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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
Q601 Allen ANALYTICAL QUESTIONS MCQ
Instantaneous velocity of a particle - (A) depends on instantaneous position (B) depends on instantaneous speed (C) independent of instantaneous position (D) independent of instantaneous speed
A.
Both (A) & (B) are correct
B.
Both (C) & (D) are correct
C.
Both (A) & (D) are correct
D.
Both (B) & (C) are correct
Q602 Allen ANALYTICAL QUESTIONS MCQ
If the velocity of a body is constant - (A) $|Velocity| = speed$ (B) $|Average velocity| = speed$ (C) $Velocity = average velocity$ (D) $Speed = average speed$
A.
Only (A) is correct
B.
(A) and (B) are correct
C.
(C) and (D) are correct
D.
All are correct
Q603 Allen ANALYTICAL QUESTIONS MCQ
A moving particle is acted upon by three forces at different times to bring it to rest. Its velocity versus time graph is given below The average speed for the first 6 s is
A.
zero
B.
$\frac{5}{3} \mathrm{~ms}^{-1}$
C.
$\frac{10}{3} \mathrm{~ms}^{-1}$
D.
$\frac{20}{3} \mathrm{~ms}^{-1}$
Q604 Allen ANALYTICAL QUESTIONS MCQ
A moving particle is acted upon by three forces at different times to bring it to rest. Its velocity versus time graph is given below The average velocity for the first 12s is
A.
zero
B.
5 m/s
C.
$\frac{10}{3}$ m/s
D.
10 m/s
Q605 Allen ANALYTICAL QUESTIONS MCQ
A moving particle is acted upon by three forces at different times to bring it to rest. Its velocity versus time graph is given below The average acceleration from t = 5s to t = 15s is
A.
zero
B.
-0.5 m/sĀ²
C.
+0.5 m/sĀ²
D.
1 m/sĀ²
Q606 Allen ANALYTICAL QUESTIONS MCQ
Match the entries in column I with points on graph.
Column-IColumn-II
(A)$x \rightarrow$ negative, $v \rightarrow$ positive, $a \rightarrow$ positive
(B)$x \rightarrow$ positive, $v \rightarrow$ negative, $a \rightarrow$ negative
(C)$x \rightarrow$ negative, $v \rightarrow$ negative, $a \rightarrow$ positive
(D)$x \rightarrow$ positive, $v \rightarrow$ positive, $a \rightarrow$ negative
(P)P
(Q)Q
(R)R
(S)S
A.
A ā†’ S, B ā†’ Q, C ā†’ R, D ā†’ P
B.
A ā†’ P, B ā†’ R, C ā†’ Q, D ā†’ S
C.
A ā†’ S, B ā†’ R, C ā†’ Q, D ā†’ P
D.
A ā†’ S, B ā†’ Q, C ā†’ R, D ā†’ S
Q607 Objective Taking it together MCQ
A boy walks to his school at a distance of 6 km with constant speed of $ 2.5 \, km h^{-1} $ and walks back with a constant speed of $ 4 \, km h^{-1} $ . His average speed for round trip expressed (in $ km h^{-1} $ ), is
A.
24/13
B.
40/13
C.
3
D.
1/2
Q608 Objective Taking it together MCQ
The distance travelled by a particle starting from rest and moving with an acceleration $ \frac{4}{3} $ ms $ ^{-2} $ , in the third second is
A.
$ \frac{10}{3} $ m
B.
$ \frac{19}{3} $ m
C.
6 m
D.
4 m
Q609 Objective Taking it together MCQ
A vehicle travels half the distance $ l $ with speed $ v_{1} $ and the other half with speed $ v_{2} $, then its average speed is [NCERT Exemplar]
A.
$ \frac{v_1 + v_2}{2} $
B.
$ \frac{2v_1 + v_2}{v_1 + v_2} $
C.
$ \frac{2v_1v_2}{v_1 + v_2} $
D.
$ \frac{l(v_1 + v_2)}{v_1v_2} $
Q610 Objective Taking it together MCQ
Which of the following speed-time $(v - t)$ graphs is physically not possible?
A.
figure
B.
figure
C.
figure
D.
All of these
Q611 Objective Taking it together MCQ
A particle moves in a straight line with a constant acceleration. It changes its velocity from $ 10 \, ms^{-1} $ to $ 20 \, ms^{-1} $ while passing through a distance $ 135 \, m $ in t second. The value of t (in second) is
A.
12
B.
9
C.
10
D.
1.8
Q612 Objective Taking it together MCQ
A man walks on a straight road from his home to a market 2.5 km away with a speed of $ 5 \, kmh^{-1} $ . Finding the market closed, he instantly turns and walks back home with a speed of $ 7.5 \, kmh^{-1} $ . The average speed of the man over the interval of time 0 to 50 min is equal to
A.
$ 5 \, kmh^{-1} $
B.
$\frac{25}{4}\mathrm{kmh}^{-1}$
C.
$\frac{30}{5}\mathrm{kmh}^{-1}$
D.
$\frac{45}{8}\mathrm{kmh}^{-1}$
Q613 Objective Taking it together MCQ
A car moving with a velocity of $ 10 \, ms^{-1} $ can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is $ 30 \, ms^{-1} $ , it can be stopped by this force in
A.
$\frac{20}{3}\mathrm{m}$
B.
20 m
C.
60 m
D.
180 m
Q614 Objective Taking it together MCQ
A body A starts from rest with an acceleration $ a_{1} $ . After 2 seconds, another body B starts from rest with an acceleration $ a_{2} $ . If they travel equal distance in the 5th second, after the start of A, the then ratio $ a_{1}:a_{2} $ is equal to
A.
5:9
B.
5:7
C.
9:5
D.
9:7
Q615 Objective Taking it together MCQ
The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point figure
A.
E
B.
F
C.
C
D.
D
Q616 Objective Taking it together MCQ
Figure given shows the distance-time graph of the motion of a car. It follows from the graph that the car is figure
A.
at rest
B.
in uniform motion
C.
in non-uniform accelerated motion
D.
uniformly accelerated motion
Q617 Objective Taking it together MCQ
The velocity of a body depends on time according to the equation $ v = \frac{t^{2}}{10} + 20 $ . The body is undergoing
A.
uniform acceleration
B.
uniform retardation
C.
non-uniform acceleration
D.
zero acceleration
Q618 Objective Taking it together MCQ
The velocity v of a particle as a function of its position (x) is expressed as $ v = \sqrt{c_{1} - c_{2}x} $ , where $ c_{1} $ and $ c_{2} $ are positive constants. The acceleration of the particle is
A.
$c_{2}$
B.
$-\frac{c_2}{2}$
C.
$c_{1} - c_{2}$
D.
$\frac{c_1 + c_2}{2}$
Q619 Objective Taking it together MCQ
A person walks up a stalled escalator in 90 s. When he is just standing on the same moving escalator, then he is carried for 60 s. The time it would take him to walk up the moving escalator will be
A.
27 s
B.
50 s
C.
18 s
D.
36 s
Q620 Objective Taking it together MCQ
Particle A is moving along X-axis. At time t = 0, it has velocity of $ 10 \, ms^{-1} $ and acceleration $ -4 \, ms^{-2} $ . Particle B has velocity of $ 20 \, ms^{-1} $ and acceleration $ -2 \, ms^{-2} $ . Initially both the particles are at origin. At time t = 2 s, distance between the two particles is
A.
24 m
B.
36 m
C.
20 m
D.
42 m
Q621 Objective Taking it together MCQ
The displacement of a body along X-axis depends on time as $ \sqrt{x} = t + 1 $ . Then, the velocity of body
A.
increases with time
B.
decreases with time
C.
independent of time
D.
None of these
Q622 Objective Taking it together MCQ
A car starts moving along a line, first with acceleration $ a = 5 \, ms^{-2} $ starting from rest, then uniformly and finally decelerating at the same rate a and comes to rest. The total time of motion is $ 25 \, s $ . The average speed during the time is $ 20 \, ms^{-1} $ . How long does particle move uniformly?
A.
10 s
B.
12 s
C.
20 s
D.
15 s
Q623 Objective Taking it together MCQ
A cyclist starts from the centre O of a circular park of radius one kilometre, reaches the edge P of the park, then cycles along the circumference and returns to the centre along QQ as shown in the figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is figure
A.
0.1
B.
$\frac{\pi + 4}{2}$, 0
C.
21.4, $\frac{\pi + 4}{2}$
D.
0,214
Q624 Objective Taking it together MCQ
A body starts from rest with uniform acceleration a. The acceleration of the body as function of time t is given by the equation $ a = pt $ , where p is a constant, then the displacement of the particle in the time interval t = 0 to $ t = t_{1} $ will be
A.
$\frac{1}{2} pt_1^2$
B.
$\frac{1}{3} pt_1^2$
C.
$\frac{1}{2} pt_1^2$
D.
$\frac{1}{6} pt_1^3$
Q625 Objective Taking it together MCQ
A particle moves along a straight line OX. At a time t (in seconds), the distance $ x = 40 + 12t - t^{3} $ . How long would the particle travel before coming to rest?
A.
24 m
B.
40 m
C.
56 m
D.
16 m