after the start will the chase end?
Velocity (m/s)
Time (s)
3 4

(a) 4.0 s  (b) 6.0 s
(c) 12 s  (d) insufficient information
6. Two cars A and B simultaneously start a race.
Velocity of the car A varies with time according to
the graph shown. It acquires a speed of 50 m/s few
seconds before t = 100 s and then moves with this
constant speed. Car B runs together with A to a
place where both have velocity of 20 m/s, after this
place car B moves with zero acceleration for one
second and then follows velocity-time relationship
identical to that of A with a delay of one second. In
this way car B acquires the constant velocity one
second after A acquires it. How much more
distance ?s car A covers in the first 100 s?
50
0
0 100
ts ()
v m s ( / )

(a) ?s = 30 m  (b) ?s < 30 m
(c) ?s = 20 m  (d) insufficient information
7. Two motorboats, which can move with velocities
4.0 m/s and 6.0 m/s relative to water are going up-
stream. When the faster one overtakes the slower
one, a buoy is dropped from the slower one. After
lapse of some time both the boats turn back
KINEMATICS- SET-1
simultaneously and move at the same speeds
relative to the water as before. Their engines are
switched off when they reach the buoy again. If the
maximum separation between the boats is 200 m
after the buoy is dropped and water flow velocity is
1.5 m/s, find the distance between the two places
where the boats meet the buoy.
(a) 75 m  (b) 150 m
(c) 300 m  (d) 350 m
8. Two students start running on a circular track from
the same place at the same time and in two minutes
one of them completes three and other four
revolutions. Due to thick vegetation in circular area,
each of the boys can see only one third of the track
at a time. How long during their run they will
remain visible to each other?

(a) 20 s   (b) 40 s
(c) 80 s   (d) 160 s
9. Three ants A, B and C initially rest on the vertices
of an equilateral triangle on a large horizonal
tabletop. The ants A and B can crawl with constant
velocities
A
v
?
and
B
v
?
in any direction. Which of
the following inequalities the speed of the third ant
C must satisfy to preserve equilateral shape of the
triangle?
(a) v
C
< 0.5 (v
A
+ v
B
) (b) v
C
= 0.5 (v
A
+ v
B
)
(c) v
C
<  v
A
+ v
B
(d) v
C
= v
A
+ v
B

10. A body experiences a drag force proportional to its
speed, when it moves in constant water. A student
drops several identical stones one by one from
different heights into a deep lake and for each
stone, he prepares graphs between v in water and
time t. Having studied all of them, he finds that
they can be divided into the following three
categories.

v
v
0
t

v
v
0
t

v
v
0
t

Which of the following explanations appear
reasonable?
(a) the first graph shows what happens when the
ball is dropped from a small height, and the second
shows what happens when it is dropped from a
large height.
(b) The first graph shows what happens when the
ball is dropped from a large height, and the second
shows what happens when it is dropped from a
small height.
(c) The third graph tells the possibility only when
the stone is dropped from such a height that it
acquires the speed v
0
at the instant it enters the
water.
(d) The third graph is not possible.
11. On a road going out of a city, the last traffic light
glows green for 1.0 min and red for 2.0 min. After
the traffic light, the road is straight and vehicles run
at their constant speeds. This mode of operation of
traffic lights causes the vehicles come out off the
city in groups i.e., when traffic light is green a
group of vehicles comes out and then next group
during the next green signal and so on. Speeds of
vehicles in a group lie in the range from 60 to 80
km/h. Some distance away from the traffic light,
the groups will become indistinguishable. Assume
that the vehicles acquires their constant speed in
negligible time and mark the correct statement or
statements.
(a) at distance 4.0 km from the traffic light, the
groups become indistinguishable.
(b) at distance 8.0 km from the traffic light, the
group become indistinguishable.
(c) wider is the range of speed; longer is the
distance where groups become indistinguishable.
(d) larger is the number of fast moving vehicles,
shorter is the distance where groups become
indistinguishable.
KINEMATICS- SET-1
12. A boy takes 60 minutes to swim across a river, if
his goal is to minimize time and he takes 180
minutes, if his goal is to minimize to zero the
distance that he is being carried downstream. In
both these efforts, the boy swims with the same
speed relative to river currents. Which of the
following statements can be true?
(a) the boy can swim in still water faster than the
river current.
(b) the boy cannot swim in still water faster than
the river current.
(c) if river width is 3v2 km, speed of the river flow
is 4 km/h.
(d) if he crosses 3v2 km wide river in 60v2 min, he
will be carried v2 km downstream.
13. A wax bar B rests between a wedge A and a
vertical wall as shown in the figure. The wedge
starts moving towards the wall with a constant
acceleration of 0.5 mm/s
2
, and at the same instant
heat given to the wall starts melting 1.0 mm length
of the wax bar per second. The bar always remains
horizontal. Use satisfactorily approximate value sin
37° = 3/5.
Heat
37°
A
B

Which of the following descriptions suits the above
physical situation?
(a) the bar first moves downwards and then
upwards
(b) the bar stops momentarily after 2 seconds from
the beginning.
(c) modulus of displacement of the bar in the first
four seconds is 1.5 mm
(d) distance travelled by the bar in the first four
seconds is 1.5 mm
14. A model rocket fired from the ground ascends with
constant upward acceleration. After 1.0 s from
firing a small bolt is dropped from the rocket and
after 5.0 s from firing, its fuel is then finished. The
bolt strikes the ground after 2.0 s from the instant it
was dropped. Acceleration due to gravity is g = 10
m/s
2
.
(a) acceleration of the rocket while running on its
fuel is 8.0 m/s
2
.
(b) rocket was at height 100 m above the ground
when its fuel was finished.
(c) maximum speed of the rocket during its flight is
40 m/s
(d) total airtime of the rocket is 15 s
15. Area between velocity-time graph and the time axis
equals to displacement. Use this fact to find
expression for average velocity and suggest suitable
match between the two rows.
Row-I

v
2
v
1
T
(a)

v
2
v
1
T/2
(b)
T

v
2
v
1
34 T/
(c)
T
v
2
v
1
T/4
(d)
T

Row-II
(p)
12 av
v v v ?? (q)
12
3
4
av
vv
v
?
?
(r)
12
3
4
av
vv
v
?
? (s)
12
2
av
vv
v
?
?
16. Component of a vector along and perpendicular to
the position vector are known as the radial
component and transverse components respectively.
A particle is projected horizontally from the top of
a tower. Assume acceleration due to gravity g
uniform and take the origin of the coordinate
system at the point of projection.
Column-I
(q) transverse component of velocity
(s) transverse component of acceleration
Column-II
(a) always increases (b) always decreases
(c) first increases then decreases
(d) first decreases then increases
For Problems (17-20)
A stone is dropped from the top of a tower. Before it hits
the ground another stone is dropped. Assuming the
Page 4

KINEMATICS- SET-1
1. From a town, cars start at regular intervals of 30 s
and run towards another town with constant speed
of 60 km/h. At some point of time, all of the cars
simultaneously have to reduce their speed to 40
km/h due to bad weather conditions. What will
become the time interval between arrivals of the
cars at the second town during the bad weather?
(a) 20 s  (b) 30 s
(c) 40 s  (d) 45 s
2. Sam used to walk to school every morning, and it
takes him 20 minutes. Once on his way he realized
that he had forgotten his homework, notebook at
home. He knew that if he continued walking to
school at the same speed, he would be there 8
minutes before the bell, so he went back home for
the notebook and arrived the school 10 minutes
late. If he had walked all the way his usual speed,
what fraction of the way to school had he covered
at that moment when he turned back?
(a) 8/20   (b) 9/20
(c) 10/20  (d) 12/20
3. A car moving at 160 km/h when passes the mark-A,
driver applies brake and reduces its speed
uniformly to 40 km/h at mark-C. The marks are
spaced at equal distances along the road as shown
below.

Mark -A Mark -B Mark -C

At which part of the track the car has instantaneous
speed of 100 km/h? Neglect the size of the car.
(a) At mark-B
(b) Between mark-A and mark-B
(c) between mark-B and mark-C
(d) insufficient information to decide
4. Two particles A and B starts from the same point
and move in the positive x-direction. Their
velocity-time relationships are shown in the
following figures. What is the maximum separation
between them during the time interval shown?

Particle A
1.00 m/s
2.00 m/s
1.00 s 2.00 s

Particle B
1.00 m/s
2.00 m/s
1.00 s 2.00 s

(a) 1.00 m  (b) 1.25 m
(c) 1.50 m  (d) 2.00 m
5. A material particle is chasing the other one and
both of them are moving on the same straight line.
Their motion after they pass a particular point is
recorded and the data obtained is shown by
velocity-time graphs of the particles. How long
after the start will the chase end?
Velocity (m/s)
Time (s)
3 4

(a) 4.0 s  (b) 6.0 s
(c) 12 s  (d) insufficient information
6. Two cars A and B simultaneously start a race.
Velocity of the car A varies with time according to
the graph shown. It acquires a speed of 50 m/s few
seconds before t = 100 s and then moves with this
constant speed. Car B runs together with A to a
place where both have velocity of 20 m/s, after this
place car B moves with zero acceleration for one
second and then follows velocity-time relationship
identical to that of A with a delay of one second. In
this way car B acquires the constant velocity one
second after A acquires it. How much more
distance ?s car A covers in the first 100 s?
50
0
0 100
ts ()
v m s ( / )

(a) ?s = 30 m  (b) ?s < 30 m
(c) ?s = 20 m  (d) insufficient information
7. Two motorboats, which can move with velocities
4.0 m/s and 6.0 m/s relative to water are going up-
stream. When the faster one overtakes the slower
one, a buoy is dropped from the slower one. After
lapse of some time both the boats turn back
KINEMATICS- SET-1
simultaneously and move at the same speeds
relative to the water as before. Their engines are
switched off when they reach the buoy again. If the
maximum separation between the boats is 200 m
after the buoy is dropped and water flow velocity is
1.5 m/s, find the distance between the two places
where the boats meet the buoy.
(a) 75 m  (b) 150 m
(c) 300 m  (d) 350 m
8. Two students start running on a circular track from
the same place at the same time and in two minutes
one of them completes three and other four
revolutions. Due to thick vegetation in circular area,
each of the boys can see only one third of the track
at a time. How long during their run they will
remain visible to each other?

(a) 20 s   (b) 40 s
(c) 80 s   (d) 160 s
9. Three ants A, B and C initially rest on the vertices
of an equilateral triangle on a large horizonal
tabletop. The ants A and B can crawl with constant
velocities
A
v
?
and
B
v
?
in any direction. Which of
the following inequalities the speed of the third ant
C must satisfy to preserve equilateral shape of the
triangle?
(a) v
C
< 0.5 (v
A
+ v
B
) (b) v
C
= 0.5 (v
A
+ v
B
)
(c) v
C
<  v
A
+ v
B
(d) v
C
= v
A
+ v
B

10. A body experiences a drag force proportional to its
speed, when it moves in constant water. A student
drops several identical stones one by one from
different heights into a deep lake and for each
stone, he prepares graphs between v in water and
time t. Having studied all of them, he finds that
they can be divided into the following three
categories.

v
v
0
t

v
v
0
t

v
v
0
t

Which of the following explanations appear
reasonable?
(a) the first graph shows what happens when the
ball is dropped from a small height, and the second
shows what happens when it is dropped from a
large height.
(b) The first graph shows what happens when the
ball is dropped from a large height, and the second
shows what happens when it is dropped from a
small height.
(c) The third graph tells the possibility only when
the stone is dropped from such a height that it
acquires the speed v
0
at the instant it enters the
water.
(d) The third graph is not possible.
11. On a road going out of a city, the last traffic light
glows green for 1.0 min and red for 2.0 min. After
the traffic light, the road is straight and vehicles run
at their constant speeds. This mode of operation of
traffic lights causes the vehicles come out off the
city in groups i.e., when traffic light is green a
group of vehicles comes out and then next group
during the next green signal and so on. Speeds of
vehicles in a group lie in the range from 60 to 80
km/h. Some distance away from the traffic light,
the groups will become indistinguishable. Assume
that the vehicles acquires their constant speed in
negligible time and mark the correct statement or
statements.
(a) at distance 4.0 km from the traffic light, the
groups become indistinguishable.
(b) at distance 8.0 km from the traffic light, the
group become indistinguishable.
(c) wider is the range of speed; longer is the
distance where groups become indistinguishable.
(d) larger is the number of fast moving vehicles,
shorter is the distance where groups become
indistinguishable.
KINEMATICS- SET-1
12. A boy takes 60 minutes to swim across a river, if
his goal is to minimize time and he takes 180
minutes, if his goal is to minimize to zero the
distance that he is being carried downstream. In
both these efforts, the boy swims with the same
speed relative to river currents. Which of the
following statements can be true?
(a) the boy can swim in still water faster than the
river current.
(b) the boy cannot swim in still water faster than
the river current.
(c) if river width is 3v2 km, speed of the river flow
is 4 km/h.
(d) if he crosses 3v2 km wide river in 60v2 min, he
will be carried v2 km downstream.
13. A wax bar B rests between a wedge A and a
vertical wall as shown in the figure. The wedge
starts moving towards the wall with a constant
acceleration of 0.5 mm/s
2
, and at the same instant
heat given to the wall starts melting 1.0 mm length
of the wax bar per second. The bar always remains
horizontal. Use satisfactorily approximate value sin
37° = 3/5.
Heat
37°
A
B

Which of the following descriptions suits the above
physical situation?
(a) the bar first moves downwards and then
upwards
(b) the bar stops momentarily after 2 seconds from
the beginning.
(c) modulus of displacement of the bar in the first
four seconds is 1.5 mm
(d) distance travelled by the bar in the first four
seconds is 1.5 mm
14. A model rocket fired from the ground ascends with
constant upward acceleration. After 1.0 s from
firing a small bolt is dropped from the rocket and
after 5.0 s from firing, its fuel is then finished. The
bolt strikes the ground after 2.0 s from the instant it
was dropped. Acceleration due to gravity is g = 10
m/s
2
.
(a) acceleration of the rocket while running on its
fuel is 8.0 m/s
2
.
(b) rocket was at height 100 m above the ground
when its fuel was finished.
(c) maximum speed of the rocket during its flight is
40 m/s
(d) total airtime of the rocket is 15 s
15. Area between velocity-time graph and the time axis
equals to displacement. Use this fact to find
expression for average velocity and suggest suitable
match between the two rows.
Row-I

v
2
v
1
T
(a)

v
2
v
1
T/2
(b)
T

v
2
v
1
34 T/
(c)
T
v
2
v
1
T/4
(d)
T

Row-II
(p)
12 av
v v v ?? (q)
12
3
4
av
vv
v
?
?
(r)
12
3
4
av
vv
v
?
? (s)
12
2
av
vv
v
?
?
16. Component of a vector along and perpendicular to
the position vector are known as the radial
component and transverse components respectively.
A particle is projected horizontally from the top of
a tower. Assume acceleration due to gravity g
uniform and take the origin of the coordinate
system at the point of projection.
Column-I
(q) transverse component of velocity
(s) transverse component of acceleration
Column-II
(a) always increases (b) always decreases
(c) first increases then decreases
(d) first decreases then increases
For Problems (17-20)
A stone is dropped from the top of a tower. Before it hits
the ground another stone is dropped. Assuming the
KINEMATICS- SET-1
stones stick to the ground after hit, the separation
(s) between them is plotted against time (t). Portion
OA and BC of the graph are parabolic, while
portion AB is a straight line. Acceleration due to
gravity is 10 m/s
2
.
s(m)
10
O
1 2 3 4 t(s)
C
B
A
20
40

17. The second stone is dropped
(a) 1s after the first
(b) 1.5 s after the first
(c) 2 s after the first
(d) 3 s after the first
18. The height of the tower is
(a) 25 m (b) 30 m
(c) 40 m (d) 45 m
19. When the first stone hits the ground, the second
stone was moving with
(a) 10 m/s at 40 above the ground
(b) 10 m/s at 25 above the ground
(c) 20 m/s at 20 above the ground
(d) 20 m/s at 25 above the ground
20. Which of the following equations can be used to
represent the separation as function of time is
(a) s = 5t
2
; 0 = t = 1
(b) s = 10t; 1 = t = 3
(c) 45 –  5(t-1)
2
; 3 = t = 4
(d) all of the above

1.[d]  2.[b] 3.[c] 4.[b] 5.[b]
6.[a]  7.[c] 8.[b] 9.[d] 10.[b,c]
11.[b]  12.[a,c,d] 13.[a,b,d]
14.[a,b,c,d]
15. [p – a,d] [q – a,d]
[r – a,b] [s – a,c]
16. [p – a]  [q – a]
[r – a]  [s – b]
17.[a]  18.[d]  19.[d]  20.[d]

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