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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
Q501 Allen PROJECTION FROM A HEIGHT MCQ
An aeroplane moving horizontally with a speed of 90 km/h drops a food packet while flying at a height of 490 m. The horizontal range of the packet is:
A.
180 m
B.
250 m
C.
500 m
D.
670 m
Q502 Allen PROJECTION FROM A HEIGHT MCQ
A stuntman plans to run along a roof top and then horizontally off it to land on the roof of next building. The roof of the next building is 19.6 metres below the first one and 6.2 metres away from it. What should be his minimum roof top speed in m/s, so that he can successfully make the jump?
A.
3.1
B.
4.0
C.
4.9
D.
6.2
Q503 Allen PROJECTION FROM A HEIGHT MCQ
Two stones are projected horizontally from the same height with speeds 100 m/s and 40 m/s. The ratio of their horizontal range is
A.
1:1
B.
5:2
C.
2:5
D.
3:4
Q504 Allen PROJECTION FROM A HEIGHT MCQ
A body is thrown horizontally with a velocity 20 m/s from the top of a tower of height 20 m. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is :-
A.
20 m
B.
10 m
C.
40 m
D.
30 m
Q505 Allen PROJECTION FROM A HEIGHT MCQ
A bomber is flying horizontally with a constant speed of 150 m/s at a height of 19.6 m. The pilot has to drop a bomb at the enemy target. At what horizontal distance from the target should he release the bomb?
A.
0 m
B.
300 m
C.
600 m
D.
1000 m
Q506 Allen PROJECTION FROM A HEIGHT MCQ
A boy wants to jump from building A to building B. Height of building A is 25 m and that of building B is 5m. Distance between buildings is 8m. Assume that the boy jumps horizontally, then calculate minimum velocity with which he has to jump to land safely on building B.
A.
$6\mathrm{m / s}$
B.
$8\mathrm{m / s}$
C.
$4\mathrm{m / s}$
D.
$2\mathrm{m / s}$
Q507 Allen PROJECTION FROM A HEIGHT MCQ
A boy wants to jump from building A to building B. Height of building A is 39.2 m and building B is 19.6m. Distance between buildings is 20 m. Assuming boy jumps horizontally, then calculate minimum velocity with which boy has to jump to land safely on building B :-
A.
$10\mathrm{m / s}$
B.
$20\mathrm{m / s}$
C.
$9.8\mathrm{m / s}$
D.
$19.6\mathrm{m / s}$
Q508 Allen PROJECTION FROM A HEIGHT MCQ
Two buildings are separated by 30 m. By what speed a ball is projected horizontally from a window at height 150 m in one building so as to enter in the window at height 27.5 m in the other building.
A.
2 m/s
B.
6 m/s
C.
4 m/s
D.
8 m/s
Q509 Allen PROJECTION FROM A HEIGHT MCQ
Two bodies of masses 100 kg and 50 kg are projected horizontally from same height with speeds 40 m/s and 20 m/s, simultaneously. The ratio of time taken by both the bodies to reach the ground is:-
A.
1:1
B.
1:2
C.
2:1
D.
1:4
Q510 Allen PROJECTION FROM A HEIGHT MCQ
A ball is thrown horizontally from a height of 90 m with a speed of 4.5 m/s then find the time when it is at the height of 45 m from the ground:
A.
$3\sqrt{2}$ sec
B.
10 sec
C.
9 sec
D.
3 sec
Q511 Allen PROJECTION FROM A HEIGHT MCQ
When a particle is thrown horizontally with speed u from top of tower, the displacement of the projectile at any time t is given by:
A.
$\sqrt{u^{2}t^{2}+g^{2}t^{2}}$
B.
$\sqrt{u^{2}t^{2}+\frac{1}{4}g^{2}t^{4}}$
C.
$\sqrt{u^{2}+g^{2}t^{2}}$
D.
$\sqrt{u^{2}-g^{2}t^{2}}$
Q512 Allen PROJECTION FROM A HEIGHT MCQ
A plane is flying horizontally at $98\sqrt{3}$ m/s and releases an object which reaches the ground in 10 s. The angle made by it with horizontal while hitting the ground is:
A.
$55^{\circ}$
B.
$45^{\circ}$
C.
$60^{\circ}$
D.
$30^{\circ}$
Q513 Allen PROJECTION FROM A HEIGHT MCQ
From the top of a tower 78.4 m high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of $45^{\circ}$ with the horizontal, then the initial velocity of the ball is:
A.
9.8 m/s
B.
4.9 m/s
C.
19.6 m/s
D.
2.8 m/s
Q514 Allen PROJECTION FROM A HEIGHT MCQ
A particle is projected horizontally with a speed of $\frac{20}{\sqrt{3}}$ m/s, from some height at t = 0. At what time will its velocity make $30^{\circ}$ angle with the initial velocity
A.
1 sec
B.
2 sec
C.
1.5 sec
D.
$2/3$ sec
Q515 Allen PROJECTION FROM A HEIGHT MCQ
In the above question what will be the displacement of the particle in x-direction when its velocity makes $30^{\circ}$ angle with the initial velocity
A.
$\frac{20}{\sqrt{3}}$ m
B.
$\frac{40}{3\sqrt{3}}$ m
C.
$\frac{50}{\sqrt{3}}$ m
D.
$\frac{10}{\sqrt{3}}$ m
Q516 Allen PROJECTION FROM A HEIGHT MCQ
A ball is projected upwards from the top of a tower with a velocity of 50 m/s making an angle of $30^{\circ}$ with the horizontal. The height of the tower is 70m. After how much time from the instant of throwing, will the ball reach the ground?
A.
2 s
B.
5 s
C.
7 s
D.
9 s
Q517 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
Which one of the following represents the displacement-time graph of two objects A and B moving with zero relative speed :-
A.
B.
C.
D.
Q518 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
A monkey is climbing up a tree at a speed of 3 m/s. A dog runs towards the tree with a speed of 4 m/s. What is the relative speed of the dog as seen by the monkey?
A.
> 7 m/s
B.
Between 5 m/s and 7 m/s
C.
5 m/s
D.
< 5 m/s
Q519 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is:-
A.
East-north direction
B.
West-north direction
C.
South-east direction
D.
None of these
Q520 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
Two car A & B start from rest (from the same point) in same direction with acceleration 8 m/sĀ² & 4 m/sĀ² respectively then acceleration of car B in frame of A(Take direction of motion of car is positive) :-
A.
4 m/sĀ²
B.
-4 m/sĀ²
C.
12 m/sĀ²
D.
None of these
Q521 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
A motorcycle is moving with a velocity of 80 km/h and a car is moving with a velocity of 65 km/h in the opposite direction. What is the relative velocity of the motorcycle with respect to the car?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
145 km/h
Q522 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
Two cars A and B start moving from the same point with same speed v = 5 km/minute. Car A moves towards south and car B is moving towards west. What is the relative velocity of B with respect to A?
A.
$5\sqrt{2}$ km/min towards South-East
B.
$5\sqrt{2}$ km/min towards North-West
C.
$5\sqrt{2}$ km/min towards South-West
D.
$5\sqrt{2}$ km/min towards North-East
Q523 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
A train is moving towards East with a speed 20 m/s. A person is running on the roof of the train with a speed 3 m/s in the direction of motion of train. Velocity of the person as seen by an observer on ground will be :
A.
23 m/s towards East
B.
17 m/s towards East
C.
23 m/s towards West
D.
17 m/s towards West
Q524 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
A jet air plane travelling with a speed of 500 km/h ejects its products of combustion with a speed of 1600 km/h relative to the jet plane. The speed of the latter with respect to an observer on the ground is:-
A.
1600 km/h
B.
2100 km/h
C.
1100 km/h
D.
500 km/h
Q525 Allen RELATIVE MOTION IN ONE DIMENSION MCQ
A train moves in north direction with a speed of 54 km/h. A monkey is running on the roof of the train, against its motion with a velocity of 36 km/h. with respect to train. The velocity of monkey as observed by a man standing on the ground is:
A.
5 m/s due north
B.
25 m/s due south
C.
10 m/s due south
D.
10 m/s due north