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Motion In Two And Three Dimensions
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Motion In Two And Three Dimensions
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A projectile is thrown with velocity v making an angle q with thehorizontal.
It just crosses the tops of two poles,each of height h, after 1 second and 3 second respectively h is
3g / 2
g / 2
Which of the following does not affect the maximum height attained by the projectile
Magnitude of initial velocity
Acceleration of the projectile
Angle of projection
Mass of the projectile
A heavy stone is thrown from a cliff of height h in a givendirection.
The speed with which it hits the ground
(air resistance may be neglected)
A and B both are correct
must be larger than the speed of projection
must be independent of the speed of projection
must depend on the speed of projection
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 theincline.
Then, the angle of inclination of the incline is
When the range of a projectile on an inclined plane is maximum then
the focus of the path is on the plane
the focus of the path is above the plane
the focus of the path lies at any place
the focus of the path is below the plane
A number of particles are projected from a given point with same velocity in different directions in the same verticalplane.
At any instant, they will lie on
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
increases by 11%
decreases by 9%
decreases by 11%
increases by 9%
A hunter takes an aim at a monkey sitting on a tree and fires abullet.
Just when the bullet leaves the barrel of the gun, it so happens that the monkey begins to fallfreely.
The bullet will
go below the monkey
may or may not hit the monkey. It will depend upon the velocity of the bullet
hit the monkey
go above the monkey
In the case of an oblique projectile, the velocity is perpendicular to acceleration
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
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
Which of the following is the essential characteristic of a projectile
Initial velocity inclined to the horizontal
None of the above
Constant acceleration perpendicular to the velocity
Zero velocity at the highest point
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
With what minimum speed must a particle be projected from origin so that it is able to pass through a given point
An object is dropped through the window of a fast runningtrain.
the object follows an elliptical path
to a man standing near the track, path of object will appear to be part of parabola
the object moves straight horizontally
the object falls down vertically
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
h / 4
h / 2
A passenger traveling in a train moving with constant velocity drops a stone from thewindow.
To the passenger the path of projectile will appear to be
arc of a circle
Two stones are thrown up simultaneously from the edge of a cliff with initial speeds v and 2
v. The relative position of the second stone with respect to first varies with time till both the stones strike the ground as
first linearly then parabolically
first parabolically then linearly
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
If air resistance is ignored, then the horizontal motion of the oblique projectile takes place at
uniform velocity .
A stone is projected with a velocity of 10 m/s at an angle of 30degree with thehorizontal.
It will hit the ground after time
A piece of marble is projected from earths surface with velocity of 50 m/s. 2 s later, it just clears a wall 5 mhigh.
What is the angle of projection
NONE OF THESE
A ball is thrown at an angle ? with thehorizontal.
Its horizontal range is equal to its maximumheight.
This is possible when tan ? = �
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
Which of the following is the largest, when the height attained by the projectile is the greatest
None of the above
Angle of projectile with the vertical
Time of flight
An oblique projectile has the smallest speed on its trajectory when
it is at the highest point
it is at the point of projection
the horizontal distance traveled by it is one-eight of the maximum height.
it hits the ground
A man can thrown a stone 100 maway.
The maximum height to which he can throw vertically is
Two bullets are fired horizontally with different velocities from the sameheight.
Which will reach the ground first
It cannot be predicted
Both will reach simultaneously
A ball of mass M is thrown verticallyupwards.
Another ball of mass 2M is thrown at an angle ? tovertical.
Both of them stay in air for the same period of time, the heights attained by the two are in the ratio
1: cos ?
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