ANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / MULUND/ NERUL / POWAI
IIT – JEE 2014
TW TEST
TIME: 1 HR
MARKS: 65
TOPICS: KINEMATICS - II
DATE: 26/08/12
SECTION-I (Single Choice Questions) This section contains 10 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out which ONLY ONE is correct. (+3, - 1) 1.
A particle is moving along x-axis whose instantaneous speed is particle is (a)
2.
9x m s 2
(b)
18xm s 2
(c)
(c) 27m
(d) None of these
2 kt where k 2 m s . The
(d) 36m
The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t particle when its velocity is zero. (a) zero (b) 12m
4.
2
m s2
108 9x2 . The acceleration of
The velocity-time relation of an electron starting from rest is given by distance traversed in first 3 s is (a) 9m (b) 16m
3.
9x
2
x
3 , where x in m and t is in s. find the displacement of the (c) 6m
(d) 18m 2
The x and y coordinates of a particle at any time t are given by x 7t 4t and y 5t , where x and y are in m and t in s. The acceleration of the particle at 5s is 2 (b) 8 m s
(a) zero 5.
(c) 20m s
2
(d) 40m s
2
2 A point moves in a straight time so that its displacement x m at time t s is given by x
1 t 2 . Its
2 acceleration in m s at time t s is
(a)
6.
1 x
(b)
3
1
x
3
(c)
t2
1 x
x
3
(d)
1 x
1
x2
Which of the following velocity-time graphs shows a realistic situations for a body in motion?
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7.
The variation of velocity of a particle along a straight line is shown in fig. The distance travelled by the particle in 12s is
(a) 37.5m 35.0m (d) None of these 8.
2
The velocity-time graph of a body is given in fig. The maximum acceleration in ms is
(a) 4 9.
(b) 3
(c) 2
(d) 1
The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is
(a) 1 10.
(b) 32.5m
(b) 1 2
(c) 1 3
(d) 3
Plot acceleration-time graph of the velocity-time graph given in fig.
(c)
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SECTION-II (Multiple Choice Questions) This section contains 7 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out which ONE OR MORE is/are correct. (+3, 0) 11.
The body will speed up if (a) velocity and acceleration are in same direction (b) velocity and acceleration are in opposite direction directi on (c) velocity and acceleration are in perpendicular direction (d) velocity and acceleration are acting acti ng at acute angle w.r.t. each other
12.
The velocity – time time plot for a particle moving on a straight line is shown in the fig.
(a) The particle has a constant acceleration (b) The particle has never turned around (c) The particle has zero displacement (d) The average speed in the interval 0 to 10s is the same as the average speed in the interval 10s to 20s 13.
A particle is moving in xy plane with y x 2 and y x
4 2 t . The correct options are
(a) Initial velocities of x and y directions are negative (b) Initial velocities of x and y directions are positive (c) Motion is first retarded, then accelerated (d) Motion is first accelerated, the retarded 14.
A heavy particle is projected with a velocity at an angle with the horizontal; into a uniform gravitational field. The slope of the trajectory of the particle varies not according to which of the following curves?
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15.
For a particle moving along X-axis, a scaled x-t graphs is shown in fig. Mark the correct statement(s).
(a) Speed of the particle is greatest at C. (b) Speed of the particle is greatest at B. (c) Particle is speeding up in region marked CD (d) Average velocity is greatest for region AB among marked regions. 16.
A particle is moving along X-axis whose position is given by x 4 9 statement(s) in relation to its motion (a) Direction of motion is not changing at any of the instants (b) Direction of the motion is changing at t 3s (c) For 0 t 3 s , the particle is slowing down (d) For 0 t 3 s, the particle is speeding up.
17.
An object may have (a) varying speed without having varying velocity (b) varying velocity without having varying speed (c) non-zero acceleration without having varying velocity (d) non-zero acceleration without having varying speed
SECTION-III SECTION-II I
(Paragraph Type)
t3 3
. Mark the correct
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18.
The time taken to cross the river is (a)
19.
3 2
(b)
h
1 6
h
(c)
1 3 3
h
(d) None
The drift of the man along the direction of flow, when he arrive at the opposite bank is (a)
1 6 3
km
(b) 6 3
SECTION-IV
(c) 3 3
(d)
1 3 3
(Integer Answer Type)
This section contains 2 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9. The correct digit below the question number in the ORS is be bubbled. (+4, 0) 20.
In fig the time taken by the projectile to reach from A to B is t. Then the distance distance AB is equal equal to
xut
Where x is
21.
0
The range of projectile which is launched at an angle of 15 with the horizontal is 1.5 km. what is 0
the range of the projectile if is projected at an angle 45 to the horizontal?
3
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ANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / MULUND/ NERUL / POWAI
TOPICS: KINEMATICS – II (ANSWER KEY)
1. a
2. A
3. A
4. B
5. C
6. b
7. a
8. a
9. c
10. a
11. A, d
12. A, d
13. b, c
14. B, c, d
15. b, c, d
16. B, c
17. B, d
18. c
19. a
20. 1
21. 3
