At t = 0, three particles A, B and C are located at the origin of the coordinate system. Then they start moving simultaneously, A moves with a constant velocity of 3 i ^ (m/s) and B moves under a constant acceleration of 2 k ^ (m/s 2 ) with an initial velocity of 8 j ^ (m/s). Particle C moves with constant velocity v 0 in such a way that B and C collide at t = 4s. Then,

position vector of location where two particles collide is 16 i ^ + 32 k ^

both (v 0 is 8 j ^ + 4 k ^ ) and (Position vector of location where two particles collide is 16 i ^ + 32 k ^ ) are correct

it is not possible that B and C collide with each other for any value of v 0

EASY

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IMPORTANT

Earn 100

Assertion: Whenever a particle is moving with acceleration, velocity of particle increases.

Reason: Acceleration of particle is defined as rate of change of velocity with respect to time.

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Important Questions on Motion in a Plane

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 2

A particle has initial velocity

(2 \hat{i} + 3 \hat{j})

and acceleration

(0.3 \hat{i} + 0.2 \hat{j})

. The magnitude of velocity after 10 seconds will be

MEDIUM

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 3

A particle is moving with a velocity

\vec{v} = K (y \hat{i} + x \hat{j}),

where

K

is a constant.

The general equation for its path is:

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 4

At t = 0, three particles A, B and C are located at the origin of the coordinate system. Then they start moving simultaneously, A moves with a constant velocity of 3 $\hat{i}$ (m/s) and B moves under a constant acceleration of 2 $\hat{k}$ (m/s²) with an initial velocity of 8 $\hat{j}$ (m/s). Particle C moves with constant velocity v₀ in such a way that B and C collide at t = 4s.
Then,

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 5

A particle moves in such a way that its position as a function of time is given by

\vec{r} = \hat{i} + 4 t^{2} \hat{j} + t \hat{k}

, where

r

is in

(m)

and

t

is in

(s)

. Then the trajectory of the particle is

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 6

A particle moves in the

x - y

plane with velocity

v_{x} = 8 t - 2

and

v_{y} = 2

. If it passes through the pointy

x = 14

and

y = 4

t = 2 s

, find the equation (

x - y

relation) of the path

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 7

The trajectory of a projectile near the surface of the earth is given as

y = 2 x - 9 x^{2} .

If it were launched at an angle

θ_{0}

with speed

v_{0}

then

(g = 10 {m s}^{- 2}) :

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 1

Two cars

A a n d B

are travelling in the same direction with velocities

v_{1} a n d v_{2} (v_{1} > v_{2}) .

When the car

A

is at a distance

d

behind the car

B,

the driver of the car

A

applies the brake producing uniform retardation,

a .

There will be no collision when

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 2

The

x

and

y

coordinates of a particle at any time t are given by

x = 2 t + 4 t^{2}

and

y = 5 t

, where x and y are in metre and t in second. The acceleration of the particle at

t = 5 s

is -

Assertion: Whenever a particle is moving with acceleration, velocity of particle increases. Reason: Acceleration of particle is defined as rate of change of velocity with respect to time.

Important Questions on Motion in a Plane

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Assertion: Whenever a particle is moving with acceleration, velocity of particle increases.

Reason: Acceleration of particle is defined as rate of change of velocity with respect to time.