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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 $2 \sec$ is $S_{1}$ and during first $6 \sec$ is $S_{2}$ . Find $\frac{3 S_{2}}{S_{1}}$ .

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Important Questions on Kinematics

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JEE Main/Advance

IMPORTANT

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

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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

The displacement of a particle moving on a straight line is given by x=16t-2t2. Distance travelled by the particle during the first 2 sec is S1 and during first 6 sec is S2. Find 3S2S1.

Important Questions on Kinematics

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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 $2 \sec$ is $S_{1}$ and during first $6 \sec$ is $S_{2}$ . Find $\frac{3 S_{2}}{S_{1}}$ .