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Kinematics-1D

238 Questions Start Errorless Test
All Exams Allen Objective Errorless
JEE (Main) 2021 Q26 Errorless 7. Graphical Questions MCQ
The velocity-displacement graph of a particle is shown in the figure The acceleration-displacement graph of the same particle is represented by
A.
B.
C.
D.
JEE (Main) 2021 Q27 Errorless 7. Graphical Questions MCQ
The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by
A.


B.


C.


D.


JEE (Main) 2021 Q28 Errorless 7. Graphical Questions MCQ
The velocity-displacement graph describing the motion of a bicycle is shown in the figure The acceleration-displacement graph of the bicycle's motion is best described by
A.
B.
C.
D.
JEE (Main) 2020 Q29 Errorless 6. Critical Thinking MCQ
Train A and train B are running on parallel tracks in the opposite directions with speed of 36 km/hour and 72 km/hour, respectively. A person is walking in train A in the direction opposite to its motion with a speed of 1.8 km/hour. Speed (in ms $^{-1}$ ) of this person as observed from train B will be close to (take the distance between the tracks as negligible)
A.
30.5 ms $^{-1}$
B.
29.5 ms $^{-1}$
C.
31.5 ms $^{-1}$
D.
28.5 ms $^{-1}$
JEE (Main) 2020 Q30 Errorless 6. Critical Thinking MCQ
Starting from the origin at time t=0, with initial velocity $5\hat{j}ms^{-1}$ , a particle moves in the x-y plane with a constant acceleration of $(10\hat{i}+4\hat{j})ms^{-2}$ . At time t, its coordinates are $(20\ m,\ y_{0}m)$ . The values of t and $y_{0}$ , are respectively
A.
4s and 52 m
B.
2s and 24 m
C.
2s and 18 m
D.
5s and 25 m
JEE (Main) 2020 Q31 Errorless 6. Critical Thinking MCQ
A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is a height h. The time taken by the packet to reach the ground is close to [g is the acceleration due to gravity]
A.
$t = \sqrt{\frac{2h}{3g}}$
B.
$t = 1.8\sqrt{\frac{h}{g}}$
C.
$t = 3.4\sqrt{\left(\frac{h}{g}\right)}$
D.
$t = \frac{2}{3}\sqrt{\left(\frac{h}{g}\right)}$
JEE (Main) 2020 Q32 Errorless 6. Critical Thinking MCQ
The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6s is
A.
12 m v(m/s)
B.
$\frac{49}{4}m$ ā†‘
C.
11 m
D.
$\frac{37}{3}m$
JEE (Main) 2020 Q33 Errorless 6. Critical Thinking MCQ
When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain drops are coming at an angle $60^{\circ}$ from the horizontal. On further increasing the speed of the car $(1 + \beta)v$ , this angle changes to $45^{\circ}$ . The value of $\beta$ is close to
A.
0.41
B.
0.50
C.
0.37
D.
0.73
NEET 2020 Q34 Errorless 6. Critical Thinking MCQ
A ball is thrown vertically downward with a velocity of 20 m/s from the top of a tower. It hits the ground after some time with a velocity of 80 m/s. The height of the tower is $(g=10m/s^{2})$
A.
300 m
B.
360 m
C.
340 m
D.
320 m
JEE (Main) 2020 Q35 Errorless 7. Graphical Questions MCQ
A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale)
A.
B.
C.
D.
JEE (Main) 2019 Q36 Errorless 6. Critical Thinking MCQ
In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed 'v' more than that of car B. Both the cars start from rest and travel with constant acceleration $a_{1}$ and $a_{2}$ respectively. Then 'v' is equal to
A.
$\frac{a_{1}+a_{2}}{2}t$
B.
$\sqrt{2a_{1}a_{2}}t$
C.
$\frac{2a_{1}a_{2}}{a_{1}+a_{2}}t$
D.
$\sqrt{a_{1}a_{2}}t$
JEE (Main) 2019 Q37 Errorless 6. Critical Thinking MCQ
A particle starts from the origin at time $t = 0$ and moves along the positive $x$ -axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t = 5s$
A.
$6m$
B.
$9m$
C.
$3m$
D.
$10m$
JEE (Main) 2019 Q38 Errorless 6. Critical Thinking MCQ
Two particles A, B are moving on two concentric circles of radii $R_{1}$ and $R_{2}$ with equal angular speed $\omega$ . At t=0, their positions and direction of motion are shown in the figure The relative velocity $\vec{v}_{A}-\vec{v}_{B}$ at $t=\frac{\pi}{2\omega}$ is given by
A.
$-\omega(R_{1}+R_{2})\hat{i}$
B.
$\omega (R_1 + R_2)\hat{i}$
C.
$\omega(R_{1}-R_{2})\hat{i}$
D.
$\omega (R_2 - R_1)\hat{i}$
JEE (Main) 2019 Q39 Errorless 6. Critical Thinking MCQ
The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight
A.
$60^{0}$
B.
$150^{0}$
C.
$90^{0}$
D.
$120^{0}$
JEE (Main) 2019 Q40 Errorless 6. Critical Thinking MCQ
The position of a particle as a function of time t, is given by $x(t) = at + bt^{2} - ct^{3}$ where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be
A.
$a + \frac{b^{2}}{4c}$
B.
$a + \frac{b^{2}}{c}$
C.
$a + \frac{b^{2}}{2c}$
D.
$a + \frac{b^{2}}{3c}$
JEE (Main) 2019 Q41 Errorless 6. Critical Thinking MCQ
The position vector of a particle changes with time according to the relation $\vec{r}(t) = 15t^2\hat{i} + (4 - 20t^2)\hat{j}$ . What is the magnitude of the acceleration at $t = 1$
A.
40
B.
100
C.
25
D.
50
JEE (Main) 2019 Q42 Errorless 6. Critical Thinking MCQ
A ball is thrown upward with an initial velocity $V_{0}$ from the surface of the earth. The motion of the ball is affected by a drag force equal to $m\gamma v^{2}$ (where m is mass of the ball, v is its instantaneous velocity and $\gamma$ is a constant). Time taken by the ball to rise to its zenith is
A.
$\frac{1}{\sqrt{\gamma g}}\sin^{-1}\left(\sqrt{\frac{\gamma}{g}}v_{0}\right)$
B.
$\frac{1}{\sqrt{\gamma g}}\tan^{-1}\left(\sqrt{\frac{\gamma}{g}}v_{0}\right)$
C.
$\frac{1}{\sqrt{2\gamma g}}\tan^{-1}\left(\sqrt{\frac{2\gamma}{g}}v_{0}\right)$
D.
$\frac{1}{\sqrt{\gamma g}}\ln\left(1+\sqrt{\frac{\gamma}{g}}v_{0}\right)$
JEE (Main) 2019 Q43 Errorless 6. Critical Thinking MCQ
A particle is moving with speed $v = b\sqrt{x}$ along positive x-axis. Calculate the speed of the particle at time $t = \tau$ (assume that the particle is at origin at t = 0)
A.
$\frac{b^{2}\tau}{4}$
B.
$\frac{b^{2}\tau}{2}$
C.
$b^{2}\tau$
D.
$\frac{b^{2}\tau}{\sqrt{2}}$
NEET 2019 Q44 Errorless 6. Critical Thinking MCQ
The speed of a swimmer in still water is 20m/s. The speed of river water is 10m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes w.r.t. north is given by
A.
30Ā° west
B.
0Ā°
C.
60Ā° west
D.
45Ā° west
JEE (Main) 2019 Q45 Errorless 7. Graphical Questions MCQ
A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time)
(A)

(B)

(C)

(D)
A.
(A), (B), (C)
B.
(A)
C.
(A), (B), (D)
D.
(B), (C)
NEET 2017; JEE (Main) 2021 Q46 Errorless 2. Uniform Motion MCQ
Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time $t_{1}$ . On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time $t_{2}$ . The time taken by her to walk up on the moving escalator will be
A.
$\frac{t_{1} + t_{2}}{2}$
B.
$\frac{t_{1}t_{2}}{t_{2} - t_{1}}$
C.
$\frac{t_{1}t_{2}}{t_{2} + t_{1}}$
D.
$t_{1} - t_{2}$
NEET (Phase-I) 2016 Q47 Errorless 3. Non-uniform Motion MCQ
If the velocity of a particle is $v = At + Bt^{2}$ , where A and B are constants, then the distance travelled by it between 1s and 2s is
A.
$\frac{3}{2}A + 4B$
B.
$3A + 7B$
C.
$\frac{3}{2}A + \frac{7}{3}B$
D.
$\frac{A}{2} + \frac{B}{3}$
AIPMT (Cancelled) 2015 Q48 Errorless 3. Non-uniform Motion MCQ
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $v(x) = bx^{-2n}$ Where b and n are constants and x is the position of the particle. The acceleration of the particles as function of x, is given by
A.
$-2nb^{2}x^{-4n-1}$
B.
$-2b^{2}x^{-2n+1}$
C.
$-2nb^{2}e^{-4n+1}$
D.
$-2nb^{2}x^{-2n-1}$
KCET 2015 Q49 Errorless 3. Non-uniform Motion MCQ
The velocity-time graph for two bodies A and B are shown. Then the acceleration of A and B are in the ratio
A.
$\tan 25^{\circ}$ to $\tan 50^{\circ}$
B.
$\cos 25^{\circ}$ to $\cos 50^{\circ}$
C.
$\tan 25^{\circ}$ to $\tan 40^{\circ}$
D.
$\sin 25^{\circ}$ to $\sin 50^{\circ}$
WB-JEE 2015 Q50 Errorless 4. Relative Motion MCQ
Particle A moves along X-axis with a uniform velocity of magnitude 10 m/s. Particle B moves with uniform velocity 20 m/s along a direction making an angle of $60^{\circ}$ with the positive direction of X-axis as shown in figure. the relative velocity of B with respect to that of A is
A.
10 m/s along X-axis
B.
$10\sqrt{3}$ m/s along Y-axis (perpendicular to X-axis)
C.
$10\sqrt{5}$ along the bisection of the velocity of A and B
D.
30 m/s along negative X-axis