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Kinematics-1D

182 Questions Start Errorless Test
All Exams Allen Advance Errorless
KCET 2012 Q76 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 Q77 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 Q78 Errorless 3. Non-uniform Motion MCQ
The motion of a particle along a straight line is described by equation: $x = 8 + 12t - t^{3}$ 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 Q79 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
MP PET 2012 Q80 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 Q81 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
Odisha JEE 2011 Q82 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
AIEEE 2011 Q83 Errorless 3. Non-uniform Motion MCQ
An object moving with a speed of 6.25 m/s, is decelerated at a rate given by $\frac{dv}{dt} = -2.5\sqrt{v}$ where v 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 PET 2011; AMU (Med.) 2012 Q84 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
CBSE PMT (Pre.) 2011 Q85 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
CBSE PMT 2010; Pb. PMT 2011 Q86 Errorless 3. Non-uniform Motion MCQ
A particle moves a distance x in time t according to equation $x = (t + 5)^{-1}$ . The acceleration of particle is proportional to
A.
(velocity) $^{2/3}$
B.
(velocity) $^{3/2}$
C.
(distance) $^{2}$
D.
(distance) $^{-2}$
KCET 2010 Q87 Errorless 4. Relative Motion MCQ
A train is moving slowly on a straight track with a constant speed of $2ms^{-1}$ . A passenger in that train starts walking at a steady speed of $2ms^{-1}$ to the back of the train in the opposite direction of the motion of the train. So to an observer standing on the platform directly in front of that passenger, the velocity of the passenger appears to be
A.
$4ms^{-1}$
B.
$2ms^{-1}$
C.
$2ms^{-1}$ in the opposite direction of the train
D.
Zero
KCET 2010 Q88 Errorless 4. Relative Motion MCQ
A motorboat covers a given distance in 6 hours moving downstream on a river. It covers the same distance in 10 hours moving upstream. The time it takes to cover the same distance in still water is
A.
9 hours
B.
7.5 hours
C.
6.5 hours
D.
8 hours
DUMET 2010 Q89 Errorless 5. Motion Under Gravity MCQ
Two stones of equal masses are dropped from a rooftop of height $h$ one after another. Their separation distance against time will
A.
Remain the same
B.
Increase
C.
Decrease
D.
Be zero
DUMET 2010 Q90 Errorless 5. Motion Under Gravity MCQ
At t = 0, a stone of mass 10 gm is thrown straight up from the ground level with a speed 10 m/s. After 1 s, a second stone of the same mass is thrown from the same position with a speed 20 m/s. What is the position of the first stone from the ground level at that moment (Take g = $10m/s^{2}$ )
A.
10 m
B.
1 m
C.
2 m
D.
5 m
CBSE PMT 2010 Q91 Errorless 5. Motion Under Gravity MCQ
A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18s. What is the value of v (take g=10 m/s $^{2}$ )
A.
60 m/s
B.
75 m/s
C.
55 m/s
D.
40 m/s
Kerala PET 2010 Q92 Errorless 5. Motion Under Gravity MCQ
Free fall of an object (in vacuum) is a case of motion with
A.
Uniform velocity
B.
Uniform acceleration
C.
Variable acceleration
D.
Constant momentum
E.
Uniform speed
Odisha JEE 2010 Q93 Errorless 5. Motion Under Gravity MCQ
Two identical metal spheres are released from the top of a tower after t seconds of each other such that they fall along the same vertical line. If air resistance is neglected, then at any instant of time during their fall,
A.
The difference in their displacements remain the same
B.
The difference between their speeds remains the same
C.
The difference between their heights above ground is proportional to $t^{2}$
D.
The difference between their displacements is proportional to $t$
Kerala PET 2010, 11; JEE (Main) Feb. 2021 Q94 Errorless 6. Critical Thinking MCQ
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is
A.
$\sqrt{\frac{v^{2}+u^{2}}{2}}$
B.
$\frac{v-u}{2}$
C.
$\frac{u+v}{2}$
D.
$\sqrt{\frac{v^{2}-u^{2}}{2}}$
Odisha JEE 2010 Q95 Errorless 7. Graphical Questions MCQ
The velocity-time and acceleration-time graphs of a particle are given as Its position-time graph may be given as
A.
B.
C.
D.
DUMET 2009 Q96 Errorless 1. Distance and Displacement MCQ
The three initial and final position of a man on the x-axis are given as (i) $(-8m,7m)$ (ii) $(7m,-3m)$ and Which pair gives the negative displacement
A.
(i)
B.
(ii)
C.
(iii)
D.
(i) and (iii)
DUMET 2009 Q97 Errorless 3. Non-uniform Motion MCQ
You drive a car at a speed of 70 km/hr in a straight road for 8.4 km, and then the car runs out of petrol. You walk for 30 min to reach a petrol pump at a distance of 2 km. The average velocity from the beginning of your drive till you reach the petrol pump is
A.
16.8 km/hr
B.
35 km/hr
C.
64 km/hr
D.
18.6 km/hr
DUMET 2009 Q98 Errorless 4. Relative Motion MCQ
A boat crosses a river from port $A$ to port $B$ , which are just on the opposite side. The speed of the water is $V_{W}$ and that of boat is $V_{B}$ relative to still water. Assume $V_{B} = 2V_{W}$ . What is the time taken by the boat, if it has to cross the river directly on the $AB$ line
A.
$\frac{2D}{V_B\sqrt{3}}$
B.
$\frac{\sqrt{3}D}{2V_B}$
C.
$\frac{D}{V_B\sqrt{2}}$
D.
$\frac{D\sqrt{2}}{V_B}$
Kerala PET 2009 Q99 Errorless 5. Motion Under Gravity MCQ
A ball $A$ is thrown up vertically with a speed $u$ and at the same instant another ball $B$ is released from a height $h$ . At time $t$ , the speed of $A$ relative to $B$ is
A.
$u$
B.
$2u$
C.
$u - gt$
D.
$\sqrt{(u^2 - gt)}$
E.
$gt$
AMU (Engg.) 2009 Q100 Errorless 5. Motion Under Gravity MCQ
A body is thrown vertically up with a velocity $u$ . It passes three points $A, B$ and $C$ in its upward journey with velocities $\frac{u}{2}, \frac{u}{3}$ and $\frac{u}{4}$ respectively. The ratio of the separations between points $A$ and $B$ and between $B$ and $C$ i.e., $\frac{AB}{BC}$ is
A.
1
B.
2
C.
$\frac{10}{7}$
D.
$\frac{20}{7}$