EASY

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The horizontal range of a projectile is added maximum for a given velocity of projection when the angle of projection is :

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Important Questions on Motion

EASY

Science>Physics>Motion>Projectile Motion

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

EASY

Science>Physics>Motion>Projectile Motion

A body is projected at an angle of

60 °

with the horizontal such that the vertical component of its initial velocity is

40 m s^{- 1}

. The magnitude of velocity of the projectile at one quarter of its time of flight is nearly (Acceleration due to gravity

= 10 m s^{- 2}

)

EASY

Science>Physics>Motion>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

Science>Physics>Motion>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:

EASY

Science>Physics>Motion>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

Science>Physics>Motion>Projectile Motion

A projectile is fired at an angle of

45 °

and reaches the highest point in its path after

2 \sqrt{2}

s. Find the velocity of projectile in

m / s

EASY

Science>Physics>Motion>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

Science>Physics>Motion>Projectile Motion

t = 0,

a particle starts moving from the origin with the velocity,

5.01 m s^{- 1}

, it moves in

x - y

plane due to a force having a constant acceleration of

(2.0 \hat{i} + 3.0 \hat{j}) m s^{- 2}

. Find the coordinate of the particle at

t = 6 s

EASY

Science>Physics>Motion>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 :

EASY

Science>Physics>Motion>Projectile Motion

The velocity of a projectile at the initial point $A$ is $(2 \hat{i} - 3 \hat{j}) m s^{- 1}$ . Its velocity (in $m s^{- 1}$ ) at point $B$ is

Question Image

EASY

Science>Physics>Motion>Projectile Motion

The trajectory of projectile is

EASY

Science>Physics>Motion>Projectile Motion

A person walks

25 °

north of east for

3.18 km

. How far would she have to walk due north and then due east to arrive at the same location?

EASY

Science>Physics>Motion>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

Science>Physics>Motion>Projectile Motion

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

EASY

Science>Physics>Motion>Projectile Motion

A projectile is thrown at a speed which is twice its speed at its maximum height. If

R

and

H

are its range and maximum height respectively then the ratio

\frac{R}{H}

EASY

Science>Physics>Motion>Projectile Motion

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

EASY

Science>Physics>Motion>Projectile Motion

A particle leaves the origin with initial velocity

\vec{v} = (3 \hat{i}) m s^{- 1}

and a constant acceleration

\vec{a} = (- 1 \hat{i} - 0.5 \hat{j}) m s^{- 2}

. The position vector of particle, when it reaches its maximum

x

-coordinate, is

EASY

Science>Physics>Motion>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

Science>Physics>Motion>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}

)

EASY

Science>Physics>Motion>Projectile Motion

Two bodies are projected at angles

θ

and

(90^{o} - θ)

to the horizontal with the same speed. The ratio of their times of flight is

The horizontal range of a projectile is added maximum for a given velocity of projection when the angle of projection is :

Important Questions on Motion

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