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Kinematics DPP 14 (Extra) NSEP Batch 2024

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1
NSEP Batch 2024
Physics
Kinematics
1.
Statement-1: The instantaneous velocity is always
3.
DPP-14
Statement-1: Two stones are simultaneously projected
tangential to path and
from level ground from same point with same speeds
Statement-2: The slope of position-time graphs
but different angles with horizontal. Both stones move
represent the velocity.
in same vertical plane. Then the two stones may collide
(A) Statement–1 is True, Statement–2 is True;
in mid air and
Statement–2 is a correct explanation for
Statement-2: For two stones projected simultaneously
Statement–1.
from same point with same speed at different angles
with horizontal, their trajectories must intersect at some
(B) Statement–1 is True, Statement–2 is True;
Statement–2 is not a correct explanation for
point except projection point.
Statement–1.
(A) Statement-1 is true, statement-2 is true and
statement-2
(C) Statement–1 is True, Statement–2 is False.
is
correct
explanation
for
statement-1.
(D) Statement–1 is False, Statement–2 is True.
(B) Statement-1 is true, statement-2 is true and
statement-2 is NOT the correct explanation for
2.
Statement–1: For motion in parabolic path,
but
dv
dt
dv
dt
0
statement-1.
(C) Statement-1 is true, statement-2 is false
(D) Statement-1 is false, statement-2 is true.
may be zero and
Statement–2: Acceleration in a body may be due
4.
Statement -1: Two projectiles having same range must
to change in direction of velocity only.
have the same time of flight.
(A) Statement–1 is True, Statement–2 is True;
Statement-2: Horizontal component of velocity is
Statement–2 is a correct explanation for
constant in projectile motion under gravity.
Statement–1.
(A) Statement-1 is true, statement-2 is true and
(B) Statement–1 is True, Statement–2 is True;
statement-2
Statement–2 is not a correct explanation for
statement-1.
Statement–1.
(C) Statement–1 is True, Statement–2 is False.
(D) Statement–1 is False, Statement–2 is True.
is
correct
explanation
for
(B) Statement-1 is true, statement-2 is true and
statement-2 is NOT the correct explanation for
statement-1.
(C) Statement-1 is true, statement-2 is false.
(D) Statement-1 is false, statement-2 is true.
2
5.
Statement-1: When a particle is observed from two
8.
Statement-1: Three projectiles are moving in different
different inertial reference frames the general shape of
paths in the air. Vertical component of relative velocity
the trajectory of particle is same.
between any of the pair does not change with time as
Statement-2: The position vector of a particle and its
long as they are in air. Neglect the effect of air friction.
velocity are relative quantities.
Statement-2: Relative acceleration between any of
(A) Statement-1 is True, Statement-2 is True,
the pair of projectiles is zero.
Statement-2 is a correct explanation for
(A) Statement-1 is true, statement-2 is true and
statement-1
statement-2
(B) Statement-1 is True, Statement-2 is True,
is
correct
explanation
for
statement-1.
Statement-2 is NOT a correct explanation for
(B) Statement-1 is true, statement-2 is true and
Statement-1
statement-2 is NOT the correct explanation for
(C) Statement-1 is True, Statement-2 is False
statement-1.
(D) Statement-1 is False, Statement-2 is True
(C) Statement-1 is true, statement-2 is false.
(D) Statement-1 is false, statement-2 is true
6.
Statement-1: The trajectory of a projectile w.r.t.
another projectile is a straight line and
9.
Statement-1: The magnitude of velocity of two boats
Statement 2: The relative velocity of a projectile
relative to river is same. Both boats start
w.r.t. another projectile is constant.
simultaneously from same point on one bank. They
(A) Statement-1 is true, statement-2 is true and
may reach opposite bank simultaneously moving along
statement-2
is
correct
explanation
for
different straight line paths.
statement-1.
Statement-2: For above boats to cross the river in same
(B) Statement-1 is true, statement-2 is true and
time, the component of their velocity relative to river in
statement-2 is NOT the correct explanation for
direction normal to flow should be same.
statement-1.
(A) Statement-1 is true, statement-2 is true and
(C) Statement-1 is true, statement-2 is false.
statement-2
(D) Statement-1 is false, statement-2 is true.
statement-1.
is
correct
explanation
for
(B) Statement-1 is true, statement-2 is true and
7.
Statement-1: If separation between two particles does
statement-2 is NOT the correct explanation for
not change then their relative velocity will be zero.
statement-1.
Statement-2: Relative velocity is the rate of change
(C) Statement-1 is true, statement-2 is false.
of position of one particle with respect to another.
(D) Statement-1 is false, statement-2 is true
(A) Statement-1 is true, statement-2 is true and
statement-2
is
correct
explanation
for
statement-1
(B) Statement-1 is true, statement-2 is true and
10.
A boy holding a flag when is standstill, the flag flutters
in 53° north of west and when he starts running
westwards with velocity 6 m/s, the flag flutters in the
statement-2 is NOT the correct explanation for
north. Wind velocity is closest to
statement-1.
(A) 8 m/s, 53° north of west
(C) Statement-1 is true, statement-2 is false
(B) 8 m/s, 53° east of south
(D) Statement-1 is false, statement-2 is true.
(C) 10 m/s, 53° north of west
(D) 10 m/s, 53° east of south
3
11.
12.
Two boats were going down stream with different
velocities. When one overtook the other a plastic
ball was dropped from one of the boats. Some time
later both boats turned back simultaneously & went
at the same speeds as before (relative to the water)
towards the spot where the ball had been dropped.
Which boat will reach the ball first?
(A) the boat which has greater velocity (relative to
water)
(B) the boat which has lesser velocity (relative to
water)
(C) both will reach the ball simultaneously
(D) cannot be decided unless we know the actual
values of the velocities and the time after
which they turned around.
14.
Two transparent elevator cars A and B are moving
in front of each other. Car A is moving up and
retarding at a1, while car B is moving down and
retarding at a2. Person in car A drops a coin inside
the car. What is the acceleration observed by person
in car B.
(A) g + a2 downward
(B) g – a1 – a2 downward
(C) g – a1 + a2 downward
(D) None of these
15.
An airplane flies along a straight path from town A
to town B, 500 km away. Town B is due east of
town A and a strong wind blows from north to south
at 300 km/hr. If the plane's airspeed is 900 km/hr,
which of the following statements is true?
Two trains, which are moving along different tracks
in opposite directions towards each other, are put
on the same track by mistake. Their drivers, on
noticing the mistake, start slowing down the trains
when the trains are 300 m apart. Graphs given
below show their velocities as function of time as
the trains slow down. The separation between the
trains after both have stopped, is:
(A) Trip time is
5
hr.
3 8
(B) Plane's speed with respect to ground is
600 km/hr.
(C) Plane's heading is 30° North of East.
(D) None of the above
16.
Two particles A and B moving in x-y plane are at
origin at t = 0 sec. The initial velocity vectors of A
and B are u A = 8iˆ m/s and u B = 8ˆj m/s. The
acceleration of A and B are constant and are
a A = −2iˆ m/s2 and a B = −2ˆj m/s2. Column-I gives
(A) 120 m
(C) 60 m
(B) 280 m
(D) 20 m
certain statements regarding particle A and B.
Column-II gives corresponding results. Match the
statements in column-I with corresponding results
in column-II.
Column-I
Column-II
(A)
13.
A ball thrown down the incline strikes at a point on
the incline 25m below the horizontal as shown in
the figure. If the ball rises to a maximum height of
20m above the point of projection, the angle of
projection a (with horizontal x axis) is
The time (in seconds)
(P) 16 2
at which velocity of A
relative to B is zero
(B)
The distance (in metres)
(Q) 8 2
between A and B when
their relative velocity
is zero
(C)
The magnitude of relative
(R) 8
velocity of A and B at the
(A) tan–1
4
(C) tan–1
3
3
2
(B) tan–1
(D) tan–1
3
instant they are at same
4
position.
2
3
(S) 4
4
17.
A ball is fired from point P, with an initial speed of
50 m/s at angle of 53°, with the horizontal. At the
same time, a long wall AB at 200 m from point P,
starts moving towards P with a constant speed of
10 m/s.
(a) Find the time when the ball collides with wall
AB.
(b) Find the coordinate of point C, where the ball
collides. Taking point P as origin?
5
Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
(B)
(A)
(C)
(D)
(D)
(A)
(D)
(A)
(A)
10.
11.
12.
13.
14.
15.
16.
17.
(C)
(C)
(D)
(A)
(A)
(A)
(A)-S (B)-P (C)-Q
(a) t = 5 sec.,
(b) P(150, 75)
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