The trajectory of a projectile near the surface of the earth is given as y = 2 x - 9 x 2 . If it were launched at an angle θ 0 with speed v 0 then g = 10 m s - 2 :

θ 0 = cos - 1 1 5 and v 0 = 5 3 m s - 1

θ 0 = cos - 1 2 5 and v 0 = 3 5 m s - 1

θ 0 = sin - 1 1 5 and v 0 = 5 3 m s - 1

θ 0 = sin - 1 2 5 and v 0 = 3 5 m s - 1

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Agniveer Vayu

IMPORTANT

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In one hour, a boat goes $11 km$ along the stream and $5 km$ against the stream. The speed of the boat in still water (in $km {hr}^{- 1}$ ) is:

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Important Questions on Motion in a Plane

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 10

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

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Agniveer Vayu

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 1

A particle starting from the origin

(0, 0)

moves in a straight line in the x-y plane. Its coordinates at a later time are

(\sqrt{3}, 3) .

The path of the particle makes with the x-axis an angle of

EASY

Agniveer Vayu

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 2

A body is thrown from a point with speed

50 m s^{- 1}

at an angle

37^{o}

with horizontal. When it has moved a horizontal distance of 80 m then its distance from point of projection is -

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 3

If a projectile thrown with a speed v at an angle

45^{o}

to the horizontal attains a maximum height of 6.2m, its range will be -

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 4

A projectile is thrown in the upward direction making an angle of

60^{o}

with the horizontal direction with a velocity of

147 m s^{- 1}

. Then the time after which its inclination with the horizontal is

45^{o}

, is:

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 5

A boy playing on the roof of a

10 m

high building throws a ball with a speed of

10 m s^{- 1}

at an angle of

30^{\circ}

with the horizontal. How far from the throwing point will the ball be at the height of

10 m

from the ground?

[g = 10 m s^{- 2}, sin 3 0^{\circ} = \frac{1}{2}, cos 3 0^{\circ} = \sqrt{\frac{3}{2}}]

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 6

A projectile can have the same range R for two angles of projection.If T₁and T₂ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

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Agniveer Vayu

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 7

A particle is projected at

6 0^{\circ}

to the horizontal with a kinetic energy K. The kinetic energy at the highest point is

In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water (in km hr-1) is:

Important Questions on Motion in a Plane

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In one hour, a boat goes $11 km$ along the stream and $5 km$ against the stream. The speed of the boat in still water (in $km {hr}^{- 1}$ ) is: