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If the sum of two unit vectors is also a unit vector, then magnitude of their difference and angle between the two given unit vectors 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 14

A train is running at a constant speed of

90 km h^{- 1}

on a straight track. A person standing at the top of a boggey moves in the direction of motion of the, train such that he covers

1

meters on the train each second. The speed of the person with respect to ground is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 17

A car with a vertical windshield moves in a rain storm at a speed of

40 km {hr}^{- 1}

. The rain drops fall vertically with constant speed of

20 m s^{- 1}

. The angle at which rain drops strike the windshield is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 18

A body of mass

1 kg

is projected from ground at an angle

30 °

with horizontal on a level ground at a speed

50 m s^{- 1}

. The magnitude of change in momentum of the body during its flight is

(g = 10 m s^{- 2})

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

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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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

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

If the sum of two unit vectors is also a unit vector, then magnitude of their difference and angle between the two given unit vectors is

Important Questions on Motion in a Plane

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