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## Motion in a Plane

### Physics

#### Previous Years Questions

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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
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
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
A particle moving with velocity $$\overrightarrow V$$ is acted by three forces shown by the vector triangle PQR. The v...
NEET 2019
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
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
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
A particle moves so that its position vector is given by $$\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omeg... NEET 2016 Phase 1 If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between the... NEET 2016 Phase 1 The positions vector of a particle$$\overrightarrow R $$as a function of time is given by$$\overrightarrow R $$= 4si... AIPMT 2015 A ship A is moving Westwards with a speed of 10 km h$$-$$1 and a ship B 100 km South of A, is moving Northwards with a s... AIPMT 2015 Cancelled Paper If vectors$$\overrightarrow A = \cos \omega t\widehat i + \sin \omega t\widehat j$$and$$\overrightarrow B = \cos {{...
AIPMT 2015
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
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
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
Vectors $$\overrightarrow A ,\overrightarrow B$$ and $$\overrightarrow C$$ are such that $$\overrightarrow A .\overrig... NEET 2013 (Karnataka) A particle has initial velocity$$\left( {2\overrightarrow i + 3\overrightarrow j } \right)$$and acceleration$$\left(...
AIPMT 2012 Prelims
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is
AIPMT 2012 Prelims
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
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
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
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
Six vectors, $$\overrightarrow a$$ through $$\overrightarrow f$$ have the magnitudes and directions indicated in the f...
AIPMT 2010 Prelims
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
A particle has initial velocity $$\left( {3\widehat i + 4\widehat j} \right)$$ and has acceleration $$\left( {0.4\wideha... AIPMT 2010 Prelims The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is AIPMT 2010 Mains A particle shows distance - time curve as given in this figure. The maximum instaneous velocity of the particle is aroun... AIPMT 2008$$\overrightarrow A $$and$$\overrightarrow B $$are two vectors and$$\theta $$is the angle between them, if$$\left...
AIPMT 2007
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
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
The vectors $$\overrightarrow A$$ and $$\overrightarrow B$$ are such that $$\left| {\overrightarrow A + \overrightar... AIPMT 2006 For angles of projection of a projectile at angle (45o$$-\theta $$) and (45o +$$\theta $$), the horizontal range ... AIPMT 2006 If a vector$$2\widehat i + 3\widehat j + 8\widehat k$$is perpendicular to the vector$$4\widehat j + 4\widehat i + \al...
AIPMT 2005
If the angle between the vectors $$\overrightarrow A$$ and $$\overrightarrow B$$ is $$\theta$$, the value of the pro...
AIPMT 2005
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
If $$\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \overrightarrow A .\overrightarrow B$$ the...
AIPMT 2004
A particle moves along a circle of radius $$\left( {{{20} \over \pi }} \right)$$ m with constants tangential acceleratio...
AIPMT 2003
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
AIPMT 2003
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
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
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
If \left| {\overrightarrow A + \overrightarrow B } \right| = \left| {\overrightarrow A } \right| + \left| {\overright...
AIPMT 2001
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
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
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

## 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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