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Kinematics-1D

585 Questions Start Allen Test
All Exams Allen Advance Errorless
JEE-Main 2013 Q126 Allen JEE-Main PYQs MCQ
A projectile is given an initial velocity of $(\hat{t} + 2\hat{j})$ m/s, where $\hat{t}$ is along the ground and $\hat{j}$ is along the vertical. If $g = 10 \, m/s^{2}$ , the equation of its trajectory is :
A.
$y = x - 5x^{2}$
B.
$y = 2x - 5x^{2}$
C.
$4y = 2x - 5x^{2}$
D.
$4y = 2x - 25x^{2}$
NEET 2013 Q127 Errorless 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 $h_{3} = 3h_{2}$
AMU (Engg.) 2012 Q128 Errorless 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 72km/h. The driver of B decides to overtake A and accelerates by $1m/s^{2}$ . 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
J & K CET 2012 Q129 Errorless 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 Q130 Errorless 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 Q131 Errorless 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 Q132 Errorless 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 Q133 Errorless 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 Q134 Errorless 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 Q135 Errorless 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
2011 Q136 Advance ARCHIVE: JEE MAIN MCQ
An object moving with a speed of $6.25 \, ms^{-1}$ , 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.
1 s
B.
2 s
C.
4 s
D.
8 s
Odisha JEE 2011 Q137 Errorless 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 Q138 Errorless 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 Q139 Errorless 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 Q140 Errorless 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
2010 Q141 Advance ARCHIVE: JEE MAIN MCQ
A particle is moving with velocity $\vec{v} = K(y\hat{i} + x\hat{j})$ where $K$ is a constant. The general equation for its path is
A.
$y^{2} = x^{2} + \text{constant}$
B.
$y = x^{2} + \text{constant}$
C.
$y^{2} = x + \text{constant}$
D.
$xy = \text{constant}$
CBSE PMT 2010; Pb. PMT 2011 Q142 Errorless 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 Q143 Errorless 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 Q144 Errorless 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 Q145 Errorless 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 Q146 Errorless 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 Q147 Errorless 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 Q148 Errorless 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 Q149 Errorless 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 Q150 Errorless 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.
$\sqrt{\frac{v^{2}-u^{2}}{2}}$