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For a projectile motion, the angle between the velocity and acceleration is minimum and acute at

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Important Questions on Physics

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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).

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

A projectile is fired from the surface of the earth with a velocity of

5 m s^{- 1}

and angle

θ

with the horizontal. Another projectile fired from another planet with a velocity of

3 {m s}^{- 1}

at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is: (given

= 9.8 m s^{- 2}

)

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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

EASY

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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

MEDIUM

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

A shell is fired from a fixed artillery gun with an initial speed

u

such that it hits the target on the ground at a distance

R

from it. If

t_{1}

and

t_{2}

are the values of the time taken by it to hit the target in two possible ways, the product

t_{1} t_{2}

is:

HARD

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

A ball is thrown from ground at an angle

θ

with horizontal and with an initial speed

u_{0} .

For the resulting projectile motion, the magnitude of average velocity of the ball up to the point when it hits the ground for the first time is

V_{1} .

After hitting the ground, ball rebounds at the same angle

θ

but with a reduced speed of

\frac{u_{0}}{α} .

Its motion continues for a long time as shown in figure. If the magnitude of average velocity of the ball for entire duration of motion is

0.8 V_{1},

the value of

α

is______

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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

EASY

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

Which of the following graphs represents the speed

v

of a vertical projectile as a function of time

t

HARD

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

A small boy is throwing a ball towards a wall

6 m

in front of him. He releases the ball at a height of

1.4 m

from the ground. The ball bounces from the wall at a height of

3 m

, rebounds from the ground and reaches the boy's hand exactly at the point of release. Assuming the two bounces (one from the wall and the other from the ground) to be perfectly elastic, how far ahead of the boy did the ball bounce from the ground?

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

Two projectiles

P

and

Q

thrown with velocities

v

and

\frac{v}{2}

respectively have the same range. If

Q

is thrown at an angle of

15 °

to the horizontal,

P

must be thrown at an angle of

HARD

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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 _____________.

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

At what angle

θ

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

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights,

h_{1}

and

h_{2} .

Which of the following is correct?

HARD

Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

The horizontal range and maximum height attained by a projectile are

R

and

H

respectively. If a constant horizontal acceleration

a = \frac{g}{4}

is imparted to the projectile due to wind, then its horizontal range and maximum height will be

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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}

)

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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 :

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Reasoning and General Awareness>General Knowledge and Current Affairs>Physics>Mechanics

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:

For a projectile motion, the angle between the velocity and acceleration is minimum and acute at

Important Questions on Physics

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