Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 19

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Two projectiles are projected at angles $(\frac{π}{4} + θ)$ and $(\frac{π}{4} - θ)$ with the horizontal, where $θ < \frac{π}{4}$ , with same speed. The ratio of horizontal ranges described by them 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 21

The position coordinates of a projectile projected from ground on a certain planet (with no atmosphere) are given by

y = (4 t - 2 t^{2}) m

and

x = (3 t)

metre, where

t

is in second and point of projection is taken as origin. The angle of projection of projectile with vertical is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 22

A particle is projected from ground with speed

80 m s^{- 1}

at an angle

30 °

with horizontal from ground. The magnitude of average velocity of particle in time interval

t = 2 s

to

t = 6 s

is [Take

g = 10 m s^{- 2}

]

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 23

A stone projected from ground with certain speed at an angle

θ

with horizontal attains maximum height

h_{1}

. When it is projected with same speed at an angle

θ

with vertical attains height

h_{2}

. The horizontal range of projectile is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 24

Two objects are thrown up at angles of

45 °

and

60 °

respectively, with the horizontal. If both objects attain same vertical height, then the ratio of magnitude of velocities with which these are projected is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 25

For an object projected from ground with speed

u

horizontal range is two times the maximum height attained by it. The horizontal range of object is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 26

The velocity at the maximum height of a projectile is

\frac{\sqrt{3}}{2}

times of its initial velocity

u

of projection. Its range on the horizontal plane is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 27

A projectile is thrown into space to have the maximum possible horizontal range equal to

400 m

. Taking the point of projection as the origin coordinates of the point where the velocity of the projectile is minimum are:-

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 28

If the time of flight of a bullet over a horizontal range

R

is

T,

then the angle of projection with horizontal is