Are these practice questions for Motion In A Plane based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 11 - Science Physics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Motion In A Plane free?

Yes. Every chapter includes free practice questions for Class 11 - Science students to get you started.

What types of questions are included?

The practice set for Motion In A Plane mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Motion In A Plane for full coverage.

How many practice questions are there for Motion In A Plane?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Motion In A Plane Class 11 Physics Practice Questions with Answers

easy

A particle's velocity changes from

\mathbf{v}_1 = (3\hat{\mathbf{i}} + 4\hat{\mathbf{j}}) \text{ m/s}

to

\mathbf{v}_2 = (5\hat{\mathbf{i}} - 2\hat{\mathbf{j}}) \text{ m/s}

. Calculate the change in velocity vector,

\Delta\mathbf{v}

.

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easy

Define uniform circular motion.

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easy

Justify why an object in uniform circular motion is considered to be accelerating, even though its speed is constant. Describe the direction of this acceleration.

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easy

Evaluate under what specific condition the magnitude of the displacement vector of a particle is exactly equal to the path length it has traveled.

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easy

Given two vectors

\mathbf{A} = 2\hat{\mathbf{i}} + 3\hat{\mathbf{j}}

and

\mathbf{B} = -4\hat{\mathbf{i}} + 5\hat{\mathbf{j}}

, calculate their resultant vector

\mathbf{R} = \mathbf{A} + \mathbf{B}

and find its magnitude.

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easy

Define a vector quantity and list two examples mentioned in the text.

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easy

Identify which of the following physical quantities are scalars and which are vectors: volume, acceleration, speed, displacement.

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easy

Define a scalar quantity and provide two examples from the source text.

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easy

A football is kicked with an initial velocity of

25 \text{ m/s}

at an angle of

30^\circ

with the horizontal. Calculate the total time the football remains in the air before hitting the ground again. (Assume

g = 9.8 \text{ m/s}^2

)

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easy

Examine why an object in uniform circular motion is considered to be accelerating, even though its speed is constant.

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easy

Justify why, in projectile motion, the horizontal component of velocity remains constant while the vertical component changes.

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easy

A fellow student suggests adding the mass of an object (a scalar, e.g.,

5 \text{ kg}

) to its velocity vector (e.g.,

10\hat{\mathbf{i}} \text{ m/s}

). Critique this algebraic operation. Is it physically meaningful? Justify your reasoning.

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easy

Contrast two vectors

\mathbf{A}

and

\mathbf{B}

that have the same magnitude but are in opposite directions. Are they equal?

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easy

Define projectile motion.

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medium

A vector is given by

\mathbf{A} = A_x \hat{\mathbf{i}} + A_y \hat{\mathbf{j}}

. Explain the steps to find its magnitude

A

and its direction

\theta

with respect to the positive x-axis.

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medium

A cricket ball is thrown with an initial speed of

30 \text{ m/s}

at an angle of

45^\circ

to the horizontal. Calculate the maximum height reached by the ball. (Use

g = 9.8 \text{ m/s}^2

)

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medium

Design three distinct physical scenarios where a particle's velocity vector

\mathbf{v}

and acceleration vector

\mathbf{a}

are (a) parallel, (b) anti-parallel, and (c) perpendicular. For each case, justify your choice with a brief explanation and a real-world example.

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medium

Evaluate whether the vectors

\mathbf{A} = 3\hat{\mathbf{i}} + 4\hat{\mathbf{j}}

and

\mathbf{B} = 4\hat{\mathbf{i}} - 3\hat{\mathbf{j}}

are perpendicular. Justify your conclusion using the concept of direction or slope.

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medium

A projectile is launched with an initial speed

v_0

at an angle

\theta_0

with the horizontal. A second object is thrown vertically upwards with the same initial speed

v_0

. Evaluate which of the two will reach a greater maximum height. Justify your answer with mathematical derivations.

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medium

Compare the horizontal ranges of two projectiles launched with the same initial speed

v_o

but at two different projection angles,

\theta_1 = 30^\circ

and

\theta_2 = 60^\circ

. Analyze the result and provide a general conclusion.

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medium

Recall the formula for centripetal acceleration,

a_c

, in terms of the object's linear speed

v

and the radius

R

of the circular path.

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medium

Formulate the general equation for the path of a projectile,

y(x)

, and justify why its trajectory is a parabola.

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medium

Recall the equations for the horizontal coordinate (

x

) and vertical coordinate (

y

) of a projectile at time

t

, if it is launched from the origin with an initial velocity

v_o

at an angle

\theta_o

with the horizontal.

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medium

For a projectile launched from the origin, summarize the formulas for (a) the time taken to reach maximum height (

t_m

), (b) the maximum height (

h_m

), and (c) the horizontal range (

R

).

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medium

Critique the statement: 'An object in uniform circular motion has a constant acceleration vector'.

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medium

A student claims that if the magnitude of the resultant of two vectors

\mathbf{A}

and

\mathbf{B}

is equal to the sum of their individual magnitudes, i.e.,

|\mathbf{A} + \mathbf{B}| = |\mathbf{A}| + |\mathbf{B}|

, then the two vectors must be parallel and point in the same direction. Justify this claim mathematically.

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medium

Two forces,

\mathbf{F}_1

of magnitude

10 \text{ N}

and

\mathbf{F}_2

of magnitude

8 \text{ N}

, act on a particle. If the angle between the two forces is

60^\circ

, calculate the magnitude of the resultant force.

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medium

Analyze why a component of a vector can be negative, even though the magnitude of the vector is always positive.

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medium

Propose a physical situation, other than an object's displacement, where the resultant vector is a null vector.

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medium

Explain the head-to-tail graphical method, also known as the triangle method, for adding two vectors

\mathbf{A}

and

\mathbf{B}

.

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medium

A car moves on a circular track of radius

100 \text{ m}

at a constant speed of

72 \text{ km/h}

. Calculate its centripetal acceleration.

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medium

What is a unit vector? Recall the expression for a unit vector

\hat{\mathbf{n}}

in the direction of a given vector

\mathbf{A}

.

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medium

Propose a method to determine the magnitude of the centripetal acceleration of an athlete running at a constant speed on a circular track, using only a measuring tape and a stopwatch. Detail the steps and the final formula.

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medium

A ceiling fan completes 1200 revolutions in one minute. Calculate its angular speed in radians per second.

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medium

Describe the direction of the velocity vector and the acceleration vector for an object in uniform circular motion. Explain if these vectors are constant.

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medium

Calculate the vector that must be added to the vector

\mathbf{A} = 5\hat{\mathbf{i}} - 7\hat{\mathbf{j}}

so that the resultant is a unit vector along the positive y-direction.

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hard

Create and solve a problem to find a vector

\mathbf{C}

in the

x-y

plane, given that the sum of three vectors

\mathbf{A}

,

\mathbf{B}

, and

\mathbf{C}

is a null vector. Let

\mathbf{A}

be a vector of magnitude

10

units along the positive

x

-axis, and

\mathbf{B}

be a vector of magnitude

15

units at an angle of

120^{\circ}

counter-clockwise from the positive

x

-axis.

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hard

Design an experiment to justify Galileo's statement that 'for elevations which exceed or fall short of 45° by equal amounts, the ranges are equal'. Propose the necessary equipment, procedure, and method of analysis.

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hard

An insect moves in a circular groove of radius

12 \text{ cm}

and completes 7 revolutions in

100 \text{ s}

. Identify the physical quantity represented by each of these values and recall the formula for angular speed

\omega

.

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hard

List and explain the commutative and associative laws of vector addition. Also, define a null vector and state one of its properties.

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hard

Formulate a problem involving a particle moving in the

x-y

plane with a constant acceleration. The problem should require finding the trajectory of the particle in the form

y(x)

. Propose a complete solution for the problem you formulated.

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hard

The position of a particle is described by the vector

\mathbf{r}(t) = (3t^2 \hat{\mathbf{i}} + 5t \hat{\mathbf{j}} - 2t^3 \hat{\mathbf{k}}) \text{ m}

. Solve for the velocity vector

\mathbf{v}(t)

and the acceleration vector

\mathbf{a}(t)

. Then, calculate the magnitude of the velocity at

t = 2 \text{ s}

.

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hard

A stone is thrown horizontally with a speed of

20 \text{ m/s}

from the top of a cliff

80 \text{ m}

high. Solve for the horizontal distance from the base of the cliff where the stone strikes the ground. (Neglect air resistance and take

g = 9.8 \text{ m/s}^2

)

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hard

Rain is falling vertically downwards with a speed of

30 \text{ m/s}

. A woman rides a bicycle with a speed of

10 \text{ m/s}

in the east to west direction. Analyze the situation to determine the direction in which she should hold her umbrella to protect herself from the rain.

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hard

Explain the concept of resolving a vector in a two-dimensional plane. If a vector

\mathbf{A}

has magnitude

A

and makes an angle

\theta

with the positive x-axis, recall the expressions for its components

A_x

and

A_y

and write the vector in its component form.

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Motion In A PlaneClass 11 Physics Practice Questions