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A ball is thrown upwards with a speed $u$ from a height $h$ above the ground. The time taken by the ball to hit the ground from maximum height is,

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Important Questions on Motion

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

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

Science>Physics>Motion>Projectile Motion

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?

MEDIUM

Science>Physics>Motion>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

HARD

Science>Physics>Motion>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:

MEDIUM

Science>Physics>Motion>Projectile Motion

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}

)

EASY

Science>Physics>Motion>Projectile Motion

Which of the following graphs represents the speed

v

of a vertical projectile as a function of time

t

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?

HARD

Science>Physics>Motion>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})

HARD

Science>Physics>Motion>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 _____________.

MEDIUM

Science>Physics>Motion>Projectile Motion

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?

MEDIUM

Science>Physics>Motion>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

MEDIUM

Science>Physics>Motion>Projectile Motion

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:

MEDIUM

Science>Physics>Motion>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).

MEDIUM

Science>Physics>Motion>Projectile Motion

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

MEDIUM

Science>Physics>Motion>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

HARD

Science>Physics>Motion>Projectile Motion

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

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

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

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

A ball is thrown upwards with a speed u from a height h above the ground. The time taken by the ball to hit the ground from maximum height is,

Important Questions on Motion

Learn and Prepare for any exam you want !

A ball is thrown upwards with a speed $u$ from a height $h$ above the ground. The time taken by the ball to hit the ground from maximum height is,