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## MCQ (More than One Correct Answer)

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Starting at time t = 0 from the origin with speed 1 ms-1, a particle follows a two-dimensional trajectory in the x-y pla...
JEE Advanced 2020 Paper 2 Offline
The coordinates of a particle moving in a plane are given by x(t) = a cos(pt) and y(t) = b sin(pt) where a, b (&lt; a) a...
IIT-JEE 1999 Screening
A particle of mass m moves on the x-axis as follows: it starts from rest at t = 0 from the point x = 0, and come to rest...
IIT-JEE 1993
A particle is moving eastwards with a velocity of 5 m/s. In 10s the velocity changes to 5 m/s northwards. The average ac...
IIT-JEE 1982

## Numerical

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A ball is thrown from ground at an angle $$\theta$$ with horizontal and with an initial speed u0. For the resulting pro...
JEE Advanced 2019 Paper 2 Offline
A ball is projected from the ground at an angle of $${45^o}$$ with the horizontal surface. It reaches a maximum height o...
JEE Advanced 2018 Paper 2 Offline
A rocket is moving in a gravity free space with a constant acceleration of 2 ms–2 along + x direction (see figure). The ...
JEE Advanced 2014 Paper 1 Offline
Airplanes A and B are flying with constant velocity in the same vertical plane at angles $$30^\circ$$ and $$60^\circ$$...
JEE Advanced 2014 Paper 1 Offline
A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forw...
IIT-JEE 2011 Paper 2 Offline

## MCQ (Single Correct Answer)

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Three vectors $$\overrightarrow P ,\overrightarrow Q$$ and $$\overrightarrow R$$ are shown in the figure. Let $$S$$ b...
JEE Advanced 2017 Paper 2 Offline
Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the...
JEE Advanced 2017 Paper 2 Offline
STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in...
IIT-JEE 2008
A body starts from rest at time t = 0, the acceleration time graph is shown in the figure. The maximum velocity attained...
IIT-JEE 2004 Screening
A particle starts sliding down a frictionless inclined plane. If Sn is the distance traveled by it from time t = n - 1 s...
IIT-JEE 2004 Screening
A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 ...
IIT-JEE 1988
A river is flowing from west to east at a speed of 5 meters per minute. A man on the south bank of the river, capable of...
IIT-JEE 1983

## Subjective

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Two guns, situated on the top of a hill of height 10 m, fire one shot each with the same speed $$5\sqrt 3$$ m s-1 at so...
IIT-JEE 1996
Answer the following giving reason in brief: Is the time variation of position, shown in the figure observed in nature? ...
IIT-JEE 1979
The dispalcement x of particle moving in one direction, under the action of a constant force is related to the time t by...
IIT-JEE 1979
A car accelerates from rest at a constant rate $$\alpha$$ for some time after which it decelerates at a constant rate \$...
IIT-JEE 1978

## True or False

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Two identical trains are moving on rails along the equator on the earth in opposite directions with the same speed. They...
IIT-JEE 1985
A projectile fired from the ground follows a parabolic path. The speed of the projectile is minimum at the top of its pa...
IIT-JEE 1984
Two balls of different masses are thrown vertically upwards with the same speed. They pass through the point of projecti...
IIT-JEE 1983

## Fill in the Blanks

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Four person K, L, M, N are initially at the four corners of a square of side d. Each person now moves with a uniform spe...
IIT-JEE 1984
A particle moves in a circle of radius R. In half the period of revolution its displacement is ________ and distance cov...
IIT-JEE 1983

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