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Motion in a Plane
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Previous Years Questions
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MCQ (Single Correct Answer)
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A ball is projected with a velocity, 10 ms$$-$$1, at an angle of 60$$^\circ$$ with the vertical direction. Its speed at ...
NEET 2022
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A car starts from rest and accelerates at 5m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in th...
NEET 2021
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A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this partic...
NEET 2021
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A particle moving with velocity $$\overrightarrow V $$ is acted by three forces shown by the vector triangle PQR. The v...
NEET 2019
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When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60o with horizontal, it can trav...
NEET 2019
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The x and y coordinates of the particle at any time are x = 5t $$-$$ 2t2 and y = 10t respectively, where x and y are in...
NEET 2017
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In the given figure, a = 15 m s$$-$$2 represents the total acceleration of particle moving in the clockwise direction in...
NEET 2016 Phase 2
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A particle moves so that its position vector is given by $$\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omeg...
NEET 2016 Phase 1
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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between the...
NEET 2016 Phase 1
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The positions vector of a particle $$\overrightarrow R $$ as a function of time is given by $$\overrightarrow R $$ = 4si...
AIPMT 2015
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A ship A is moving Westwards with a speed of 10 km h$$-$$1 and a ship B 100 km South of A, is moving Northwards with a s...
AIPMT 2015 Cancelled Paper
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If vectors $$\overrightarrow A = \cos \omega t\widehat i + \sin \omega t\widehat j$$ and $$\overrightarrow B = \cos {{...
AIPMT 2015
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A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s ...
AIPMT 2014
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A projectile is fired from the surface of the earth with a velocity of 5 m s$$-$$1 and angle $$\theta $$ with the hor...
AIPMT 2014
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The velocity of a projectile at the initial point A is $$\left( {2\widehat i + 3\widehat j} \right)$$ m/s. It's velocity...
NEET 2013
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Vectors $$\overrightarrow A ,\overrightarrow B $$ and $$\overrightarrow C $$ are such that $$\overrightarrow A .\overrig...
NEET 2013 (Karnataka)
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A particle has initial velocity $$\left( {2\overrightarrow i + 3\overrightarrow j } \right)$$ and acceleration $$\left(...
AIPMT 2012 Prelims
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The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is
AIPMT 2012 Prelims
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A projectile is fired at an angle of 45o with the horizontal. Elevation angle of the projectile at its highest point as ...
AIPMT 2011 Mains
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A body is moving with velocity 30 m/s towards east . After 10 seconds its velocity becomes 40 m/s towards north. The a...
AIPMT 2011 Prelims
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A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is ...
AIPMT 2011 Prelims
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A particle moves in a circle of radius 5 cm with constant speed and time period 0.2$$\pi $$ s. The acceleration of the p...
AIPMT 2011 Prelims
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Six vectors, $$\overrightarrow a $$ through $$\overrightarrow f $$ have the magnitudes and directions indicated in the f...
AIPMT 2010 Prelims
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A particle moves in x-y plane according to rule x = asin$$\omega $$t and y = acos$$\omega $$t. The particle follows
AIPMT 2010 Mains
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A particle has initial velocity $$\left( {3\widehat i + 4\widehat j} \right)$$ and has acceleration $$\left( {0.4\wideha...
AIPMT 2010 Prelims
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The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
AIPMT 2010 Mains
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A particle shows distance - time curve as given in this figure. The maximum instaneous velocity of the particle is aroun...
AIPMT 2008
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$$\overrightarrow A $$ and $$\overrightarrow B $$ are two vectors and $$\theta $$ is the angle between them, if $$\left...
AIPMT 2007
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A particle of mass m is projected with velocity v making an angle of 45o with the horizontal. When the particle lands on...
AIPMT 2008
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A particle starting from the origin (0, 0) moves in a straight line in the (x, y) planes. Its coordinates at a later tim...
AIPMT 2007
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The vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ are such that $$\left| {\overrightarrow A + \overrightar...
AIPMT 2006
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For angles of projection of a projectile at angle (45o $$-$$ $$\theta $$) and (45o + $$\theta $$), the horizontal range ...
AIPMT 2006
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If a vector $$2\widehat i + 3\widehat j + 8\widehat k$$ is perpendicular to the vector $$4\widehat j + 4\widehat i + \al...
AIPMT 2005
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If the angle between the vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ is $$\theta $$, the value of the pro...
AIPMT 2005
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Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpen...
AIPMT 2005
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If $$\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \overrightarrow A .\overrightarrow B $$ the...
AIPMT 2004
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A particle moves along a circle of radius $$\left( {{{20} \over \pi }} \right)$$ m with constants tangential acceleratio...
AIPMT 2003
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The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
AIPMT 2003
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An object of mass 3 kg is at rest. Now a force of $$\overrightarrow F $$ = 6t2 $$\widehat i$$ + 4t $$\widehat j$$ is app...
AIPMT 2002
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A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5/sec fr...
AIPMT 2002
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Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same th...
AIPMT 2001
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If $$\left| {\overrightarrow A + \overrightarrow B } \right| = \left| {\overrightarrow A } \right| + \left| {\overright...
AIPMT 2001
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A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both ...
AIPMT 2000
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Two projectiles of same mass and with same velocity are thrown at an angle 60o and 30o with the horizontal, then which w...
AIPMT 2000
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The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river in shortest time 15 min...
AIPMT 2000
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MCQ (More than One Correct Answer)
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A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone...
AIPMT 2005
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