← Back to Physics-I

Kinematics-1D

538 Questions Start Allen Test
All Exams Allen Advance Errorless
Basic Level Q451 Errorless Distance and Displacement MCQ
If the displacement of a particle is zero, then what can we say about its distance covered
A.
It must be zero
B.
It cannot be zero
C.
It is negative
D.
It may or may not be zero
Basic Level Q452 Errorless Distance and Displacement MCQ
The location of a particle has changed. What can we say about the displacement and the distance covered by the particle
A.
Both cannot be zero
B.
One of the two may be zero
C.
Both must be zero
D.
If one is positive, the other is negative and vice versa
Advance Level Q453 Errorless Distance and Displacement MCQ
A particle moves along a circular arc of radius $R$ making an angle of $\theta$ at centre. The magnitude of displacement is
A.
$2R\sin \theta / 2$
B.
$2R\sin \theta$
C.
$R\sin \theta / 2$
D.
$R\sin \theta$
Basic Level Q454 Errorless Speed and Velocity MCQ
A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is
A.
S / 5
B.
2S / 5
C.
S / 2 + S / 3
D.
None of the above
Basic Level Q455 Errorless Speed and Velocity MCQ
When a particle moves with uniform velocity, which of the following relations are correct (I) Average speed = average velocity (II) Instantaneous speed = instantaneous velocity (III) Distance covered = magnitude of displacement
A.
I, II, III
B.
I, II
C.
II, III
D.
I, III
Basic Level Q456 Errorless Speed and Velocity MCQ
When a particle moves with variable velocity, which of the following statements are not correct (I) Average speed = average velocity (II) Instantaneous speed = instantaneous velocity (III) Distance covered = magnitude of displacement
A.
I, II, III
B.
I, II
C.
II, III
D.
I, III
Basic Level Q457 Errorless Speed and Velocity MCQ
A particle moves along the sides AB, BC, CD of a square of side 25 m with a velocity of $15 \, ms^{-1}$ . Its average velocity is
A.
$15ms^{-1}$
B.
$10ms^{-1}$
C.
$7.5ms^{-1}$
D.
$5ms^{-1}$
Basic Level Q458 Errorless Speed and Velocity MCQ
A body has speed V, 2V and 3V in first 1/3 of distance S, seconds 1/3 of S and third 1/3 of S respectively. Its average speed will be
A.
V
B.
2V
C.
$\frac{18}{11}$ V
D.
$\frac{11}{18}$ V
Advance Level Q459 Errorless Speed and Velocity MCQ
A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is [IIT-JEE 199]
A.
4.0 m/s
B.
5.0 m/s
C.
5.5 m/s
D.
4.8 m/s
Advance Level Q460 Errorless Speed and Velocity MCQ
If the body covers one-third distance at speed $v_{1}$ , next one third at speed $v_{2}$ and last one third at speed $v_{3}$ , then average speed will be
A.
$\frac{v_{1}v_{2}+v_{2}v_{3}+v_{3}v_{1}}{v_{1}+v_{2}+v_{3}}$
B.
$\frac{v_{1}+v_{2}+v_{3}}{3}$
C.
$\frac{v_{1}v_{2}v_{3}}{v_{1}v_{2}+v_{2}v_{3}+v_{3}v_{1}}$
D.
$\frac{3v_{1}v_{2}v_{3}}{v_{1}v_{2}+v_{2}v_{3}+v_{3}v_{1}}$
Advance Level Q461 Errorless Speed and Velocity MCQ
The displacement of the particle varies with time according to the relation $x = \frac{k}{b} [1 - e^{-bt}]$ . Then the velocity of the particle is
A.
$k(e^{-bt})$
B.
$\frac{k}{b^2e^{-bt}}$
C.
$kb e^{-bt}$
D.
None of these
Advance Level Q462 Errorless Speed and Velocity MCQ
The displacement of a particle is given by $\sqrt{x} = t + 1$ . Which of the following statements about its velocity is true
A.
It is zero
B.
It is constant but not zero
C.
It increases with time
D.
It decreases with time
Basic Level Q463 Errorless Acceleration MCQ
The correct statement from the following is
A.
A body having zero velocity will not necessarily have zero acceleration
B.
A body having zero velocity will necessarily have zero acceleration
C.
A body having uniform speed can have only uniform acceleration
D.
A body having non-uniform velocity will have zero acceleration
Basic Level Q464 Errorless Acceleration MCQ
What is the angle between instantaneous displacement and acceleration during the retarded motion
A.
Zero
B.
$\frac{\pi}{4}$
C.
$\frac{\pi}{2}$
D.
$\pi$
Advance Level Q465 Errorless Acceleration MCQ
The acceleration of a particle starting from rest, varies with time according to the relation $A = -a\omega^2 \sin \omega t$ . The displacement of this particle at a time $t$ will be
A.
$-\frac{1}{2}\left(a\omega^2 \sin \omega t\right)t^2$
B.
$a\omega \sin \omega t$
C.
$a\omega \cos \omega t$
D.
$a \sin \omega t$
Advance Level Q466 Errorless Acceleration MCQ
If the velocity of a particle is $(10 + 2t^{2})$ m/s, then the average acceleration of the particle between 2s and 5s is
A.
$2 \, m/s^{2}$
B.
$4 \, m/s^{2}$
C.
$12 \, m/s^{2}$
D.
$14 \, m/s^{2}$
Basic Level Q467 Errorless Position Time Graph MCQ
A car dealcelerates at a constant rate during a period commencing at $t = 0$ . Which of the displacement time graphs represents the displacement of the car
A.
B.
C.
D.
Basic Level Q468 Errorless Position Time Graph MCQ
Which of the following can not be the distance time graph
A.
B.
C.
D.
Basic Level Q469 Errorless Position Time Graph MCQ
Which of the following displacement time graphs is not possible
A.
B.
C.
D.
Basic Level Q470 Errorless Position Time Graph MCQ
The $x - t$ graph in figure represents
A.
Constant velocity
B.
Velocity of the body continuously changing
C.
Instantaneous velocity
D.
The body travels with constant speed up to time $t_{1}$ and then stops
Basic Level Q471 Errorless Velocity Time Graph MCQ
The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is
A.
60 m
B.
55 m
C.
25 m
D.
30 m
Basic Level Q472 Errorless Velocity Time Graph MCQ
A car accelerates from rest at a constant rate $\alpha$ for some time, after which it decelerates at a constant rate $\beta$ and comes to rest. If the total time elapsed in t, then the maximum velocity acquired by the car is
A.
$\left(\frac{\alpha^{2}+\beta^{2}}{\alpha\beta}\right)t$
B.
$\left(\frac{\alpha^{2}-\beta^{2}}{\alpha\beta}\right)t$
C.
$\frac{(\alpha+\beta)t}{\alpha\beta}$
D.
$\frac{\alpha\beta t}{\alpha+\beta}$
Basic Level Q473 Errorless Velocity Time Graph MCQ
A rocket is projected vertically upwards, whose velocity-time graph is shown in fig. The maximum height reached by the rocket is
A.
1 km
B.
10 km
C.
20 km
D.
60 km
Basic Level Q474 Errorless Velocity Time Graph MCQ
In the above problem the mean velocity of rocket in reaching the maximum height will be
A.
100 m/s
B.
50 m/s
C.
500 m/s
D.
25/3 m/s
Basic Level Q475 Errorless Velocity Time Graph MCQ
In the above problem the acceleration of rocket will be
A.
$50 \, m/s^{2}$
B.
$100 \, m/s^{2}$
C.
$500 \, m/s^{2}$
D.
$250 \, m/s^{2}$