Kinematics-1D

346 Questions Start Allen Test
Q101 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A ball is thrown upward with a velocity of 50 m/s. It will reach the ground after:-
A.
10 s
B.
20 s
C.
5 s
D.
40 s
Q102 Allen 4. CONSTANT ACCELERATION MOTION MCQ
Two bodies are thrown vertically upwards with their initial speeds in the ratio 2:3. The ratio of the maximum heights reached by them and the ratio of time taken by them to return back to the ground respectively are:
A.
$4:9$ and $2:3$
B.
$2:3$ and $\sqrt{2}:\sqrt{3}$
C.
$\sqrt{2}:\sqrt{3}$ and $4:9$
D.
$\sqrt{2}:\sqrt{3}$ and $2:3$
Q103 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A particle is thrown from the ground upward with velocity 40 m/s. Calculate maximum height:-
A.
40 m
B.
80 m
C.
160 m
D.
8 m
Q104 Allen 4. CONSTANT ACCELERATION MOTION MCQ
If a ball is thrown vertically upwards with 40 m/s, its velocity after three seconds will be:
A.
10 m/s
B.
20 m/s
C.
30 m/s
D.
40 m/s
Q105 Allen 4. CONSTANT ACCELERATION MOTION MCQ
When a ball is thrown vertically up with velocity $v_{0}$ , it reaches a maximum height 'h'. If one wishes to double the maximum height then the ball should be thrown with velocity -
A.
$\sqrt{2}v_{0}$
B.
$3v_{0}$
C.
$9v_{0}$
D.
$3/2v_{0}$
Q106 Allen 4. CONSTANT ACCELERATION MOTION MCQ
With what speed should a body be thrown upwards so that the distances traversed in 7th second and 8th second are equal?
A.
58.4 m/s
B.
49 m/s
C.
$\sqrt{98}$ m/s
D.
68.6 m/s
Q107 Allen 4. CONSTANT ACCELERATION MOTION MCQ
If a ball is thrown vertically upwards with speed u, the distance covered during the last 't' seconds of its ascent is :-
A.
ut
B.
$\frac{1}{2} \mathrm{gt}^2$
C.
$\mathrm{ut} - \frac{1}{2} \mathrm{gt}^2$
D.
$(\mathrm{u} + \mathrm{gt}) \mathrm{t}$
Q108 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A body thrown vertically upwards with an initial velocity u reaches maximum height in 6 seconds. The ratio of the distance travelled by the body in the first second and the seventh second is:-
A.
$1:1$
B.
$11:1$
C.
$1:2$
D.
$5:3$
Q109 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A ball is thrown vertically upwards with velocity 600 m/s. Calculate distance travelled in last 2 sec of its upward motion :-
A.
20 m
B.
30 m
C.
10 m
D.
25 m
Q110 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A body is projected vertically up at t = 0 with a velocity of 98 m/s. Another body is projected from the same point with same velocity after 4 seconds. Both bodies will meet at t =
A.
6 s
B.
8 s
C.
10 s
D.
12 s
Q111 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A ball is thrown vertically upwards. The ball was observed at a height h twice with a time interval $\Delta t$ . The initial velocity of the ball is
A.
$\sqrt{8gh + (g\Delta t)^{2}}$
B.
$\sqrt{2gh + \left(\frac{g\Delta t}{2}\right)^{2}}$
C.
$\sqrt{8gh + (2g\Delta t)^{2}}$
D.
$\sqrt{2gh}$
Q112 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A ball is thrown vertically upwards. Assuming the air resistance to be constant and considerable :-
A.
the time of ascent $\geq$ the time of descent
B.
the time of ascent $<$ the time of descent
C.
the time of ascent $>$ the time of descent
D.
the time of ascent $=$ the time of descent
Q113 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A particle is thrown up vertically with a speed 'v₁', in air. It takes time t₁ in upward journey and tā‚‚ (> t₁) in the downward journey and returns to the starting point with a speed vā‚‚. Then:
A.
$v_{1} = v_{2}$
B.
$v_{1} < v_{2}$
C.
$v_{1} > v_{2}$
D.
Data is insufficient
Q114 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A particle is thrown upwards from ground. It experiences a constant resistance force which produces a retardation of $2\mathrm{m} / \mathrm{s}^2$ . The ratio of time of ascent to the time of descent is $(\mathrm{g} = 10\mathrm{m} / \mathrm{s}^2)$ :-
A.
1
B.
$\sqrt{\frac{2}{3}}$
C.
$\frac{2}{3}$
D.
$\sqrt{\frac{3}{2}}$
Q115 Allen 4. CONSTANT ACCELERATION MOTION MCQ
A stone is thrown straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with which it strikes the ground is approximately $(g = 9.8 \, \text{m/s}^2)$
A.
60 m/sec
B.
65 m/sec
C.
70 m/sec
D.
75 m/sec
Q116 Allen 4. 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
Q117 Allen 4. 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
Q118 Allen 4. 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.
$\frac{9\mathrm{u}^2}{\mathrm{g}}$
Q119 Allen 4. 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
Q120 Allen 4. 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
Q121 Allen 4. 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
Q122 Allen 4. 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
Q123 Allen 4. 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
Q124 Allen 5. 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
Q125 Allen 5. 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