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Kinematics-2D

127 Questions Start Objective Test
All Exams Allen Objective Errorless
BHU 2012 Q26 Objective 5. Collection of questions asked in NEET & various medical entrance exams MCQ
A ball thrown by one player reaches the other in 2 s. The maximum height attained by the ball above the point of projection will be (Take, $g = 10 \, ms^{-2}$ )
A.
2.5 m
B.
5 m
C.
7.5 m
D.
10 m
2000 Q27 Objective 1. Taking it together MCQ
An aeroplane moving horizontally with a speed of $720 \, kmh^{-1}$ drops a food pocket, while flying at a height of 396.9 m. The time taken by a food pocket to reach the ground and its horizontal range is (Take $g = 9.8 \, ms^{-2}$ )
A.
3 s and 2000 m
B.
5 s and 500 m
C.
8 s and 1500 m
D.
9 s and 1800 m
2000 Q28 Objective 1. Taking it together MCQ
A bullet is to be fired with a speed of $2000 \, ms^{-1}$ to hit a target 200 m away on a level ground. If $g = 10 \, ms^{-2}$ , the gun should be aimed
A.
directly at the target
B.
5 cm below the target
C.
5 cm above the target
D.
2 cm above the target
Q29 Objective 1. Taking it together MCQ
In a two dimensional motion, instantaneous speed $v_{0}$ is a positive constant. Then which of the following are necessarily true? [NCERT Exemplar]
A.
The average velocity is not zero at any time.
B.
Average acceleration must always vanish.
C.
Displacements in equal time intervals are equal.
D.
Equal path lengths are traversed in equal intervals.
Q30 Objective 1. Taking it together MCQ
In a two dimensional motion, instantaneous speed $v_{0}$ is a positive constant. Then, which of the following are necessarily true? [NCERT Exemplar]
A.
The acceleration of the particle is zero.
B.
The acceleration of the particle is bounded.
C.
The acceleration of the particle is necessarily in the plane of motion.
D.
The particle must be undergoing a uniform circular motion.
Q31 Objective 1. Taking it together MCQ
A particle velocity changes from $(2\hat{\mathbf{i}}-3\hat{\mathbf{j}})\mathrm{ms}^{-1}$ to $(3\hat{\mathbf{i}}-2\hat{\mathbf{j}})\mathrm{ms}^{-1}$ in 2 s. If its mass is 1 kg, the acceleration $(\mathrm{ms}^{-2})$ is
A.
$-(\hat{\mathbf{i}}+\hat{\mathbf{j}})$
B.
$(\hat{\mathbf{i}}+\hat{\mathbf{j}})/2$
C.
zero
D.
$(\hat{\mathbf{i}}-\hat{\mathbf{j}})/2$
Q32 Objective 1. Taking it together MCQ
A projectile is thrown at an angle $\theta$ with the horizontal and its range is $R_{1}$ . It is then thrown at an angle $\theta$ with vertical and the range is $R_{2}$ , then
A.
$R_{1} = 4R_{2}$
B.
$R_{1} = 2R_{2}$
C.
$R_{1} = R_{2}$
D.
None of these
Q33 Objective 1. Taking it together MCQ
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component highest first.
A.
1, 2, 3, 4
B.
2, 3, 4, 1
C.
3, 4, 1, 2
D.
4, 3, 2, 1
Q34 Objective 1. Taking it together MCQ
Which of the following is the graph between the height (h) of a projectile and time (t), when it is projected from the ground?
A.
B.
C.
D.
Q35 Objective 1. Taking it together MCQ
Which of the following is the altitude-time graph for a projectile thrown horizontally from the top of the tower?
A.
B.
C.
D.
Q36 Objective 1. Taking it together MCQ
The horizontal range of a projectile fired at an angle of $15^{\circ}$ is 50 m. If it is fired with the same speed at an angle of $45^{\circ}$ , its range will be [NCERT Exemplar]
A.
60 m
B.
71 m
C.
100 m
D.
141 m
Q37 Objective 1. Taking it together MCQ
A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (Take, $g = 10 \, ms^{-2}$ )
A.
$2.5 \, ms^{-1}$
B.
$5 \, ms^{-1}$
C.
$10 \, ms^{-1}$
D.
$20 \, ms^{-1}$
Q38 Objective 1. Taking it together MCQ
Velocity and acceleration of a particle at some instant of time are $\mathbf{v} = (3\hat{\mathbf{i}} + 4\hat{\mathbf{j}}) \, \text{ms}^{-1}$ and $\mathbf{a} = -(6\hat{\mathbf{i}} + 8\hat{\mathbf{j}}) \, \text{ms}^{-2}$ , respectively. At the same instant particle is at origin, maximum x-coordinate of particle will be
A.
1.5 m
B.
0.75 m
C.
2.25 m
D.
4 m
Q39 Objective 1. Taking it together MCQ
Two paper screens A and B are separated by a distance of 100 m. A bullet pierces A and then B. The hole in B is 10 cm below the hole in A. If the bullet is travelling horizontally at the time of hitting A, then the velocity of the bullet at A is
A.
$100 \, ms^{-1}$
B.
$200 \, ms^{-1}$
C.
$600 \, ms^{-1}$
D.
$700 \, ms^{-1}$
Q40 Objective 1. Taking it together MCQ
Two stones having different masses $m_{1}$ and $m_{2}$ are projected at an angle $\alpha$ and $(90^{\circ}-\alpha)$ with same speed from same point. The ratio of their maximum heights is
A.
1:1
B.
$1:\tan\alpha$
C.
$\tan\alpha:1$
D.
$\tan^{2}\alpha:1$
Q41 Objective 1. Taking it together MCQ
Two projectiles A and B are thrown from the same point with velocities v and v/2, respectively. If B is thrown at an angle $45^{\circ}$ with horizontal, what is the inclination of A when their ranges are the same?
A.
$\sin^{-1}\left(\frac{1}{4}\right)$
B.
$\frac{1}{2}\sin^{-1}\left(\frac{1}{4}\right)$
C.
$2\sin^{-1}\left(\frac{1}{4}\right)$
D.
$\frac{1}{2}\sin^{-1}\left(\frac{1}{8}\right)$
Q42 Objective 1. Taking it together MCQ
A particle moves in the XY-plane according to the law $x = kt$ , $y = kt(1 - \alpha t)$ , where $k$ and $\alpha$ are positive constants and $t$ is time. The trajectory of the particle is
A.
$y = kx$
B.
$y = x - \frac{\alpha x^2}{k}$
C.
$y = -\frac{ax^2}{k}$
D.
$y = \alpha x$
Q43 Objective 1. Taking it together MCQ
The maximum range of a gun on horizontal terrain is 1 km. If $g = 10 \, ms^{-2}$ , what must be the muzzle velocity of the shell?
A.
$400 \, ms^{-1}$
B.
$200 \, ms^{-1}$
C.
$100 \, ms^{-1}$
D.
$50 \, ms^{-1}$
Q44 Objective 1. Taking it together MCQ
The equation of trajectory of a projectile is $y = \sqrt{3} x - \frac{g}{2} x^2$ , the angle of its projection is
A.
$90^\circ$
B.
zero
C.
$60^\circ$
D.
$30^\circ$
Q45 Objective 1. Taking it together MCQ
A projectile is thrown upward with a velocity $v_{0}$ at an angle $\alpha$ to the horizontal. The change in velocity of the projectile when it strikes the same horizontal plane is
A.
$v_{0} \sin \alpha$ vertically downward
B.
$2v_{0} \sin \alpha$ vertically downward
C.
$2v_{0} \sin \alpha$ vertically upward
D.
zero
Q46 Objective 1. Taking it together MCQ
The maximum height attained by a projectile is increased by 10% by increasing its speed of projection, without changing the angle of projection. The percentage increase in the horizontal range will be
A.
20%
B.
15%
C.
10%
D.
5%
Q47 Objective 1. Taking it together MCQ
A body is projected at an angle of $30^{\circ}$ with the horizontal with momentum p. At its highest point, the magnitude of the momentum is
A.
$\frac{\sqrt{3}}{2}p$
B.
$\frac{2}{\sqrt{3}}p$
C.
p
D.
$\frac{p}{2}$
Q48 Objective 1. Taking it together MCQ
A projectile is fired from ground level at an angle $\theta$ above the horizontal. The elevation angle $\phi$ of the highest point as seen from the launch point is related to $\theta$ by the relation
A.
$\tan \phi = \frac{1}{4} \tan \theta$
B.
$\tan \phi = \tan \theta$
C.
$\tan \phi = \frac{1}{2} \tan \theta$
D.
$\tan \phi = 2 \tan \theta$
Q49 Objective 1. Taking it together MCQ
A ball is thrown up with a certain velocity at an angle $\theta$ to the horizontal. The kinetic energy KE of the ball varies with horizontal displacement x as
A.
B.
C.
D.
Q50 Objective 1. Taking it together MCQ
A body projected with velocity u at projection angle $\theta$ has horizontal range R. For the same velocity and projection angle, its range on the moon surface will be $(g_{\text{moon}} = g_{\text{earth}} / 6)$
A.
36R
B.
$\frac{R}{36}$
C.
$\frac{R}{16}$
D.
6R