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A car starts from rest & again comes to rest after travelling $200 m$ in a straight line. If its acceleration and deceleration are limited to $10 m s^{- 2}$ and $20 m s^{- 2}$ respectively, then minimum time the car will take to travel the distance is

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Important Questions on Rectilinear Motion

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 8

Figure shows the position $(x)$ versus time $(t)$ graph for a particle moving in a straight line. At which point, the instantaneous velocity is greater than the average velocity from $O$ to that point?

Question Image

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 9

A particle moves in a straight line with an acceleration

a m s^{- 2}

at time

t

seconds where

a = - \frac{1}{t^{2}}

. When

t = 1

the particle has a velocity of

3 m s^{- 1}

then find the velocity when

t = 4

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 10

The displacement of a body from a reference point is given by

\sqrt{x} = 2 t - 3,

where

x

is in metres and

t

in seconds. This shows that the body:

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 11

Two particles at a distance

5 m

apart are thrown towards each other on an inclined smooth plane with equal speeds

v

. It is known that both particle move along the same straight line. Find the value of

v

if they collide at the point from where the lower particle is thrown. Inclined plane is inclined at an angle of

30 °

with the horizontal [take

g = 10 m s^{- 2}

]

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 12

A stone is dropped from the top of a tower. When it has fallen by

5 m

from the top, another stone is dropped from a point

25 m

below the top. If both stones reach the ground at the same moment, then height of the tower from ground is (take

g = 10 m s^{- 2}

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 13

A stone is released at rest from a height of

45 m

above the horizontal level ground. There is horizontal wind blowing due to which stone acquires an additional (in addition to acceleration due to gravity) horizontal acceleration of magnitude

10 m s^{- 2}

. Then the net distance travelled by stone before reaching the ground is (take

g = 10 m s^{- 2}

and neglect air resistance),

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 14

The uniform motion of a runner is synchronised with the tossing of a coin upwards. Speed of runner is constant and he covers distance

S_{1}

during upward journey of the coin while

S_{2}

is covered by the runner during the downward journey of the coin. Provided that the motion of coin is perpendicular to earth (

g =

constant) and air offer uniform resistance against the motion of coin, the relation between

S_{1}

and

S_{2}

will be,

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 1 - Rectilinear Motion>Exercise 1>Q 15

A particle is moving in a straight line with initial velocity

u

and uniform acceleration

f

. If the sum of the distances travelled in

t^{th}

and

{(t + 1)}^{th}

seconds is

100 cm

, then its velocity after

t

seconds in

cm s^{- 1}

is,

A car starts from rest & again comes to rest after travelling 200 m in a straight line. If its acceleration and deceleration are limited to 10 m s-2 and 20 m s-2 respectively, then minimum time the car will take to travel the distance is

Important Questions on Rectilinear Motion

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A car starts from rest & again comes to rest after travelling $200 m$ in a straight line. If its acceleration and deceleration are limited to $10 m s^{- 2}$ and $20 m s^{- 2}$ respectively, then minimum time the car will take to travel the distance is