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A body freely falling from rest has a velocity $v$ after it falls through distance $2 m$ . The distance it has to fall down further in $m$ for its velocity to become double is:

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Important Questions on Kinematics

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 30

Two objects moving along the same straight line are leaving point

A

with an acceleration

a

2 a

and velocity

2 u,

u

respectively at time

t = 0 .

The distance moved by the object with respect to point

A

when one object overtakes the other is

\frac{α u^{2}}{a} .

Here

α

is an integer. Find

α

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 31

A particle is thrown upwards from the ground. It experiences a constant air resistance which can produce retardation of

2 m s^{- 2}

opposite to the direction of velocity of the particle. The ratio of time of ascent to the time of descent is

\sqrt{\frac{α}{β}} .

Where

α

and

β

are integers. Find the minimum value of

α + β [g = 10 m s^{- 2}]

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 32

A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turn at a speed of

72 km h^{- 1}

. The jeep follows it at a speed of

108 km h^{- 1}

, crossing the turn

10

s

later than the bike (keeping constant speed). After crossing the turn, the jeep accelerates with constant acceleration

2 m s^{- 2}

. Assuming bike travels at a constant speed, after travelling a distance

20 α m

from the turn, the jeep catches the bike where

α

is an integer. Find

α

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 33

A body starts with an initial velocity of

10 m s^{- 1}

and moves along a straight line with a constant acceleration. When the velocity of the particle becomes

50 m s^{- 1}

the acceleration is reversed in direction without changing magnitude. Find the speed of the particle in

m s^{- 1}

when it reaches the starting point.

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 34

A lift starts from the top of a mine shaft and descends with a constant speed of

10 m s^{- 1}

4 s

later a boy throws a stone vertically upwards from the top of the shaft with a speed of

30 m s^{- 1}

. If stone hits the lift at a distance

x

below the shaft write the value of

\frac{x}{3} (m) [g = 10 m s^{- 2}

,
Give value of

20 \sqrt{6} = 49)

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 35

The acceleration time plot for a particle (starting from rest) moving on a straight line is shown in the figure. For given time interval,

Question Image

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 36

The acceleration of a particle is zero at

t = 0

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 37

Mark the correct statements for a particle going on a straight line (

x

-position coordinate,

v

-velocity and

a

-acceleration):

A body freely falling from rest has a velocity v after it falls through distance 2 m. The distance it has to fall down further in m for its velocity to become double is:

Important Questions on Kinematics

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A body freely falling from rest has a velocity $v$ after it falls through distance $2 m$ . The distance it has to fall down further in $m$ for its velocity to become double is: