Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 2

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The displacement of a particle moving in a straight line is given by the expression $x = A t^{3} + B t^{2} + C t + D$ in meters, where t is in seconds and A, B, C and D are constants. The ratio between the initial acceleration and initial velocity is

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Important Questions on Motion in a Straight Line

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Agniveer Vayu

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 3

The displacement of a body is given by

2 s = g t^{2}

where

g

is a constant. The velocity of the body at any time

t

is:

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 4

The position of a particle at any instant

t

is given by,

x = a \cos ω t

. The speed-time graph of the particle is given by_____.

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 5

Question Image

The figure shows distance-time curve for a particle. The maximum instantaneous velocity of the particle is around the point

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 6

Statement- 1: The velocity of a particle depends on its position vector.
Statement - 2: If

\vec{r}

is position vector of a particle at any time

t

, velocity is given by

\vec{v} = \frac{d \vec{r}}{d t}

.

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 7

If a particle moves according to the equation

x = 3 t^{2} + 4 t,

then find instantaneous velocity at

t = 4 s

(

x

is in cm)

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 1

The acceleration-time graph of a particle moving in straight line is shown in figure. If initial velocity is

- 5 m s^{- 1},

then velocity at

t = 4 s

is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 2

A particle is moving in a straight line along

x

-axis, its position is given by

x = 2 t^{2} + 2 t + 4

where

x

is in metre and

t

in second, the acceleration of the particle is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 3 - Motion in a Straight Line>Exercise>Q 3

The oscillation of a body on a smooth horizontal surface is represented by the equation,

x = A \cos (ω t)

, where

x =

displacement at time

t

,

ω =

frequency of oscillation. Which one of the following graph shows correctly the variation

a

with

t

?