ANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / MULUND/ NERUL / POWAI
TIME: 1 HR
TW TEST(Kinematics -2 )
MARKS: 65
SECTION-I (Single Choice Questions) T h is sectio n con co n tain s 10 multiple choice questions. E ach q u estio n h as 4 cho cho ices (A ),(B ),(C ) an d (+ 3, - 1) (D ) fo r its an sw er, o u t w h ich ONLY ONE is co co rrect. 1
o
1.
Ship A is travelling with a velocity of 5 kmh due east. A second seco nd ship is heading 30 east of north. What should be the speed of second ship if it is to remain re main always due north with respect to the t he first first ship? a. 10 kmh 1 b. 9 kmh 1 c. 8 kmh 1 d. 7 kmh 1
2.
A car is moving towards east with a speed of 25 kmh move move towards towards north north with with a speed speed of 25 3 kmh 1
o
a. 50 kmh , 30 E of N c. 25 kmh 1 , 30 o E of N
3.
. To the driver of the car, a bus appears to
. What What is the actual velocity of the bus? 1
o
b. 50 kmh , 30 N of E c. 25 k mh 1 , 30 o N of E 1
A man can swim in still water with a speed of 2 ms . If he wants to cross a river of water current speed speed
3 ms
1
along shortest possible path, then in which direct ion should he swim? o
a. At an angle 120 to the water current c. At an angle 90 o to the water current
4.
1
1
o
b. At an angle 150 to the water current d. none of these
A particle is moving in a circle of radius r centred at O with constant speed v. What is the change in velocity in moving from A to B AOB 40 o ? a. 2v sin 20 o
b. 4v sin 40 o
c. 2v sin 40 o
d. v sin 20 o
5.
During a projectile motion if the maximum height equals the horizontal range, then the angle of projection with the horizontal is a. tan 1 (1) b. tan 1 (2) c. tan 1 (3) d. tan 1 (4)
6.
The point from where a ball is projected is is taken as the origin of the coordinate axes. The x and y components of its displacement are given by x = 6t and y = 8t – 5t 2 . What is the velocity of projection? a. 6 ms 1 b. 8 ms 1 c. 10 ms 1 d. 14 ms 1
7.
A ball is thrown upwards at an angle of 60 o to the horizontal. It falls on the ground at a distance of o
90 m. If the ball is thrown t hrown with the same initial velocity vel ocity at an angle 30 , it will fall on the ground at a distance of a. 120 m
b. 90 m
c. 60 m
d. 30 m
8.
The maximum height reached by projectile is 4 m. The horizontal range is 12 m. The velocity of projection in ms 1 is (g is acceleration due to gravity ) 1 1 a. 5 g / 2 b. 3 g / 2 c. g/2 d. g/2 3 5
9.
When a particle is thrown horizontally, the resultant velocity of the projectile at any time t is given by 1 2 a. gt b. c. u 2 g 2 t 2 d. u 2 g 2 t 2 gt 2
10.
A projectile can have the same range R for two angles of projection. It t 1 and t 2 are the times of flight in the two cases, then what is the product of t wo times of flight? 1 a. t1t 2 R 2 b. t1t 2 R c. t1 t 2 R
d. t 1t 2
1 R 2
SECTION-II (Multiple Choice Questions) T his section contains 7 multiple choice questions. E ach question has 4 choices (A ), (B ), (C ) an d (+ 3, 0) (D ) for its answ er, out w hich ONE OR MO RE is/are correct.
11.
A particle moves in a straight line obeying the relation x = (t - 1) (t - 2). Then: a. b. c. d.
12.
the particle moves in negative x-direction initially the particle moves with constant acceleration the average velocity and speed of the particle may be equal to the instantaneous speed the average speed and average velocity of the particle must be equal
A river is flowing towards east with a velocity of 5 ms 1 . The boat velocity is 10 ms crosses the river by shortest path, hence, o a. The direction of boat’s velocity is 30 west of north b. The direction of boat’s velocity is north-west c. Resultant velocity is 5 3 ms
. The boat
1
d. Resultant velocity of boat is 5 2 ms
13.
1
1
1
A stationary person observes that rain is falling vertically down at 30 kmh . A cyclist is moving up o
on an inclined plane making an angle 30 with horizontal at 10 kmh the cyclist hold his umbrella to prevent himself from the rain?
3 3 with inclined plane. 5 3 c. At an angle tan 1 with inclined plane. 7 a. At an angle tan 1
1
. In which direction should
3 3 with horizontal. 5 3 d. At an angle tan 1 with vertical. 7 b. At an angle tan 1
14.
Two cities A and B are connected by a regular bus services with buses plying in either direction every T seconds. The speed of each bus is uniform and equal to V b . A cyclist cycles from A to B with a uniform speed of V c . A bus goes past the cyclist in T 1 second in the direction A to B and every T 2 second in the direction B to A. Then a. T1
15.
16.
V bT V b Vc
V b T
c.
V b Vc
T1
V b T V b Vc
d. T2
V b T V b Vc
A particle is moving in xy-plane with y = x/2 and v x = 4 – 2t. Choose the correct options. a. Initial velocities in x and y directions are negative. b. Initial velocities in x and y directions are positive. c. Motion is first retarded, then accelerated. d. Motion is first accelerated, then retarded. A body is projected with velocity u at an angle of projection with the horizontal. The direction of o velocity of the body makes angle 30 with the horizontal at t = 2 s and then after 1 s it reaches the maximum height. Then a. u 20 3 ms 1
17.
b. T2
b. 60 o
d. u 10 3 ms 1
c. 30 o
A particle moves in a circle of radius 20 cm. Its linear speed is given by v = 2t where t is in seconds 1 and v in ms . Then a. The radial accelerat ion at t = 2 s is 80 ms 2 b. Tangential acceleration at t = 2 s is 2 ms 2 2 c. Net acceleration at t = 2 is greater than 80 ms d. Tangential acceleration remains constant in magnitude
SECTI ON-II I
(Paragraph Type)
T his section contains 2 groups of questions. E ach question has 4 choices (A ), (B ), (C ) and (D ) for its (+ 3, -1) an sw er, out of w hich ONLY ONE is correct.
A car is moving towards south with a speed of 20 ms 1 . A motorcyclist is moving towards east with a speed of 15 ms from the car. 18. 19.
1
. At a certain instant, the motorcyclist is due sout h of the car and is at a distance of 50 m
The shortest distance between the motorcyclist and the car is a. 10 m b. 20 m c. 30 m The time after which they are closest to each other a. 1/3 s b. 8/3 s c. 1/5 s
SECTI ON-IV
d. 40 m d. 8/5 s
(I nteger Answer Type)
T his section contains 2 questions. T he answ er to each of the questions is a single digit integer, ranging from 0 to 9. T he correct digit below the question num ber in the O R S is be bubbled . (+ 4, 0)
20.
A particle is projected from the ground at an angle 30 o with the horizontal with an initial speed 20 1
ms . At what time after which velocity vector of projectile is perpendicular to the initial velocity? [in second] 21.
From the top of tower of height 80 m, two stones are projected horizontally with 20 ms ms
1
1
and 30
in opposite directions. Find the distance between both the stones on reaching the ground 2
(in 10 m).
ANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / MULUND/ NERUL / POWAI
KINEMATICS – II (ANSWERS KEY)
1. a
2. a
3. b
4. a
5. d
6. c
7. b
8. a
9. c
10. b
11. a, b
12. a, c
13. a, d
14. c, d
15. b, c
16. a, b
17. a, b, c, d 18. c
19. d
20. (4)
21. (2)
