The position vector of a particle R → as a function of time is given by R → = 4 sin ( 2 π t ) i ^ + 4 cos ( 2 π t ) j ^ , where R is in meters, t in seconds ; i ^ and j ^ denote unit vectors along x and Y directions, respectively. Which of the following statements is wrong for the motion of the particle?

Magnitude of the velocity of the particle is 8 metre/second.

Path of the particle is a circle of radius 4 metre.

Acceleration vector is along - R →

Magnitude of acceleration vector is v 2 R , where v is the velocity of the particle.

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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The angles of the projection of a projectile at angle $(45 ° - θ)$ and $(45 ° + θ)$ , the horizontal range described by the projectile are in the ratio of

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Important Questions on Kinematics

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Previous Year Questions)>Q 38

A car moves from

X

Y

with a uniform speed

v_{u}

and returns to

X

with a uniform speed

V_{d}

. Find the average speed for this round trip is

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Previous Year Questions)>Q 39

A car runs at a constant speed on a circular track of radius

100 m

, taking

62.8 s

for every circular lap . The average velocity and average speed for each circular lap respectively is

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Previous Year Questions)>Q 40

A particle moves in a circle of radius

5 c m

with constant speed and time period

0.2 π s .

The acceleration of the particle is

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Previous Year Questions)>Q 41

The position vector of a particle

\vec{R}

as a function of time is given by

\vec{R} = 4 \sin (2 π t) \hat{i} + 4 \cos (2 π t) \hat{j}

, where

R

is in meters,

t

in seconds ;

\hat{i}

and

\hat{j}

denote unit vectors along

x

and

Y

directions, respectively. Which of the following statements is wrong for the motion of the particle?

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Previous Year Questions)>Q 42

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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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 1

A particle moving along

x

-axis has acceleration

f

, at the time

t

, given by

f = f_{0} (1 - \frac{t}{T})

, where

f_{0}

and

T

are constants. The particle at

t = 0

has zero velocity. At the instant when

f = 0

, find the particle’s velocity is

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 2

The position

x

of a particle with respect to time

t

along

x

-axis is given by

x = 9 t^{2} - t^{3}

where

x

is in

metres

and

t

seconds

. Find what will be the position of the particle when it achieves maximum speed along the

+ x

-direction?

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 3

The distance travelled by a particle starting from rest and moving with an acceleration

\frac{4}{3} m s^{- 2}

, in the third second is

The angles of the projection of a projectile at angle 45°-θ and 45°+θ, the horizontal range described by the projectile are in the ratio of

Important Questions on Kinematics

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The angles of the projection of a projectile at angle $(45 ° - θ)$ and $(45 ° + θ)$ , the horizontal range described by the projectile are in the ratio of