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.

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.

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 2

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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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Important Questions on Kinematics

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

A missile is fired for maximum range with an initial velocity of

20 m / s

. If

g = 10 m / s^{2}

, the range of the missile is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 5

A projectile is fired at an angle of

45 °

with the horizontal. The elevation angle of the projectile at its highest point as seen from the point of projection is___

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 6

The horizontal range and maximum height of a projectile are equal. The angle of projection of the projectile is___

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 7

A particle has initial velocity

2 \hat{i} + 3 \hat{j} unit

and acceleration

0.3 \hat{i} + 0.2 \hat{j} unit

The magnitude of velocity after

10 s

will be :

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 8

The velocity of a projectile at the initial point $A$ is $(2 \hat{i} + 3 \hat{j}) m s^{- 1} .$ It's velocity (in $m s^{- 1}$ ) at point $B$ is:

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 9

A projectile is fired from the surface of the earth with a velocity of

5 m s^{- 1}

and angle

θ

with horizontal. Another projectile is fired from another planet with a velocity of

3 m s^{- 1}

at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of acceleration due to gravity on the planet (in

m s^{- 2}

) is (given

g = 9 \cdot 8 m s^{- 2}

)

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 10

A particle starts its motion from rest under the action of a constant force. If the distance covered in first

10 s

is

S_{1}

and that covered in first

20 s

is

S_{2}

then

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 11

A ball is dropped from a high rise platform at

t = 0

starting from rest. After

6

seconds another ball is thrown downwards from the same platform with a speed

v .

The two ball meet at

t = 18 s .

. What is the value of

v ?

[take

g = 10 {ms}^{- 2}

]

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The position vector of a particle R→ as a function of time is given by R→=4sin(2πt)i^+4cos(2πt)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?

Important Questions on Kinematics

Learn and Prepare for any exam you want !