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Figure shows the displacement of a particle going along the $x$ -axis as a function of time. Find the region where force acting on the particle is zero.

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Important Questions on Kinematics

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 26

A particle moving in a straight line, traversed half the distance with a velocity

v_{0}

. The remaining part of the distance was covered with velocity

v_{1}

for half the time and with velocity

v_{2}

for the other half of the time. Mean velocity of the particle averaged over the whole time of motion comes out to be

a v_{0} (\frac{v_{1} + v_{2}}{b v_{0} + v_{1} + v_{2}}),

where

a

and

b

are positive integers. Find

a + b

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 27

The displacement of a particle moving on a straight line is given by

x = 16 t - 2 t^{2}

. Distance travelled by the particle during the first

2 \sec

S_{1}

and during first

6 \sec

S_{2}

. Find

\frac{3 S_{2}}{S_{1}}

HARD

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 28

A healthy young man standing at a distance of

6 m

from a

11.5 m

high building sees a kid slipping from the top floor. With what uniform acceleration in

m s^{- 2}

(starting from rest) should he run to catch the kid at the arms height

(1.5 m) ?

Take

g = 10 m s^{- 2}

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 29

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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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

HARD

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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.

Figure shows the displacement of a particle going along the x-axis as a function of time. Find the region where force acting on the particle is zero.

Important Questions on Kinematics

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Figure shows the displacement of a particle going along the $x$ -axis as a function of time. Find the region where force acting on the particle is zero.