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NEET Exam  >  NEET Test  >  Physics Class 11  >  31 Year NEET Previous Year Questions: Motion in a Plane - 1 - NEET MCQ

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


MCQ Practice Test & Solutions: 31 Year NEET Previous Year Questions: Motion in a Plane - 1 (31 Questions)

You can prepare effectively for NEET Physics Class 11 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "31 Year NEET Previous Year Questions: Motion in a Plane - 1". These 31 questions have been designed by the experts with the latest curriculum of NEET 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 60 minutes
  • - Number of Questions: 31

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31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 1
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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 minutes. The velocity of the river water in km/hr is [1998, 2000]

Detailed Solution: Question 1

Speed along the shortest path

 4 km/hr

Speed of water

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 2
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A child is swinging a swing. Min imum and maximum heights of swing from earth’s surface are 0.75 m and 2m respectively. The maximum velocity of this swing is [2001]

Detailed Solution: Question 2

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31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 3
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Two particles of mass M and m are moving in a circle of radii R and r. If their time-periods are same, what will be the ratio of their linear velocities? [2001]

Detailed Solution: Question 3

Linear velocity v = rω

[ω is same in both cases because time period is same]

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 4
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The angle between the two vectors will be

Detailed Solution: Question 4

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 5
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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]

Detailed Solution: Question 5

h and g are same for both the balls, so time of fall ‘t’ will also be the same for both of them (h is vertical height]

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 6
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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]

Detailed Solution: Question 6

Given:

  • Mass of the body, m = 3 kg
  • Force acting on the body, F = (6t2 i + 4t j) N
  • Initial velocity at t = 0, v(0) = 0 (body is at rest)
  • Find velocity at t = 3 s

Step 1: Calculate acceleration

Using Newton's second law, F = m a, acceleration a is:

a = F / m = (6t2 i + 4t j) / 3 = 2t2 i + (4/3) t j

Step 2: Express acceleration as the derivative of velocity

a = dv/dt = 2t2 i + (4/3) t j

Step 3: Integrate acceleration to get velocity

Since the body starts from rest:

v = ∫ a dt = ∫ (2t2 i + (4/3) t j) dt = ∫ 2t2 dt i + ∫ (4/3) t dt j

Integrate each term:

  • ∫ 2t2 dt = (2)(t3/3) = (2/3) t3
  • ∫ (4/3) t dt = (4/3)(t2/2) = (2/3) t2

Therefore, velocity as a function of time is:

v = (2/3) t3 i + (2/3) t2 j + C

Since v(0) = 0, constant of integration C = 0.

Step 4: Calculate velocity at t = 3 s

v(3) = (2/3) (3)3 i + (2/3) (3)2 j = (2/3)(27) i + (2/3)(9) j = 18 i + 6 j

Final answer:
Velocity at t = 3 s is 18 i + 6 j.

This corresponds to option C.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 7
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The vector sum of two forces is perpendicular to their vector differences. In that case, the forces[2003]

Detailed Solution: Question 7

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 8
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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]

Detailed Solution: Question 8

Circumference

Distance travelled in 2 revolutions  = 2 × 40 = 80 m
Initial velocity = u = 0
Final velocity v = 80m/sec
Applying the formula, v2 = u2 + 2as
(80)2 = 02 + 2 × a × 80 ⇒ a = 40 m/sec2

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 9
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If then the value of is 

Detailed Solution: Question 9

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 10
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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]

Detailed Solution: Question 10

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 11
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If a vector is perpendicular to the vector then the value of α is  [2005]

Detailed Solution: Question 11

For two vectors to be perpendicular to each other

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 12
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If the angle between the vectors  the value of the product is equal to [2005]

Detailed Solution: Question 12

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 13
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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 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]

Detailed Solution: Question 13

Velocity of A relative to B is given by

By taking x-components of equation (1), we get

By taking Y-components of equation (1), we get

.....(3)

Time taken by boy at A to catch the boy at B is given by

[From equation (1)]

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 14
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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 makes 22 revolutions in 44 seconds, what is the magnitude and direction of acceleration of the stone? [2005]

Detailed Solution: Question 14

and direction along the radius towards the centre.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 15
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The cir cular motion of a particle with constant speed is [2005]

Detailed Solution: Question 15

In circular motion of a particle with constant speed,  particle repeats its motion after a regular interval of time but does not oscillate about a fixed point. So, motion of particle is periodic but not simple harmonic.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 16
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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]

Detailed Solution: Question 16

Distance covered in one circular loop = 2πr = 2 × 3.14 × 100 = 628 m

Speed 

Displacement in one circular loop = 0

Velocity 

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 17
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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]

Detailed Solution: Question 17

(45º – θ) & (45º + θ) are complementary angles as 45º – θ + 45º + θ = 90º. We know that if angle of projection of two projectiles make complementary angles, their ranges are equal.
In this case also, the range will be same. So the ratio is 1 : 1.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 18
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The vectors are such that  The angle between the two vectors is [1991, 1996, 2001, 2006]

Detailed Solution: Question 18

So, angle between A & B is 90º.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 19
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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]

Detailed Solution: Question 19

Let θ be the angle which the particle makes with x axis.
From figure, 

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 20
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 are two vectors and θ is the angle between them, if , the valueof θ is[2007]

Detailed Solution: Question 20

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 21
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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]

Detailed Solution: Question 21

Th e componen ts of 1N and 2N forces along + x axis = 1 cos60° + 2 sin30°

The component of 4 N force along –x-axis

Therefore, if a force of 0.5N is applied along + x-axis, the resultant force along x-axis will become zero and the resultant force will be obtained only along y-axis.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 22
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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]

Detailed Solution: Question 22

The magnitude of the resultant velocity at the point of projection and the landing point is same.

Clearly, change in momentum along horizontal (i.e along x-axis) = mvcosθ – mv cosθ = 0
Change in momentum along vertical (i.e. along y–axis) = mv sinθ – (–mv sinθ) = 2 mvsinθ = 2mv × sin 45°

Hence, resultant change in momentum

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 23
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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:

Detailed Solution: Question 23

Forces acting on the block are as shown in the fig. Normal reaction N is  provided by the force mα due to acceleration α

∴ N = mα For the block not to fall, frictional force,

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 24
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Six vectors, have the magnitudes and directions indicated in the figure. Which of the following statements is true? [2010]

Detailed Solution: Question 24

Using the law of vector addition, is as shown in the fig.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 25
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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]

Detailed Solution: Question 25

Centripetal acceleration ac = ω2r

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 26
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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 

Detailed Solution: Question 26

For maximum range, the angle of projection, θ = 45°.

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 27
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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]

Detailed Solution: Question 27

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 28
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The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectiles is : [2012]

Detailed Solution: Question 28

Horizontal range

....(1)

Maximum height

....(2)

According to the problem   R = H

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 29
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A particle ha s initial velocity and acceleration . The magnitude of velocity after 10 seconds will be : [2012] 

Detailed Solution: Question 29

31 Year NEET Previous Year Questions: Motion in a Plane - 1 - Question 30
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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]

Detailed Solution: Question 30

At point B the direction of velocity component of the projectile along Y - axis reverses.

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This test contains 31 MCQs on 31 Year NEET Previous Year Questions: Motion in a Plane - 1 with detailed solutions for each question. It is part of the Physics Class 11 course on EduRev, designed to align with the current NEET syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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