Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 4

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Four vectors $\vec{P Q}, \vec{Q R}, \vec{P S}$ and $\vec{S R}$ are connected as shown in figure, such that $S$ is the mid-point of $P R$ and $| \vec{P Q} | = | \vec{Q R} |,$ then which two vectors are equal ?

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Important Questions on Motion in a Plane

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 5

Particle

A

is moving with velocity

(6 \hat{i} + 10 \hat{j}) m s^{- 1}

and particle

B

is moving with velocity

(3 \hat{i} + 6 \hat{j}) m s^{- 1} .

Magnitude of velocity of

A

w.r.t.

B

is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 6

Equation of motion of projectile in

x - y

plane is

y = a x - b x^{2},

then the angle of projection with

x

-axis is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 7

A man is running with velocity

5 km h^{- 1}

towards east and rain is falling vertically down with speed

5 km h^{- 1} .

Direction of rain w.r.t. man is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 8

Displacement

(\vec{r})

of a particle in

x - y

plane varies with time

t

is given by

\vec{r} = (t^{2} \hat{i} + 2 \hat{j}) m .

Velocity of particle at

t = 1 s

is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 9

A projectile is projected with initial velocity

(6 \hat{i} + 8 \hat{j}) m s^{- 1}

, from the ground. The velocity when it is about to hit the ground is (assuming

y

-axis is along vertical direction)

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 10

A body is projected horizontally with speed $5 m s^{- 1}$ from height $h,$ takes $8 s$ to reach the ground. The time it takes to cover the first one fourth of height is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 11

In uniform circular motion

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 12

If a body is moving in circular path of radius

14 m .

It complete one revolution in

7 s .

Considering the speed to be uniform, the value of centripetal acceleration is