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Kinematics-1D

135 Questions Start Errorless Test
All Exams Allen Advance Errorless
Basic Level Q51 Errorless 2. 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 Q52 Errorless 2. 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 Q53 Errorless 2. 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 Q54 Errorless 2. 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 Q55 Errorless 2. 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 Q56 Errorless 2. 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 Q57 Errorless 2. 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 Q58 Errorless 2. 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 Q59 Errorless 2. 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 Q60 Errorless 3. 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 Q61 Errorless 3. 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 Q62 Errorless 3. 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 Q63 Errorless 3. 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 Q64 Errorless 4. 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 Q65 Errorless 4. Position Time Graph MCQ
Which of the following can not be the distance time graph
A.
B.
C.
D.
Basic Level Q66 Errorless 4. Position Time Graph MCQ
Which of the following displacement time graphs is not possible
A.
B.
C.
D.
Basic Level Q67 Errorless 4. 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 Q68 Errorless 5. 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 Q69 Errorless 5. 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 Q70 Errorless 5. 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 Q71 Errorless 5. 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 Q72 Errorless 5. 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.
$250 \, m/s^{2}$
Basic Level Q73 Errorless 5. Velocity Time Graph MCQ
The figure shows the velocity of a particle plotted against time t
A.
The displacement of the particle is zero
B.
The particle changes its direction of motion at some point
C.
The initial and final speeds of the particle are same
D.
All of the above statements are correct
Basic Level Q74 Errorless 5. Velocity Time Graph MCQ
The v-t plot of a moving object is shown in the figure. The average velocity of the object during the first 10 seconds is
A.
0
B.
$2.5 \, ms^{-1}$
C.
$5 \, ms^{-1}$
D.
$2 \, ms^{-1}$
Basic Level Q75 Errorless 5. Velocity Time Graph MCQ
Which of the following velocity time graphs is possible.
A.
B.
C.
D.