EASY

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A ball is thrown vertically upwards with a given velocity such that it rises for $T$ seconds $(T > 1)$ . What is the distance transversed by the ball during the last one second of ascent ( in meters ) ( According due to gravity is $\frac{gm}{s^{2}}$ )

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Important Questions on Measurements and Motion

EASY

Science>Physics>Measurements and Motion>Free Fall

A stone is dropped from the top of a building. When it crosses a point

5 m

below the top, another stone starts to fall from a point

25 m

below the top. Both stones reach the bottom of building simultaneously. The height of the building is :

EASY

Science>Physics>Measurements and Motion>Free Fall

A box filled with water has a small hole on its side near the bottom. It is dropped from the top of a tower. As it falls, a camera attached on the side of the box records the shape of the water stream coming out of the hole. The resulting video will show

EASY

Science>Physics>Measurements and Motion>Free Fall

When a ball is thrown up vertically with a velocity

v_{0}

it reaches a height

h

. If one wishes to triple the maximum height, then the ball should be thrown with a velocity of

HARD

Science>Physics>Measurements and Motion>Free Fall

A ball of mass $m$ is thrown upward with a velocity $v$ . The air exerts an average resisting force $F$ . The velocity with which the ball returns to the thrower is

MEDIUM

Science>Physics>Measurements and Motion>Free Fall

A tennis ball is released from a height

h

and after freely falling on a wooden floor it rebounds and reaches height

h / 2

. The velocity versus height of the ball during its motion may be represented graphically by: (graphs are drawn schematically and on not to scale)

HARD

Science>Physics>Measurements and Motion>Free Fall

Two uniformly dense spherical balls of radius

R

and

2 R

are released simultaneously from identical heights. If both the balls hit the ground at the same time, then the ratio of densities of the balls,

ρ_{R} : ρ_{2 R}

is (here,

ρ_{R}

is the density of the ball with radius

R

and

ρ_{2 R}

is the density of the ball with radius

2 R

)

HARD

Science>Physics>Measurements and Motion>Free Fall

If a ball is thrown at a velocity of

45 m s^{- 1}

in vertical upward direction, then what would be the velocity profile as function of height? (Assume,

g = 10 m s^{- 2}

)

MEDIUM

Science>Physics>Measurements and Motion>Free Fall

Find the ratio of the distance travelled by a freely falling body during the first and third second of its fall.

MEDIUM

Science>Physics>Measurements and Motion>Free Fall

A ball is thrown vertically downward with a velocity of

20 m s^{- 1}

from the top of a tower. It hits the ground after some time with a velocity of

80 m s^{- 1}

. The height of the tower is:

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

EASY

Science>Physics>Measurements and Motion>Free Fall

A person sitting in the ground floor of a building notices through the window, of height

1.5 m,

a ball dropped from the roof of the building crosses the window in

0.1 s .

What is the velocity of the ball when it is at the topmost point of the window?

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

HARD

Science>Physics>Measurements and Motion>Free Fall

A balloon was moving upwards with a uniform velocity of

10 m s^{- 1}

. An object of finite mass is dropped from the balloon when it was at a height of

75 m

from the ground level. The height of the balloon from the ground when object strikes the ground was around: (takes the value of

g

10 m s^{- 2}

)

HARD

Science>Physics>Measurements and Motion>Free Fall

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path.The relation between H, u and n is :

HARD

Science>Physics>Measurements and Motion>Free Fall

A ball is thrown up with a certain velocity so that it reaches a height

h .

Find the ratio of the two different times of the ball reaching

\frac{h}{3}

in both the directions.

EASY

Science>Physics>Measurements and Motion>Free Fall

Water-drops are falling at regular intervals from a water tap situated at a height of

5 meters

from the ground. Just at the moment, the first drop touches the ground, the third drop comes out. At that moment, the height of the second drop of water from the ground will be

MEDIUM

Science>Physics>Measurements and Motion>Free Fall

A body

A

thrown vertically upwards with a velocity

v

reaches a height of

200 m

. Another body

B

whose mass is twice that of

A

is thrown with a velocity

2 v

. Find the maximum height reached by

B

EASY

Science>Physics>Measurements and Motion>Free Fall

A ball is projected vertically up with speed

V_{0}

from a certain height

H .

When the ball reaches the ground the speed is

3 V_{0} .

The time taken by the ball to reach the ground and height

H

respectively are.(

g =

the acceleration due to gravity)

EASY

Science>Physics>Measurements and Motion>Free Fall

A particle is thrown vertically up with a velocity of

100 m s^{- 1}

. What will be the time taken by the body to reach the ground? Assume

g = 10 m s^{- 2}

EASY

Science>Physics>Measurements and Motion>Free Fall

A body is projected vertically upwards with a velocity

' u'

from the top of a tower. Time taken by it to reach the ground is

' n'

times the time taken by it to reach the highest point in its path. Height of the tower is

MEDIUM

Science>Physics>Measurements and Motion>Free Fall

A ball is dropped from the top of a

100 m

high tower on a planet. In the last

\frac{1}{2} s

before hitting the ground, it covers a distance of

19 m .

Acceleration due to gravity (in

m s^{- 2}

) near the surface on that planet is______

EASY

Science>Physics>Measurements and Motion>Free Fall

A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocity

(v)

vs time

(t)

A ball is thrown vertically upwards with a given velocity such that it rises for T seconds T>1. What is the distance transversed by the ball during the last one second of ascent ( in meters ) ( According due to gravity is gms2 )

Important Questions on Measurements and Motion

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A ball is thrown vertically upwards with a given velocity such that it rises for $T$ seconds $(T > 1)$ . What is the distance transversed by the ball during the last one second of ascent ( in meters ) ( According due to gravity is $\frac{gm}{s^{2}}$ )