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Unit-II: Kinematics

Part A: 30 Multiple Choice Questions (MCQs) with Answers

Which of the following is a scalar quantity?

 

Displacement

 

Velocity

 

Acceleration

 

Speed

 

Answer:

d) Speed

A body is said to be at rest if:

 

It changes its position

 

It does not change its position with time

 

It moves at constant speed

 

Its velocity is increasing

 

Answer:

b) It does not change its position with time

Which of these graphs represents uniform motion?

 

Curved position-time graph

 

St

raight line inclined position-time graph

 

Horizontal velocity-time graph

 

Exponential position-time graph

 

Answer:

b) Straight line inclined position-time graph

Instantaneous speed is:

 

Total distance/Total time

 

Very large distance/Very large time

 

Speed a

t a particular instant

 

Same as average speed

 

Answer:

c) Speed at a particular instant

When velocity is constant, acceleration is:

 

Maximum

 

Minimum

 

Zero

 

Constant

 

Answer:

c) Zero

Which graph represents constant acceleration?

 

A

straight line

velocity-time graph

 

A horizontal position-time graph

 

A curved velocity-time graph

 

Exponential position-time graph

 

Answer:

a) A straight line velocity-time graph

What is the area under a velo

city-time graph?

 

Speed

 

Distance/Displacement

 

Acceleration

 

Time

 

Answer:

b) Distance/Displacement

A car moves with uniform acceleration. Its velocity after 5 seconds is 20 m/s. What is its acceleration if it started from rest?

 

2 m/s²

 

3 m/s²

 

4 m/s²

 

5 m/s²

 

Answer:

c) 4 m/s²

Which of these is a vector quantity?

 

Speed

 

Distance

 

Displacement

 

Mass

 

Answer:

c) Displacement

The vector product of two vectors is called:

 

Scalar product

 

Cross product

 

Dot product

 

Resultant

 

Answer:

b) Cross product

In projectile motion, the horizontal component of velocity:

 

Increases

 

Decreases

 

Remai

ns constant

 

Becomes zero

 

Answer:

c) Remains constant

Time of flight of a projectile is maximum when angle of projection is:

 

30°

 

45°

 

60°

 

90°

 

Answer:

d) 90°

Which one of the following is not a vector?

 

Velocity

 

Displacement

 

Distance

 

Acceleration

 

Answ

er:

c) Distance

Which of the following is a unit vector?

 

A vector with unit magnitude

 

A vector with unit direction

 

A vector with unit mass

 

A vector with unit distance

 

Answer:

a) A vector with unit magnitude

Dot product of perpendicular vectors is:

 

1

 

Maximum

 

 

 

Undefined

 

Answer:

c) 0

Which of the following is not a valid unit of acceleration?

 

m/s²

 

km/h²

 

m/s

 

cm/s²

 

Answer:

c) m/s

The slope of a position-time graph gives:

 

Acceleration

 

Velocity

 

Distance

 

Time

 

Answer:

b) Velocity

Acceleration is defined as:

 

Rate of change of velocity

 

Rate of change of speed

 

Displacement per time

 

None of these

 

Answer:

a) Rate of change of veloci

ty

Which equation gives displacement in uniformly accelerated motion?

 

Answer:

a)

( s

= ut + at^2 )

Which of the following quantities remains unchanged in projectile motion?

 

Vertical velocity

 

Time of flight

 

Horizontal velocity

 

Vertical displacement

 

Answer:

c) Horizontal velocity

In projectile motion, when is the vertical component of velocity zero?

 

At the point of projection

 

At the maximum height

 

At the point of landing

 

Never

 

Answer:

b) At the maximum height

Range is maximum

when angle of projection is:

 

30°

 

45°

 

60°

 

90°

 

Answer:

b) 45°

The resultant of two perpendicular vectors of magnitude 3 units and 4 units is:

 

5 units

 

7 units

 

1 unit

 

12 units

 

Answer:

a) 5 units

Displacement is zero when:

 

Path is curved

 

Path is straight

 

Initial and final positions are same

 

Speed is constant

 

Answer:

c) Initial and final positions are same

Which of the following is dimensionally same as velocity?

 

Acceleration × Time

 

Force × Time

 

Mass × Time

 

Speed × Time

 

Answer:

a) Acc

eleration × Time

Relative velocity between two cars moving in same direction with equal speeds is:

 

 

 

Sum of their speeds

 

Double the speed

 

Half the speed

 

Answer:

a) 0

If a vector is multiplied by a scalar, the result is:

 

A scalar

 

A vector

 

Zero

 

Undef

ined

 

Answer:

b) A vector

A body is in uniform motion if:

 

Its acceleration is constant

 

Its displacement is zero

 

It covers equal distances in equal intervals of time

 

It moves in circular path

 

Answer:

c) It covers equal distances in equal intervals of tim

e

The direction of projectile motion is:

 

Vertical

 

Horizontal

 

Parabolic

 

Circular

 

Answer:

c) Parabolic

A particle moves in a circle with constant speed. Its acceleration is:

 

Zero

 

Constant in direction

 

Directed towards center

 

Directed tangentially

 

Answer:

c) Directed towards center

Part B: 30 Short Answer Questions (2–3 Marks Each) with Answers

Define scalar and vector quantities with one example each.

 

Answer:

 

Scalars have only magnitude (e.g., speed); vectors have both magnitude and direction (e.g., velocity).

What is instantaneous velocity?

 

Answer:

It is the velocity of a particle at a specific instant of time.

Differentiate between average speed and average v

elocity.

 

Answer:

Average speed = Total distance / Time; Average velocity = Total displacement / Time.

Give the three equations of motion for uniformly accelerated motion.

 

Answer:

 

( v = u +

at )

 

( s = ut + at^2 )

 

( v^2 = u^2 + 2as )

What is the slope of a v

elocity-time graph

?

 

Answer:

Acceleration

Define frame of reference.

 

Answer:

It is a coordinate system with respect to which the position of an object is measured.

What is the significance of the area under a velocity-time graph?

 

Answer:

It represents displ

acement of the object.

What is meant by the resolution of a vector?

 

Answer:

Splitting a vector into its perpendicular components (usually x and y directions).

Give the expression for time of flight in projectile motion.

 

Answer:

 

( T

= )

Give the expression

for horizontal range.

 

Answer:

 

( R

= )

Give the expression for maximum height.

 

Answer:

 

( H

= )

Define relative velocity.

 

Answer:

It is the velocity of one object with respect to another.

What is the value of dot product of two perpendicular vectors?

 

Answ

er:

Zero

Define uniform circular motion.

 

Answer:

Motion of an object in a circular path at constant speed.

What is a unit vector?

 

Answer:

A vector whose magnitude is one.

State the relation between speed, distance and time.

 

Answer:

Speed = Distance / Time

What is the difference between displacement and distance?

 

Answer:

Displacement is vector and depends on initial and final positions; distance is scalar and total path leng

th.

Define average acceleration

.

 

Answer:

Average acceleration = Change in velocity / Total time

Explain motion of a particle under uniform acceleration.

 

Answer:

 

The particle covers unequal distances in equal time intervals; velocity changes at constant rate.

What is a position-time graph?

 

Answer:

A graph showing position of an object as a function of time.

Write the vector form of displacement.

 

Answer:

( = _2 - _

1 )

What is projectile motion?

 

Answer:

Motion under gravity where path followed is a parabola.

What is instantaneous acceleration?

 

Answer:

It is the acceleration at a particular instant of time.

Explain the direction of acceleration in circular motion.

 

Ans

wer:

Always directed towards the center of the circle.

What is meant by kinematics?

 

Answer:

Study of motion of bodies without considering forces.

Define vector addition.

 

Answer:

Combining two or more vectors to get a single vector.

What is vector subtracti

on?

 

Answer:

Adding a vector with the negative of another vector.

What is the physical significance of a slope of position-time graph?

 

Answer:

It gives the velocity of the object.

Differentiate between uniform and non-uniform motion.

 

Answer:

Uniform motion:

constant speed; Non-uniform: variable speed.

What is the unit and dimensional formula of acceleration?

 

Answer:

Unit: m/s²; Dimensional formula: [L T^-2]

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