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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
Q376 Allen CONSTANT ACCELERATION MOTION MCQ
A balloon is at a height of 81 m and is ascending upwards with a velocity of 12 m/s. A body of 2 kg weight is dropped from it. If g = 10 m/s $^{2}$ , the body will reach the surface of the earth in:
A.
1.5 s
B.
4.025 s
C.
5.4 s
D.
6.75 s
Q377 Allen CONSTANT ACCELERATION MOTION MCQ
A ball is thrown vertically upwards from the top of a tower with velocity $4.9 \, ms^{-1}$ . It strikes the pond near the base of the tower after 3 seconds. The height of the tower is :-
A.
73.5 m
B.
44.1 m
C.
29.4 m
D.
None of these
Q378 Allen CONSTANT ACCELERATION MOTION MCQ
A stone is thrown upwards with a speed 'u' from the top of the tower reaches the ground with a velocity '3u'. The height of the tower is:-
A.
$\frac{3\mathrm{u}^2}{\mathrm{g}}$
B.
$\frac{4\mathrm{u}^2}{\mathrm{g}}$
C.
$\frac{6\mathrm{u}^2}{\mathrm{g}}$
D.
$\frac{9\mathrm{u}^2}{\mathrm{g}}$
Q379 Allen CONSTANT ACCELERATION MOTION MCQ
A body dropped from a height h, strikes the ground with velocity 3 m/s. Another body of same mass is thrown downward from the height h with an initial velocity of 4 m/s. Find the final velocity with which it strikes the ground
A.
3 m/s
B.
4 m/s
C.
5 m/s
D.
12 m/s
Q380 Allen CONSTANT ACCELERATION MOTION MCQ
From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically) with same speed. If $V_{A}$ and $V_{B}$ are their respective velocities on reaching the ground then:
A.
$V_{B} > V_{A}$
B.
$V_{A} = V_{B}$
C.
$V_{A} > V_{B}$
D.
None of these
Q381 Allen CONSTANT ACCELERATION MOTION MCQ
A stone falls from a balloon that is descending at a uniform rate of $10 \, ms^{-1}$ . The displacement of the stone from the point of release after 10 seconds is: $(g = 10 \, \text{m/s}^2)$
A.
490 m
B.
510 m
C.
600 m
D.
725 m
Q382 Allen CONSTANT ACCELERATION MOTION MCQ
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at $2 \, m/s^{2}$ . He reaches the ground with a speed of 3 m/s. At what approximate height, did he bail out?
A.
293 m
B.
111 m
C.
91 m
D.
182 m
Q383 Allen CONSTANT ACCELERATION MOTION MCQ
A rocket is fired vertically from the ground. It moves upwards with a constant acceleration $20 \, m/s^{2}$ for 30 sec after which the fuel is finished. After what time from the instant of firing the rocket will attain the maximum height? (Take $g = 10 \, m/s^{2}$ )
A.
90 s
B.
45 s
C.
60 s
D.
75 s
Q384 Allen GRAPHICAL ANALYSIS MCQ
The velocity-time graph of an object is shown. The distance during the interval 0 to $t_4$ is :-
A.
Area A + Area B + Area C + Area D + Area E
B.
Area A + Area C - Area B - Area D
C.
Area A + Area B + Area C + Area D
D.
Area A + Area C + Area E - Area B + Area D
Q385 Allen GRAPHICAL ANALYSIS MCQ
Figure below shows the acceleration-time graph of a one dimensional motion. Which of the following characteristics of the particle is represented by the shaded area?
A.
change in velocity
B.
change in position
C.
change in momentum
D.
velocity
Q386 Allen GRAPHICAL ANALYSIS MCQ
Fig. shows the displacement of a particle moving along x-axis as a function of time. The velocity of the particle is zero at :-
A.
A
B.
B
C.
C
D.
D
Q387 Allen GRAPHICAL ANALYSIS MCQ
The displacement-time graph of a moving particle is shown. The instantaneous velocity of the particle is positive at the point :
A.
D
B.
F
C.
C
D.
E
Q388 Allen GRAPHICAL ANALYSIS MCQ
A person walks along an east-west street and a graph of his displacement from home is shown in figure. His average speed for the whole time interval is
A.
0
B.
23 m/s
C.
8 m/s
D.
None of these
Q389 Allen GRAPHICAL ANALYSIS MCQ
A particle is moving in a straight line y=3x. Its velocity time graph is shown in figure. Its speed is minimum at t=.....
A.
2s
B.
4s
C.
6s
D.
8s
Q390 Allen GRAPHICAL ANALYSIS MCQ
The displacement-time graph for two particles A and B are straight lines inclined at angles of $30^{\circ}$ and $60^{\circ}$ with the time axis. The ratio of velocity of particle A & B ( $V_{A}:V_{B}$ ) is :-
A.
$1:2$
B.
$1:\sqrt{3}$
C.
$\sqrt{3}:1$
D.
$1:3$
Q391 Allen GRAPHICAL ANALYSIS MCQ
Which one of the following curves do not represent motion in one dimension :-
A.
B.
C.
D.
Q392 Allen GRAPHICAL ANALYSIS MCQ
Which of the following displacement-time graphs shows a realistic situation for a body in motion?
A.
B.
C.
D.
Q393 Allen GRAPHICAL ANALYSIS MCQ
Which of the following velocity-time graphs represent uniformly accelerated motion?
A.
B.
C.
D.
Q394 Allen GRAPHICAL ANALYSIS MCQ
The fig. shows the position time graph of a particle moving on a straight line path. What is the magnitude of average speed of the particle over 10 seconds?
A.
2 m/s
B.
4 m/s
C.
6 m/s
D.
8 m/s
Q395 Allen GRAPHICAL ANALYSIS MCQ
From the following velocity time graph of a body the distance travelled by the body and its displacement during 5 seconds in metres will be :
A.
75, 75
B.
110, 70
C.
110, 110
D.
110, 40
Q396 Allen GRAPHICAL ANALYSIS MCQ
The v-t graph of linear motion of a particle starts its motion from origin is shown in adjoining figure. The distance of particle from origin after 8 sec. is :-
A.
18 meters
B.
16 meters
C.
8 meters
D.
6 meters
Q397 Allen GRAPHICAL ANALYSIS MCQ
A particle moves according to given velocity-time graph. Then the ratio of distance travelled in last 4 seconds and 9 seconds is :-
A.
$\frac{1}{4}$
B.
$\frac{2}{5}$
C.
$\frac{1}{8}$
D.
$\frac{4}{11}$
Q398 Allen GRAPHICAL ANALYSIS MCQ
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 s are, respectively :-
A.
8 m, 16 m
B.
$16 \mathrm{~m}, 8 \mathrm{~m}$
C.
16 m, 16 m
D.
$8 \mathrm{~m}, 8 \mathrm{~m}$
Q399 Allen GRAPHICAL ANALYSIS MCQ
The variation of velocity of a particle moving along a straight line is illustrated in the figure. The distance transversed by the particle in 3 seconds is
A.
60 m
B.
45 m
C.
55 m
D.
30 m
Q400 Allen GRAPHICAL ANALYSIS MCQ
Velocity-time (v-t) graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is zero acceleration is:-
A.
60 m
B.
50 m
C.
30 m
D.
40 m