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Kinematics-1D

238 Questions Start Errorless Test
All Exams Allen Objective Errorless
AIPMT (Cancelled) 2015 Q51 Errorless 4. Relative Motion MCQ
A ship A is moving Westwards with a speed of $10kmh^{-1}$ and a ship B 100km South of A, is moving Northwards with a speed of $10kmh^{-1}$ . The time after which the distance between them becomes shortest, is
A.
5h
B.
$5\sqrt{2}h$
C.
$10\sqrt{2}h$
D.
0h
KCET 2015 Q52 Errorless 5. Motion Under Gravity MCQ
A stone of mass 0.05 kg is thrown vertically upwards. What is the direction and magnitude of net force on the stone during its upward motion
A.
0.49 N vertically downwards
B.
9.8 N vertically downwards
C.
0.49 N vertically upwards
D.
0.98 N vertically downwards
WB-JEE 2015 Q53 Errorless 5. Motion Under Gravity MCQ
Two particles A and B having different masses are projected from a tower with same speed. A is projected vertically upward and B vertically downward. On reaching the ground
A.
Velocity of A is greater than that of B
B.
Velocity of B is greater than that of A
C.
Both A and B attain the same velocity
D.
The particle with the larger mass attains higher velocity
JEE (Main) 2014 Q54 Errorless 5. Motion Under Gravity MCQ
From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is a n times that taken by it to reach the highest point of its path. The relation between H, u and n is
A.
$2gH = n^{2}u^{2}$
B.
$gH = (n - 2)^{2}u^{2}$
C.
$2gH = nu^{2}(n - 2)$
D.
$gH = (n - 2)u^{2}$
NEET 2013 Q55 Errorless 5. Motion Under Gravity MCQ
A stone falls freely under gravity. It covers distances $h_1, h_2$ and $h_3$ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between $h_1, h_2$ and $h_3$ is
A.
$h_1 = h_2 = h_3$
B.
$h_1 = 2h_2 = 3h_3$
C.
$h_1 = \frac{h_2}{3} = \frac{h_3}{5}$
D.
$h_2 = 3h_1$ and $h_3 = 3h_2$
J & K CET 2012 Q56 Errorless 3. Non-uniform Motion MCQ
If a particle moves with an acceleration, then which of the following can remain constant
A.
Both speed and velocity
B.
Neither speed nor velocity
C.
Only the velocity
D.
Only the speed
KCET 2012 Q57 Errorless 3. Non-uniform Motion MCQ
A person throws balls into air vertically upward in regular intervals of time of one second. The next ball is thrown when the velocity of the ball thrown earlier becomes zero. The height to which the balls rise is ... (Assume, $g = 10ms^{-2}$ )
A.
$5m$
B.
$10m$
C.
$7.5m$
D.
$20m$
Odisha JEE 2012 Q58 Errorless 3. Non-uniform Motion MCQ
A body moves in a plane so that the displacements along the x and y axes are given by $x = 3t^{3}$ and $y = 4t^{3}$ . The velocity of the body is
A.
9t
B.
15t
C.
$15t^{2}$
D.
$25t^{2}$
CBSE PMT (Pre.) 2012 Q59 Errorless 3. Non-uniform Motion MCQ
The motion of a particle along a straight line is described by equation :$x = 8 + 1 2 t - t ^ {3}$ where $x$ is in metre and $t$ in second. The retardation of the particle when its velocity becomes zero, is
A.
$24ms^{-2}$
B.
Zero
C.
$6ms^{-2}$
D.
$12ms^{-2}$
Kerala PET 2012 Q60 Errorless 3. Non-uniform Motion MCQ
A ball is hung by a string from the ceiling of a car moving on a straight and smooth road. If the string is inclined towards the front side of the car making a small constant angle with the vertical, then the car is moving with
A.
Constant velocity
B.
Constant acceleration
C.
Constant retardation
D.
Increasing acceleration
E.
Decreasing retardation
AMU (Engg.) 2012 Q61 Errorless 3. Non-uniform Motion MCQ
Two trains A and B each of length 400 m are moving on two parallel tracks in the same direction (with A ahead of B) with same speed 72 km/h. The driver of B decides to overtake A and accelerates by $1 \, m/s^{2}$ . If after 50 s, B just brushes past A, calculate the original distance between A and B
A.
750 m
B.
1000 m
C.
1250 m
D.
2250 m
AMU (Med.) 2012 Q62 Errorless 4. Relative Motion MCQ
Let $\vec{r}_{1}(t)=3\hat{t}+\hat{t}t^{2}\hat{j}$ and $\vec{r}_{2}(t)=4t^{2}\hat{i}+3\hat{t}j$ represent the positions of particles 1 and 2, respectively as function of time t; $\vec{r}_{1}(t)$ and $\vec{r}_{2}(t)$ are in meter and t in second. The relative speed of the two particles at the instant t=1s, will be
A.
1m/s
B.
$3\sqrt{2}$ m/s
C.
$5\sqrt{2}$ m/s
D.
$7\sqrt{2}$ m/s
AMU (Engg.) 2012 Q63 Errorless 5. Motion Under Gravity MCQ
A particle is projected up with an initial velocity of 80ft/sec. The ball will be at a height of 96ft from the ground after
A.
2.0 and 3.0 sec
B.
Only at 3.0 sec
C.
Only at 2.0 sec
D.
After 1 and 2 sec
MP PET 2012 Q64 Errorless 6. Critical Thinking MCQ
A train accelerates from rest at a constant rate $\alpha$ for distance $x_{1}$ and time $t_1$ . After that it retards to rest at constant rate $\beta$ for distance $x_{2}$ and time $t_2$ . Which of the following relations is correct
A.
$\frac{x_1}{x_2} = \frac{\alpha}{\beta} = \frac{t_1}{t_2}$
B.
$\frac{x_1}{x_2} = \frac{\beta}{\alpha} = \frac{t_1}{t_2}$
C.
$\frac{x_1}{x_2} = \frac{\alpha}{\beta} = \frac{t_2}{t_1}$
D.
$\frac{x_1}{x_2} = \frac{\beta}{\alpha} = \frac{t_2}{t_1}$
AMU (Engg.) 2012 Q65 Errorless 7. Graphical Questions MCQ
Given below are four curves describing variation of velocity with time of a particle. Which one of these describe the motion of a particle initially in positive direction with constant negative acceleration (W) (X) (Y) (Z)
A.
(W)
B.
(X)
C.
(Y)
D.
(Z)
Kerala PMT 2012 Q66 Errorless 7. Graphical Questions MCQ
The graph between displacement and time for a particle moving with uniform acceleration is a
A.
Straight line with a positive slope
B.
Parabola
C.
Ellipse
D.
Straight line parallel to time axis
E.
Straight line perpendicular to time axis
Odisha JEE 2011 Q67 Errorless 1. Distance and Displacement 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
Kerala PET 2011; AMU (Med.) 2012 Q68 Errorless 3. Non-uniform Motion MCQ
A bus begins to move with an acceleration of $1ms^{-2}$ . A man who is 48m behind the bus starts running at $10ms^{-1}$ to catch the bus. The man will be able to catch the bus after
A.
6s
B.
5s
C.
3s
D.
7s
E.
8s
Odisha JEE 2011 Q69 Errorless 3. Non-uniform Motion MCQ
A body moves with initial velocity $10ms^{-1}$ . If it covers a distance of 20m in 2s, then acceleration of the body is
A.
Zero
B.
$10ms^{-2}$
C.
$5ms^{-2}$
D.
$2ms^{-2}$
AIEEE 2011 Q70 Errorless 3. Non-uniform Motion MCQ
An object moving with a speed of 6.25 m/s, is decelerated at a rate given by $\frac{d\nu}{dt} = -2.5\sqrt{\nu}$ where $\nu$ is the instantaneous speed. The time taken by the object, to come to rest, would be
A.
1s
B.
2s
C.
4s
D.
8s
Kerala PMT 2011 Q71 Errorless 5. Motion Under Gravity MCQ
A stone falls freely from rest from a height h and it travels a distance $\frac{9h}{25}$ in the last second. The value of h is
A.
145 m
B.
100 m
C.
122.5 m
D.
200 m
E.
175 m
CBSE PMT (Pre.) 2011 Q72 Errorless 5. Motion Under Gravity MCQ
A boy standing at the top of a tower of 20m height drops a stone. Assuming $g = 10 \, ms^{-2}$ , the velocity with which it hits the ground is
A.
5.0 m/s
B.
10.0 m/s
C.
20.0 m/s
D.
40.0 m/s
Kerala PET 2011 Q73 Errorless 6. Critical Thinking MCQ
An aircraft is flying at a height of 3400m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10s apart is $30^{\circ}$ , then the speed of the aircraft is
A.
$19.63ms^{-1}$
B.
$1963ms^{-1}$
C.
$108ms^{-1}$
D.
$196.3ms^{-1}$
E.
$10.8ms^{-1}$
Kerala PMT 2010, 11 Q74 Errorless 1. Distance and Displacement MCQ
A graph is drawn between velocity and time for the motion of a particle. The area under the curve between the time intervals $t_1$ and $t_2$ gives
A.
Momentum of the particle
B.
Displacement of the particle
C.
Acceleration of the particle
D.
Change in velocity of the particle
E.
Force on the particle
AMU (Med.) 2010 Q75 Errorless 3. Non-uniform Motion MCQ
Select the incorrect statements from the following S1 : Average velocity is path length divided by time interval S2 : In general, speed is greater than the magnitude of the velocity S3 : A particle moving in a given direction with a non-zero velocity can have zero speed S4 : The magnitude of average velocity is the average speed
A.
S2 and S3
B.
S1 and S4
C.
S1, S3 and S4
D.
All four statements