A nozzle is situated at a distance of 5 . 6 m above the ground level and is pointed up at angle of 45 degrees to the horizontal. The diameter of the nozzle is 1 π cm and the jet of water from the nozzle strikes the ground at a horizontal distance of 14 m . Select the correct statement(s).

At a horizontal distance of 5 m from the initial point, the magnitude of the force on a vertical sheet in the path of the jet is 1 . 25 N .

The speed of the water just before reaching the ground is 10 m · s - 1 .

The initial speed of the water is 1 m · s - 1 .

A nozzle is situated at a distance of 5 . 6 m above the ground level and is pointed up at angle of 45 degrees to the horizontal. The diameter of the nozzle is 1 π cm and the jet of water from the nozzle strikes the ground at a horizontal distance of 14 m . Select the correct statement(s).

At a horizontal distance of 5 m from the initial point, the magnitude of the force on a vertical sheet in the path of the jet is 1 . 25 N .

HARD

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A nozzle is situated at a distance of $5.6 m$ above the ground level and is pointed up at angle of $45$ degrees to the horizontal. The diameter of the nozzle is $\frac{1}{\sqrt{π}} cm$ and the jet of water from the nozzle strikes the ground at a horizontal distance of $14 m$ . Select the correct statement(s).

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Important Questions on Kinematics

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

A stone is projected with velocity

2 \sqrt{g h}

, so that it just clears two walls of equal height

h

, at distance of

2 h

from each other. The time interval of passing between the two walls is

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Physics>Mechanics>Kinematics>Projectile Motion

Two balls are projected at an angle

θ

and

(90 ° - θ)

with respect to the horizontal with the same speed. The ratio of their maximum vertical heights is

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Physics>Mechanics>Kinematics>Projectile Motion

An aeroplane is flying in a horizontal direction with a velocity

u

and at a height of

2000 m

. When it is vertically below a point

A

on the ground a food packet is released from it. The packet strikes the ground at point

B

. If

A B = 3 km

and

g = 10 m s^{- 2}

, then the value of

u

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

A ball is dropped from a height

H

from rest. The ball travels

\frac{H}{2}

in last

1.0 s

. The total time taken by the ball to hit the ground is

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Physics>Mechanics>Kinematics>Projectile Motion

Which of the following graphs represents the speed

v

of a vertical projectile as a function of time

t

EASY

Physics>Mechanics>Kinematics>Projectile Motion

Two projectiles

A

and

B

are projected with the same initial speed.

A

is launched at an angle

ϕ

with the horizontal and

B

at an angle

ϕ

with the vertical. If

A

has a range

R_{1}

and

B

has a range

R_{2}

, then

EASY

Physics>Mechanics>Kinematics>Projectile Motion

At what angle

θ

to the horizontal should an object is projected so that the maximum height reached is equal to the horizontal range?

EASY

Physics>Mechanics>Kinematics>Projectile Motion

A body is projected horizontally from the top of a tower of height

180 m

with a velocity of

20 {ms}^{- 1}

. If acceleration due to gravity is

10 {ms}^{- 2}

then match the following.

List-I		List-II
$(A)$	Velocity of the body after $1$ second $($ in ${ms}^{- 1}$ )	(I)	$5$
$(B)$	Horizontal displacement of the body after $1$ second (in meters)	(ii)	$20$
$(C)$	Vertical displacement of the body after $1$ second (in meters)	(iii)	$10$
$(D)$	Vertical velocity of the body after $1$ second $($ in ${ms}^{- 1}$ )	(iv)	$22.4$

The correct answer is

EASY

Physics>Mechanics>Kinematics>Projectile Motion

A boy is standing on top of a tower of height,

85 m

and throws a ball in the vertically upward direction with a certain speed. If

5.25 s

later he hears the ball hitting the ground, then the speed with which the boy threw the ball is (take

g = 10 m s^{- 2},

the speed of sound in air is

340 m s^{- 1}

)

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

The position of a projectile launched from the origin at t = 0 is given by

\vec{r} = (40 \hat{i} + 50 \hat{j}) m

at t = 2s. If the projectile was launched at an angle

θ

from the horizontal, then

θ

is (take g = 10 ms^-2).

EASY

Physics>Mechanics>Kinematics>Projectile Motion

A man of height

7.33 ft

releases a stone from the slingshot just above his head. If the stone travels in a vertical direction towards the sky with velocity of

10 m s^{- 1}

, then the time it takes to reach the ground is (Assume acceleration due to gravity

g = 10 m s^{- 2}

)

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

A ball is thrown horizontally from a height of

100 m

with an initial speed of

15 m / s

. How far does it travel horizontally in the first

2

seconds?

HARD

Physics>Mechanics>Kinematics>Projectile Motion

Two objects are located at height

10 m

above the ground. At some point of time, the objects are thrown with initial velocity

2 \sqrt{2} m s^{- 1}

at an angle

45 °

and

135 °

with the positive

X

-axis respectively. Assuming

g = 10 m s^{- 2}

, the velocity vectors will be perpendicular to each other at time equal to

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

A projectile is given an initial velocity of

(\hat{i} + \sqrt{3} \hat{j}) m s^{- 1},

where

\hat{i}

is along the ground and

\hat{j}

is along the vertical. Then, the equation of the path of projectile is

[

Take,

g = 10 m s^{- 2}]

EASY

Physics>Mechanics>Kinematics>Projectile Motion

Two towers

A

and

B

, each of height

20 m

are situated a distance

200 m

apart. A body thrown horizontally from the top of the tower A with a velocity

20 {ms}^{- 1}

towards the tower

B

hits the ground at point

P

and another body thrown horizontally from the top of tower

B

with a velocity

30 {ms}^{- 1}

towards the tower A hits the ground at point

Q

. If a car starting from rest from

P

reaches

Q

10

seconds, the acceleration of the car is _________

(

Acceleration due to gravity

= 10 {ms}^{- 2})

HARD

Physics>Mechanics>Kinematics>Projectile Motion

A projectile thrown with an initial velocity of $10 m s^{- 1}$ at an angle $α$ with the horizontal, has a range of $5 m .$ Taking $g = 10 m s^{- 2}$ and neglecting air resistance, what will be the estimated value of $α ?$

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

Two long parallel plates $A$ and $B$ are separated by a distance of $4 cm$ with an electric field of $45.5 V m^{- 1}$ between the plates directed normally from plate $A$ to plate $B,$ as shown in the figure. An electron is projected from plate $A$ with velocity $v$ at an angle of $30 °$ with the surface of plate $A$ . The maximum value of $v$ so that the electron does not hit plate $B$ is
$($ Assume gravity free space, charge of electron $= 1.6 \times 10^{- 19} C$ and mass of electron $= 9.1 \times 10^{- 31} kg)$

Question Image

HARD

Physics>Mechanics>Kinematics>Projectile Motion

A plane is inclined at an angle

α = 30 °

with respect to the horizontal. A particle is projected with a speed

u = 2 m s^{- 1}

, from the base of the plane, making an angle

θ = 15 °

with respect to the plane as shown in the figure. The distance from the base, at which the particle hits the plane is close to:
(Take

g = 10 m s^{- 2}

)

EASY

Physics>Mechanics>Kinematics>Projectile Motion

A projectile is given an initial velocity of

(\hat{i} + 2 \hat{j}) m s^{- 1}

, where

\hat{i}

is along the ground and

\hat{j}

is along the vertically upward direction. If

g = 10 m s^{- 2}

, the equation of its trajectory is :

MEDIUM

Physics>Mechanics>Kinematics>Projectile Motion

When an object is shot from the bottom of a long smooth inclined plane kept at an angle

60 °

with horizontal, it can travel a distance

x_{1}

along the plane. But, when the inclination is decreased to

30 °

and the same object is shot with the same velocity, it can travel

x_{2}

distance. Then

x_{1} : x_{2}

will be

A nozzle is situated at a distance of 5.6m above the ground level and is pointed up at angle of 45 degrees to the horizontal. The diameter of the nozzle is 1πcm and the jet of water from the nozzle strikes the ground at a horizontal distance of 14m. Select the correct statement(s).

Important Questions on Kinematics

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