EASY

Earn 100

A bomb is dropped from an aeroplane flying horizontally with a velocity $720 kmph$ at an altitude of $980 m .$ The bomb will hit the ground after a time:

50% studentsanswered this correctly

Important Questions on Motion in a Plane

MEDIUM

Physics>Mechanics>Motion in a Plane>Projectile Motion

A helicopter is flying horizontally with a speed

v

at an altitude

h

has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped ?

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

A mouse jumps off from the

15^{th}

floor of high-rise building and lands

12 m

from the building. Assume that each floor is of

3 m

height. The horizontal speed with which the mouse jumps is closest to :

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

Two posts of heights $20 m$ and $10 m$ are $60 m$ apart, as shown in the figure. Foodgrains are continuously distributed between the two posts. A crow sitting on top of the taller post wants to pick up a grain and sit on the other post. What should be the distance of the grain it picks from the bottom of the taller post to minimise the total flight length?

Question Image

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

Two bullets are fired horizontally with different velocities from the same height. Which one will reach the ground first?

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

Two particles are simultaneously projected in the horizontal direction from a point $P$ at a certain height. The initial velocities of the particles are oppositely directed to each other and have magnitude $v$ each. The separation between the particles at a time when their position vectors (drawn from the point $P)$ are mutually perpendicular, is:

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

A particle is projected with a velocity $v$ so that its range on a horizontal plane is twice the greatest height attained. Show that the range is $\frac{4 v^{2}}{5 g}$ .

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

A mobile phone of mass

100 g

falls from the hand of a person through the window of a train. The train is accelerating at

1 m s^{- 2}

and just

20 s

have passed since it left the station from standstill. If the window is

2 m

above the ground. With what kinetic energy will the phone will hit the ground?

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

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

Two guns

A

and

B

can fire bullets at speeds

1 km s^{- 1}

and

2 km s^{- 1}

respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is:

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

A fighter plane, flying horizontally with a speed

360 km / h

at an altitude of

500 m

drops a bomb for a target straight ahead of it on the ground. The bomb should be dropped at what approximate distance ahead of the target? Assume that acceleration due to gravity

(g)

10 {ms}^{- 2}

. Also, neglect air drag.

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

Two balls of mass $M$ and $2 M$ are thrown horizontally with the same initial velocity $v_{0}$ from top of a tall tower and experience a drag force of $- k v (k > 0)$ where $v$ is the instantaneous velocity.

Question Image

Then,

MEDIUM

Physics>Mechanics>Motion in a Plane>Projectile Motion

A projectile is launched at an angle

α

with the horizontal with a velocity

20 {m s}^{- 1}

. After

10 s

, its inclination with horizontal is

β

. The value of

\tan β

will be :

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

EASY

Physics>Mechanics>Motion in a Plane>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})

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

A ball is projected with kinetic energy

E

, at an angle of

60 °

to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

A child stands on the edge of the cliff

10 m

above the ground and throws a stone horizontally with an initial speed of

5 m s^{- 1}

. Neglecting the air resistance, the speed with which the stone hits the ground will be _____

m s^{- 1}

(given,

g = 10 m s^{- 2}

EASY

Physics>Mechanics>Motion in a Plane>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 :

HARD

Physics>Mechanics>Motion in a Plane>Projectile Motion

A ball is projected from the ground at an angle of

45 °

with the horizontal surface. It reaches a maximum height of

120 m

and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of

30 °

with the horizontal surface. The maximum height it reaches after the bounce (in meters) is _____________.

EASY

Physics>Mechanics>Motion in a Plane>Projectile Motion

Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?

EASY

Physics>Mechanics>Motion in a Plane>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

MEDIUM

Physics>Mechanics>Motion in a Plane>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

A bomb is dropped from an aeroplane flying horizontally with a velocity 720 kmph at an altitude of 980 m. The bomb will hit the ground after a time:

Important Questions on Motion in a Plane

Learn and Prepare for any exam you want !

A bomb is dropped from an aeroplane flying horizontally with a velocity $720 kmph$ at an altitude of $980 m .$ The bomb will hit the ground after a time: