A particle moves so that its position vector is given by r → = cos ω t x ^ + sin ω t y ^ where ω is a constant. Which of the following is true?

Velocity is perpendicular to r → and acceleration is directed towards the origin.

Velocity and acceleration both are perpendicular to r → .

Velocity and acceleration both are parallel to r → .

Velocity is perpendicular to r → and acceleration is directed away from the origin.

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A body is moving with velocity $30 m / s$ towards east. After $10$ seconds its velocity becomes $40 m / s$ towards north. The average acceleration of the body is

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Important Questions on Kinematics

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 13

A stone falls freely under gravity. It covers distances

h_{1}

h_{2}

and

h_{3}

in first

5

seconds, next five seconds and next five seconds respectively. The relation between

h_{1}, h_{2}

and

h_{3}

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 14

A particle is moving such that its position coordinate

(x, y)

are

(2 m, 3 m)

at time

t = 0

(6 m, 7 m)

at time

t = 2 s

and

(13 m, 14 m)

at time

t = 5 s

The average velocity vector

({\vec{V}}_{av})

from

t = 0

t = 5 s

is___

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 15

A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $v (x) = {bx}^{- 2 n}$ , where b and n are constants and $x$ is the position of the particle. The acceleration of the particle as the function of $x$ , is given by:

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 16

The

x

and

y

coordinates of the particle at any time

t

are,

x = (5 t - 2 t^{2})

and

y = 10 t

, respectively, where

x

and

y

are in metres and

t

in seconds. The acceleration of the particle at

t = 2 s

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 17

A ship

A

is moving westwards with a speed of

10 km h^{- 1}

another ship

B

which is

100 km

south of

A

, is moving northwards with a speed of

10 km h^{- 1}

. The time after which the distance between them becomes shortest, is___

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 18

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time

t_{1}

. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time

t_{2}

. The time taken by her to walk up on the moving escalator will be:

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 19

A particle moves so that its position vector is given by

\vec{r} = \cos (ω t) \hat{x} + \sin (ω t) \hat{y}

where

ω

is a constant. Which of the following is true?

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 21

For a given angle of projection of the projectile, if the initial velocity is doubled, the range of the projectile becomes

A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is

Important Questions on Kinematics

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A body is moving with velocity $30 m / s$ towards east. After $10$ seconds its velocity becomes $40 m / s$ towards north. The average acceleration of the body is