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Kinematics-2D

118 Questions Start Errorless Test
All Exams Allen Advance Errorless
EAMCET 2001 Advance Level Q1 Errorless 1. Trajectory MCQ
An object is projected with a velocity of 20 m/s making an angle of $45^{\circ}$ with horizontal. The equation for the trajectory is $h = Ax - Bx^{2}$ where h is height, x is horizontal distance, A and B are constants. The ratio A : B is ( $g = 10 \, m/s^{2}$ )
A.
1 : 5
B.
5 : 1
C.
1 : 40
D.
40 : 1
IIT-JEE 1999 Advance Level Q2 Errorless 2. Velocity MCQ
In 1.0 s a particle goes from point A to point B, moving in a semicircle of radius 1.0 m. The magnitude of the average velocity is
A.
3.14 m/s
B.
2.0 m/s
C.
1.0 m/s
D.
Zero
EAMCET (Med.) 1998 Basic Level Q3 Errorless 3. Time of Flight MCQ
A stone is thrown at an angle $\theta$ to the horizontal reaches a maximum height $h$ . The time of flight of the stone is
A.
$\sqrt{(2h\sin\theta)/g}$
B.
$2\sqrt{(2h\sin\theta)/g}$
C.
$2\sqrt{(2h)/g}$
D.
$\sqrt{(2h)/g}$
RPMT 1998 Basic Level Q4 Errorless 8. Angular Displacement MCQ
Angular velocity of wheel is 2 radian/second. Calculate the number of rotation of the wheel in 5 second
A.
$5 / \pi$
B.
$10 / \pi$
C.
$10\pi$
D.
$20\pi$
Manipal 1998 Basic Level Q5 Errorless 9. Angular Velocity MCQ
A point on the rim of a wheel of diameter 400 cm has a velocity of 16 m/sec. The angular velocity of the wheel is
A.
2 rad/sec
B.
4 rad/sec
C.
6 rad/sec
D.
8 rad/sec
MP PET/PMT 1998 Basic Level Q6 Errorless 15. Vertical Looping MCQ
A weightless thread can bear tension up to 3.7 kg wt. A stone of mass 500 gms is tied to it and revolved in a circular path of radius 4m in a vertical plane. If $g = 10 \, m/s^{2}$ , then the maximum angular velocity of the stone will be
A.
4 radians/sec
B.
16 radians/sec
C.
$\sqrt{21}$ radians/sec
D.
2 radians/sec
RPET 1997 Basic Level Q7 Errorless 1. Trajectory MCQ
A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be
A.
Parabolic
B.
Inclined straight line
C.
Vertical straight line
D.
Horizontal straight line
CPMT 1997 Advance Level Q8 Errorless 4. Horizontal Range MCQ
A projectile has a maximum range of 16 km. At the highest point of its motion, it explodes into two equal masses. One mass drops vertically downwards the horizontal distance covered by the other mass from the time of explosion is
A.
8 km
B.
16 km
C.
24 km
D.
32 km
CPMT 1996; JIPMER 2001, 02 Basic Level Q9 Errorless 4. Horizontal Range MCQ
An aeroplane is flying horizontally with a velocity of 600 km/h and at a height of 1960m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is
A.
1200 m
B.
0.33 m
C.
3.33 km
D.
33 km
CPMT 1994 Basic Level Q10 Errorless 12. Centripetal and Centrifugal Force MCQ
A body of mass 4 kg is being rotated with 120 rev. per minute in a horizontal circular path of radius 2m. Its kinetic energy is
A.
2 J
B.
32 J
C.
80 J
D.
1263 J
SCRA 1994 Basic Level Q11 Errorless 14. Bending of Cyclist MCQ
Consider the following statements Assertion (A) : A cyclist always bends inwards while negotiating a curve Reason (R) : By bending he lowers his centre of gravity Of these statements :
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.
IIT-JEE 1992 Advance Level Q12 Errorless 12. Centripetal and Centrifugal Force MCQ
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$ . The force exerted by the liquid at the other end is
A.
$\frac{ML\omega^{2}}{2}$
B.
$ML\omega^{2}$
C.
$\frac{ML\omega^{2}}{4}$
D.
$\frac{ML^{2}\omega^{2}}{2}$
IIT 1977 Advance Level Q13 Errorless 13. Skidding of Vehicle on Level Road MCQ
The driver of a car travelling at velocity v suddenly see a broad wall in front of him at a distance d. He should
A.
Brake sharply
B.
Turn sharply
C.
(a) and (b) both
D.
None of the above
Basic Level Q14 Errorless 1. Trajectory MCQ
At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
A.
Perpendicular to each other
B.
Parallel to each other
C.
Inclined to each other at an angle of $45^{\circ}$
D.
Antiparallel to each other
Basic Level Q15 Errorless 1. Trajectory MCQ
A stone is projected with an initial velocity at an angle to the horizontal. A small piece separates from the stone before the stone reaches its maximum height. Then this piece will
A.
Fall to the ground vertically
B.
Fly side by side with the parent stone along a parabolic path
C.
Fly horizontally initially and will trace a different parabolic path
D.
Lag behind the parent stone increasing the distance from it
Basic Level Q16 Errorless 1. Trajectory MCQ
A particle moves in the $X - Y$ plane according to the law $x = kt$ and $y = kt(1 - \alpha t)$ , where $k$ and $\alpha$ are positive constants and $t$ is time. What is the equation of trajectory of the particle
A.
$y = kx$
B.
$y = x - \frac{\alpha x^2}{k}$
C.
$y = \frac{\alpha x^2}{k}$
D.
$y = \alpha x$
Basic Level Q17 Errorless 1. Trajectory MCQ
The equation of motion of a projectile is $y = 12x - \frac{3}{4}x^{2}$ . Given that $g = 10 ms^{-2}$ , what is the range of the projectile
A.
12.4 m
B.
16 m
C.
30.6 m
D.
36.0 m
Advance Level Q18 Errorless 1. Trajectory MCQ
A particle is moving in a plane with velocity given by $\vec{u} = u_0\hat{i} + (a\omega \cos \alpha t)\hat{j}$ where $\hat{i},\hat{j}$ are unit vectors along $x$ and $y$ axes respectively. The trajectory of the particle if the particle starts from origin at $t = 0$ will be
A.
$y = a\sin \left(\frac{\omega x}{u_0}\right)$
B.
$y = a\cos \left(\frac{\omega x}{u_0}\right)$
C.
$y = \tan x$
D.
$y = \cos tx$
Advance Level Q19 Errorless 1. Trajectory MCQ
A ball is dropped from the top of a tower in a high speed wind. The wind exerts a steady force on the ball. The path followed by the ball will be
A.
Parabola
B.
Circular arc
C.
Elliptical arc
D.
Straight line
Basic Level Q20 Errorless 2. Velocity MCQ
In a projectile motion, the velocity
A.
Is always perpendicular to the acceleration
B.
Is never perpendicular to the acceleration
C.
Is perpendicular to the acceleration for one instant only
D.
Is perpendicular to the acceleration for two instants
Basic Level Q21 Errorless 2. Velocity MCQ
A body of mass m is thrown upwards at an angle $\theta$ with the horizontal with velocity v. While rising up the velocity of the mass after t seconds will be
A.
$\sqrt{(v\cos\theta)^{2}+(v\sin\theta)^{2}}$
B.
$\sqrt{(v\cos\theta-v\sin\theta)^{2}-gt}$
C.
$\sqrt{v^{2}+g^{2}t^{2}-(2v\sin\theta)gt}$
D.
$\sqrt{v^{2}+g^{2}t^{2}-(2v\cos\theta)gt}$
Basic Level Q22 Errorless 2. Velocity MCQ
A boy throws a ball with a velocity $V_{0}$ at an angle $\alpha$ to the horizontal. At the same instant he starts running with uniform velocity to catch the ball before it hits the ground. To achieve this, he should run with a velocity of
A.
$V_{0} \cos \alpha$
B.
$V_{0} \sin \alpha$
C.
$V_{0} \tan \alpha$
D.
$\sqrt{V_{0}^{2} \tan \alpha}$
Basic Level Q23 Errorless 2. Velocity MCQ
From the top of a tower 19.6 m high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of $45^{\circ}$ with the horizontal, then the initial velocity of the ball is
A.
$9.8 \, ms^{-1}$
B.
$4.9 \, ms^{-1}$
C.
$14.7 \, ms^{-1}$
D.
$2.8 \, ms^{-1}$
Basic Level Q24 Errorless 2. Velocity MCQ
When a particle is thrown horizontally, the resultant velocity of the projectile at any time $t$ is given by
A.
$gt$
B.
$\frac{1}{2} gt^2$
C.
$\sqrt{u^2 + g^2t^2}$
D.
$\sqrt{u^2 - g^2t^2}$
Basic Level Q25 Errorless 2. Velocity 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 $(g = 10 \, ms^{-2})$
A.
$2.5 \, ms^{-1}$
B.
$5 \, ms^{-1}$
C.
$10 \, ms^{-1}$
D.
$20 \, ms^{-1}$