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

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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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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 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

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 13

A man is walking on a horizontal road at velocity

5 km h^{- 1}

and the rain appears to be falling vertically at

5 km h^{- 1}

to him. The magnitude of velocity of rain with respect to the man is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 14

The angle of projection of a projectile which is projected with certain velocity from ground is

\frac{π}{8}

with horizontal and its horizontal range is

R .

The angle with the horizontal for another projectile having same range

R

and speed is