31 Year NEET Previous Year Questions: Motion in a Plane - 1 - NEET MCQ

The angle between the two vectors will be

From a 10 m high building a stone 'A' is dropped, and simultaneously another identical stone 'B' is thrown horizontally with an initial speed of 5 ms^–1. Which one of the following statements is true?[2002]

A body of 3 kg moves in the XY plane under the action of a force given by  . Assuming that the body is at rest at time t = 0, the velocity of the body at t = 3s is [2002]

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces[2003]

A particle moves along a circle of radius  with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is [2003]

If then the value of is 

A stone is tied to a string of length ℓ and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u.
The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is [2004]

If a vector is perpendicular to the vector then the value of α is  [2005]

If the angle between the vectors  the value of the product is equal to [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 perpendicular to AB with velocity v₁. The boy at A starts running simultaneously with velocity v and catches the oth er boy in a time t, where t is [2005]

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 makes 22 revolutions in 44 seconds, what is the magnitude and direction of acceleration of the stone? [2005]

The cir cular motion of a particle with constant speed is [2005]

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds in every circular loop. The average velocity and average speed for each circular loop respectively, is [2006]

For angles of projection of a projectile (45° – θ) and (45° + θ), the horizontal ranges described by the projectile are in the ratio of [2006]

The vectors are such that  The angle between the two vectors is [1991, 1996, 2001, 2006]

A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are . The path of the particle makes with the x-axis an angle of [2007]

 are two vectors and θ is the angle between them, if , the valueof θ is[2007]

Three forces acting on a body are shown in the figure. To have the resultant force only along the y- direction, the magnitude of the minimum additional force needed is: [2008]

A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be: [2008]

A block of mass m is in contact with the cart C as shown in the Figure. [2010]

The coefficient of static friction between the block and the cart is μ . The acceleration α of the cart that will prevent the block from falling satisfies:

Six vectors, have the magnitudes and directions indicated in the figure. Which of the following statements is true? [2010]

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2πs. The acceleration of the particle is [2011]

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 

A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is [2011M]

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectiles is : [2012]

A particle ha s initial velocity and acceleration . The magnitude of velocity after 10 seconds will be : [2012] 

The velocity of a projectile at the initial point A is m/s. It’s velocity (in m/s) at point B is [NEET 2013]