IIT JEE/IIT JEE Motion In Two And Three Dimensions part1 Sample Test,Sample questions

Question:
1.If the air resistance causes a vertical retardation of 10% of value of acceleration due to gravity then the time of flight of an oblique projectile will be decreased by nearly

1.6%

2.7%

3.8%

4.9%


Question:
3.Which of the following does not affect the maximum height attained by the projectile?

1.Magnitude of initial velocity

2.Acceleration of the projectile

3.Angle of projection

4.Mass of the projectile


Question:
A ball is projected upwards Its acceleration at the highest point is

1.infinite

2.zero

3.directed upwards

4.directed downwards


Question:
A ball is thrown at an angle ? with the horizontal. Its horizontal range is equal to its maximum height. This is possible when tan ? = ?

1.0.5

2.1

3.2

4.4


Question:
A ball of mass M is thrown vertically upwards Another ball of mass 2M is thrown at an angle ? to vertical Both of them stay in air for the same period of time the heights attained by the two are in the ratio:

1.1:02

2.2:01

3.1:01

4.1:cos?


Question:
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 about:

1.2.5 m

2.5 m

3.7.5 m

4.10 m


Question:
A body is projected with velocity u at projection angle ? has horizontal displacement R. For the same velocity and projection angle its range on the moon?s surface will be:

1.36R

2.R/36

3.R/16

4.6R


Question:
A bullet fired from gun at sea level rises to a maximum height 10m When fired at a ship 40 m away the muzzle velocity should be:

1.20 m/s

2.15 m/s

3.16 m/s

4.none of these


Question:
A bullet is fired horizontally with a velocity of 200 m/s If acceleration due to gravity is 10 m/second square in first second it will fall through a height of:

1.5m

2.10m

3.20m

4.200m


Question:
A gun is aimed at a horizontal target. It takes 1/2 s for the bullet to reach the target. The bullet hits the target x metre below the aim. Then x is equal to:

1.9.8/4 m

2.9.8/8 m

3.9.8 m

4.19.6 m


Question:
A heavy and a lighter body are dropped from the top of a tower Which will reach the ground first?

1.Lighter one

2.Heavier one

3.Both will reach simultaneously

4.Cannot be predicted


Question:
A heavy stone is thrown from a cliff of height h in a given direction. The speed with which it hits the ground (air resistance may be neglected):

1.must depend on the speed of projection

2.must be larger than the speed of projection

3.must be independent of the speed of projection

4.A and B both are correct


Question:
A hunter takes an aim at a monkey sitting on a tree and fires a bullet. Just when the bullet leaves the barrel of the gun it so happens that the monkey begins to fall freely. The bullet will

1.go above the monkey

2.go below the monkey

3.may or may not hit the monkey. It will depend upon the velocity of the bullet

4.hit the monkey


Question:
A man can thrown a stone 100 m away The maximum height to which he can throw vertically is

1.200m

2.100m

3.50m

4.25m


Question:
A number of particles are projected from a given point with same velocity in different directions in the same vertical plane. At any instant they will lie on:

1.parabola

2.circle

3.hyperbola

4.rectangle


Question:
A particle is projected from horizontal making an angle 60 degree with initial velocity 40 m/s The time taken by the particle to make angle 45 degree from horizontal is:

1.15 s

2.2.0 s

3.20 s

4.1.5 s


Question:
A particle is projected with a velocity of 30 m/s at an angle of 30 degree to an inclined plane of inclination 30 degree to the horizontal. The particle hits the inclined plane at an angle of 30 degree. The time of impact is:

1.2.65 s

2.15.3 s

3.1.0 s

4.12.0 s


Question:
A passenger traveling in a train moving with constant velocity drops a stone from the window. To the passenger the path of projectile will appear to be:

1.straight line

2.parabola

3.arc of a circle

4.elliptical


Question:
A piece of marble is projected from earths surface with velocity of 50 m/s. 2 s later it just clears a wall 5 m high. What is the angle of projection?

1.45 degree

2.30 degree

3.60 degree

4.None of these


Question:
A projectile is projected with kinetic energy of 800 J. If it has the maximum possible horizontal range then its kinetic energy at the highest point will be

1.800 J

2.400 J

3.200 J

4.100 J


Question:
A projectile is thrown into space so as to have maximum possible range of 400 m. Taking the point of projection as the origin the co-ordinance of the point where the velocity of the projectile is minimum is:

1.(400 100)

2.(200 100)

3.(400 200)

4.(200 200)


Question:
A projectile is thrown with velocity v making an angle q with the horizontal. It just crosses the tops of two poleseach of height h after 1 second and 3 second respectively h is

1.g/2

2.g

3.3g/2

4.2g


Question:
A projectile is thrown with velocity v making an angle q with the horizontal. It just crosses the tops of two poleseach of height h after 1 second and 3 second respectively maximum height attained by the projectile is

1.g

2.2g

3.3g

4.4g


Question:
A projectile of mass 2 kg has velocities 3 m/s and 4 m/s at two points during its flight in the uniform gravitational field of the earth If these two velocities are perpendicular to each other then the minimum kinetic energy of the particle during its flight is:

1.6.32 J

2.8.40 J

3.16.32 J

4.5.76 J


Question:
A stone is projected upwards and it returns to ground on a parabolic path Which of the following remains constant?

1.Speed of the ball

2.Horizontal component of velocity

3.Vertical component of velocity

4.None of the above


Question:
A stone is projected with a velocity of 10 m/s at an angle of 30degree with the horizontal. It will hit the ground after time:

1.3 s

2.2 s

3.1.5 s

4.1 s


Question:
An aeroplane flying horizontally with speed 90 km/h releases a bomb at a height of 78.4 m from the ground when will the bomb strike the ground?

1.8s

2.6s

3.4s

4.10s


Question:
An aeroplane is flying horizontally with velocity 150 m/s at a height 100 m from the ground. How long must the distance from the plane to target be if a bomb is released from the plane to hit the target?

1.67m

2.335m

3.1.34m

4.None


Question:
An object is dropped through the window of a fast running train. Then:

1.the object falls down vertically

2.the object moves straight horizontally

3.the object follows an elliptical path

4.to a man standing near the track path of object will appear to be part of parabola


Question:
An oblique projectile has the smallest speed on its trajectory when

1.it is at the highest point

2.it is at the point of projection

3.it hits the ground

4.the horizontal distance traveled by it is one-eight of the maximum height.


Question:
At the top of the trajectory of a projectile the directions of its velocity and acceleration are:

1.parallel to each other

2.inclined to each other at an angle of 45 degree

3.antiparallel to each other

4.perpendicular to each other


Question:
For a given velocity of projection from a point on the inclined plane the maximum range down the place is three times the maximum range up the incline. Then the angle of inclination of the incline is:

1.30 degree

2.45 degree

3.60 degree

4.90 degree


Question:
For the same horizontal range in how many projections can an object be projected?

1.4

2.3

3.2

4.1


Question:
If a number of particles are projected from the same point in the same plane so as to describe equal parabolas then the vertices of their path lie on a:

1.parabola

2.circle

3.square

4.rectangle


Question:
If air resistance and air buoyancy are to be ignored then which of the following factors determines the time of flight of the projectile ?

1.initial velocity

2.horizontal component of initial velocity

3.vertical component of initial velocity

4.horizontal component of acceleration.


Question:
If air resistance is ignored then the horizontal motion of the oblique projectile takes place at

1.uniform acceleration

2.variable acceleration

3.uniform retardation

4.uniform velocity .


Question:
If retardation produced by air resistance to the projectile is one-tenth of acceleration due to gravity the time to return from the maximum height:

1.increases by 9%

2.decreases by 9%

3.increases by 11%

4.decreases by 11%


Question:
If the height attained by a projectile is the greatest then which of the following is the maximum ?

1.Horizontal range

2.Angle of projection with the vertical

3.Force of gravity

4.Time of flight


Question:
If the velocity of projection of a projectile is trebled then its maximum range will be

1.quadrupled

2.nine times

3.six times

4.eight times


Question:
In case of a projectile what is the angle between the instantaneous velocity and acceleration at the highest point?

1.zero

2.45 degree

3.90 degree

4.180 degree


Question:
In projectile motion the modulus of rate of change of speed:

1.is constant

2.first increases then decreases

3.first decreases then increases

4.none of the above


Question:
In the above problem the height of the point of impact from the horizontal plane passing through the point of projection is:

1.17m

2.12m

3.34.44m

4.12.3m


Question:
In the case of an oblique projectile the velocity is perpendicular to acceleration

1.onece only

2.twice

3.thrice

4.four time


Question:
The benches of a gallery in a cricket stadium are 1 m high and 1 m wide A batsman strikes the ball at a level 1 m about the ground and hits a ball The ball starts at 35 m/s at an angle of 53 degree with the horizontal The benches are perpendicular to the plane of motion and the first bench is 110 m from the batsman On which bench will the ball hit?

1.4

2.5

3.6

4.3


Question:
The greatest height to which a man can throw a ball is h. What is the greatest distance to which he can throw the ball ?

1.h / 4

2.h / 2

3.h

4.2h


Question:
The range of projectile projected at an angle 15 degree is 10v3 m If it is fired with the same speed at angle of 30 degree its range will be:

1.60 m

2.45m

3.30m

4.15m


Question:
Two projectiles are fired at different angles with the same magnitude of velocity such that they have the same range. At what angles they might have been projected?

1.10 degree and 50 degree

2.25 degree and 65 degree

3.35 degree and 75 degree

4.None of these


Question:
Two stones are thrown up simultaneously from the edge of a cliff with initial speeds v and 2v. The relative position of the second stone with respect to first varies with time till both the stones strike the ground as:

1.linearly

2.first linearly then parabolically

3.parabolically

4.first parabolically then linearly


Question:
When the range of a projectile on an inclined plane is maximum then:

1.the focus of the path is on the plane

2.the focus of the path is below the plane

3.the focus of the path is above the plane

4.the focus of the path lies at any place


Question:
Which of the following is not a projectile?

1.A bullet fired from the gun

2.A rocket fired into space

3.A ball thrown upwards

4.A stone thrown horizontally from the top of the tower


Question:
Which of the following is the essential characteristic of a projectile?

1.Initial velocity inclined to the horizontal

2.Zero velocity at the highest point

3.Constant acceleration perpendicular to the velocity

4.None of these


Question:
Which of the following is the largest when the height attained by the projectile is the greatest?

1.Range

2.Time of flight

3.Angle of projectile with the vertical

4.None of the above


Question:
With what minimum speed must a particle be projected from origin so that it is able to pass through a given point (30m 40m)?

1.60 m/s

2.30 m/s

3.50 m/s

4.40 m/s


Question:
wo bullets are fired horizontally with different velocities from the same height. Which will reach the ground first?

1.Slower one

2.Faster one

3.Both will reach simultaneously

4.It cannot be predicted


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