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Kinematics-2D

384 Questions Start Objective Test
All Exams Allen Objective Errorless
MP PMT 2009 Q126 Errorless Horizontal Projectile Motion MCQ
Ratio between maximum range and square of time of flight in projectile motion is
A.
10:49
B.
49:10
C.
98:10
D.
10:98
MP PMT 2009 Q127 Errorless Oblique Projectile Motion MCQ
A body 'A' moves with constant velocity on a straight line path tangential to the earth's surface. Another body 'B' is thrown vertically upwards, it goes to a height and falls back on earth. A third body 'C' is projected to an angle and follows a parabolic path as shown in figure The bodies whose angular momentum relative to the center of the earth is conserved are
A.
B only
B.
B and C
C.
A, B, C
D.
None of the above
EAMCET 2009 Q128 Errorless Oblique Projectile Motion MCQ
A body is projected vertically upwards at time t = 0 and it is seen at a height H at instants $t_{1}$ and $t_{2}$ seconds during its flight. The maximum height attained is (g is acceleration due to gravity)
A.
$\frac{g(t_{2}-t_{1})^{2}}{8}$
B.
$\frac{g(t_{1}+t_{2})^{2}}{4}$
C.
$\frac{g(t_{1}+t_{2})^{2}}{8}$
D.
$\frac{g(t_{2}-t_{1})^{2}}{4}$
Kerala PMT 2009 Q129 Errorless Oblique Projectile Motion MCQ
The relation between the time of flight of a projectile $T_{f}$ and the time to reach the maximum height $t_{m}$ is
A.
$T_{f}=2t_{m}$
B.
$T_{f}=t_{m}$
C.
$T_{f}=\frac{t_{m}}{2}$
D.
$T_{f}=\sqrt{2}(t_{m})$
E.
$T_{f}=\frac{t_{m}}{\sqrt{2}}$
WB-JEE 2009 Q130 Errorless Oblique Projectile Motion MCQ
A bullet is fired with a velocity $u$ making an angle of $60^{\circ}$ with the horizontal plane. The horizontal component of the velocity of the bullet when it reaches the maximum height is
A.
$u$
B.
0
C.
$\frac{\sqrt{3u}}{2}$
D.
$u / 2$
DUMET 2009 Q131 Errorless Oblique Projectile Motion MCQ
A coastguard ship locates a pirate ship at a distance 560 m. It fires a cannon ball with an initial speed 82 m/s. At what angle from horizontal the ball must be fired so that it hits the pirate ship
A.
54°
B.
125°
C.
27°
D.
18°
IIT-JEE 2009 Q132 Errorless Critical Thinking MCQ
A piece of wire is bent in the shape of a parabola $y = kx^{2}$ (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is
A.
a/gk
B.
a/2gk
C.
2a/gk
D.
a/4gk
EAMCET 2009 Q133 Errorless Graphical Questions MCQ
A particle is projected up from a point at an angle $\theta$ with the horizontal direction. At any time $t'$ , if $p$ is the linear momentum, $y$ is the vertical displacement, $x$ is horizontal displacement, the graph among the following which does not represent the variation of Kinetic energy $KE$ of the particle
(A)

(B)

(C)

(D)
A.
Graph A
B.
Graph B
C.
Graph C
D.
Graph D
DUMET 2009 Q134 Errorless Self Evaluation Test MCQ
Tom and Dick are running forward with the same speed. They are throwing a rubber ball to each other at a constant speed v as seen by the thrower. According to Sam who is standing on the ground the speed of the ball is
A.
Same as v
B.
Greater than v
C.
Less than v
D.
None of these
Orissa JEE 2009 Q135 Errorless Self Evaluation Test MCQ
A body is revolving with a uniform speed v in a circle of radius r. The tangential acceleration is
A.
$\frac{v}{r}$
B.
$\frac{v^{2}}{r}$
C.
Zero
D.
$\frac{v}{r^{2}}$
CBSE PMT 2008 Q136 Errorless Non-uniform Circular Motion MCQ
A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between
A.
16m/s and 17m/s
B.
13m/s and 14m/s
C.
14m/s and 15m/s
D.
15m/s and 16m/s
MP PET 2008 Q137 Errorless Non-uniform Circular Motion MCQ
A particle moves in a circle of radius 30 cm. Its linear speed is given by v = 2t where t in second and v in m/s. Find out its radial and tangential acceleration at t = 3 sec respectively,
A.
$220m/sec^{2}, 50m/sec^{2}$
B.
$100m/sec^{2}, 5m/sec^{2}$
C.
$120m/sec^{2}, 2m/sec^{2}$
D.
$110m/sec^{2}, 10m/sec^{2}$
J & K CET 2008; MP PET 2013 Q138 Errorless Non-uniform Circular Motion MCQ
A body moving along a circular path of radius $R$ with velocity $v$ , has centripetal acceleration $a$ . If its velocity is made equal to $2v$ , then its centripetal acceleration is
A.
$4a$
B.
$2a$
C.
$\frac{a}{4}$
D.
$\frac{a}{2}$
MP PET 2008 Q139 Errorless Oblique Projectile Motion MCQ
A projectile moves from the ground such that its horizontal displacement is $x = Kt$ and vertical displacement is $y = Kt(1 - \alpha t)$ , where $K$ and $\alpha$ are constants and $t$ is time. Find out total time of flight (T) and maximum height attained ( $Y_{\max}$ ) its
A.
$T = \alpha$ , $Y_{\max} = \frac{K}{2\alpha}$
B.
$T = \frac{1}{\alpha}$ , $Y_{\max} = \frac{2K}{\alpha}$
C.
$T = \frac{1}{\alpha}$ , $Y_{\max} = \frac{K}{6\alpha}$
D.
$T = \frac{1}{\alpha}$ , $Y_{\max} = \frac{K}{4\alpha}$
MP PET 2008; JEE (Main) 2021 Q140 Errorless Oblique Projectile Motion MCQ
A particle is projected with velocity $V_{0}$ along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin i.e. $a=\alpha x^{2}$ , the distance at which the particle stops is
A.
$\sqrt{\frac{3V_{0}}{2\alpha}}$
B.
$\left(\frac{3V_{0}}{2\alpha}\right)^{\frac{1}{3}}$
C.
$\sqrt{\frac{2V_{0}^{2}}{3\alpha}}$
D.
$\left(\frac{3V_{0}^{2}}{2\alpha}\right)^{\frac{1}{3}}$
Odisha JEE 2008 Q141 Errorless Oblique Projectile Motion MCQ
A body is fired vertically upward. At half the maximum height, the velocity of the body is 10 m/s. The maximum height raised by the body is
A.
0 m
B.
10 m
C.
15 m
D.
20 m
Odisha JEE 2008 Q142 Errorless Oblique Projectile Motion MCQ
A body is thrown upward from the earth surface with velocity 5 m/s and from a planet surface with velocity 3 m/s. Both follow the same path. What is the projectile acceleration due to gravity on the planet
A.
$2 \, m/s^{2}$
B.
$3.5 \, m/s^{2}$
C.
$4 \, m/s^{2}$
D.
$5 \, m/s^{2}$
Kerala PET 2008 Q143 Errorless Oblique Projectile Motion MCQ
Two particles A and B are projected with same speed so that the ratio of their maximum heights reached is 3:1. If the speed of A is doubled without altering other parameters, the ratio of the horizontal ranges attained by A and B is
A.
1:1
B.
2:1
C.
4:1
D.
3:2
E.
4:3
IIT-JEE 2008 Q144 Errorless Critical Thinking MCQ
A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle $\theta$ at which the speed of the bob is half of that at A, satisfies
A.
$\theta = \frac{\pi}{4}$
B.
$\frac{\pi}{4} < \theta < \frac{\pi}{4}$
C.
$\frac{\pi}{2} < \theta < \frac{3\pi}{4}$
D.
$\frac{3\pi}{4} < \theta < \pi$
AIIMS 2008 Q145 Errorless Assertion and reason MCQ
Assertion : A body of mass 1 kg is making 1 rps in a circle of radius 1 m. centrifugal force acting on it is $4\pi^{2}N$ . Reason : Centrifugal force is given by $F = \frac{mv^{2}}{r}$
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
Kerala PMT 2008 Q146 Errorless Self Evaluation Test MCQ
In uniform circular motion of a particle
A.
Velocity is constant but acceleration is variable
B.
Velocity is variable but acceleration in constant
C.
Both speed and acceleration are constant
D.
Speed is constant but acceleration is variable
E.
Both speed and acceleration are variable
CBSE PMT 2008 Q147 Errorless Self Evaluation Test MCQ
A body of mass m is projected at an angle of $45^{\circ}$ with the horizontal. If air resistance is negligible, then total change in momentum when it strikes the ground is
A.
2mv
B.
$\sqrt{2}$ mv
C.
mv
D.
$mv/\sqrt{2}$
MP PET 2007 Q148 Errorless Uniform Circular Motion MCQ
A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity $\omega_{0}$ . If the length of the string and angular velocity both are doubled, the tension in the string which was initially $T_{0}$ is now
A.
$T_{0}$
B.
$T_{0}/2$
C.
$4T_{0}$
D.
$8T_{0}$
MP PET 2007; AIEEE 2011 Q149 Errorless Horizontal Projectile Motion MCQ
A large number of bullets are fired in all directions with same speed v. What is the maximum area on the ground on which these bullets will spread
A.
$\pi\frac{v^{2}}{g}$
B.
$\pi\frac{v^{4}}{g^{2}}$
C.
$\pi^{2}\frac{v^{4}}{g^{2}}$
D.
$\pi^{2}\frac{v^{2}}{g^{2}}$
Kerala PET 2007 Q150 Errorless Oblique Projectile Motion MCQ
A ball is projected from the ground at a speed of $10ms^{-1}$ making an angle of $30^{\circ}$ with the horizontal. Another ball is simultaneously released from a point on the vertical line along the maximum height of the projectile. Both the balls collide at the maximum height of first ball. The initial height of the second ball is $(g=10ms^{-2})$
A.
6.25m
B.
2.5m
C.
3.75m
D.
5m