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

EASY

Agniveer Vayu

IMPORTANT

Earn 100

A man crosses a river perpendicular to the river flow in time $t$ and travels an equal distance down the stream in time $T$ . The ratio of man's speed in still water to the speed of river water will be :

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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 5

Each of the questions given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and.

What is the man's speed in still water?

I. The speed of the stream is one third of the man's speed in still water.

II. In a given time, the man can swim twice as far with the stream as he can against it.

EASY

Agniveer Vayu

IMPORTANT

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

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

EASY

Agniveer Vayu

IMPORTANT

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

Rain falls with velocity

7 \hat{i} - 10 \hat{j}

where

x

-axis is horizontal and

y

-axis is vertical. With what velocity should a man run so that he sees rain falling vertically.

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 8

If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph, then the man's rate along the current is :

EASY

Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 4 - Motion in a Plane>Exercise>Q 9

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:

EASY

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?

EASY

Agniveer Vayu

IMPORTANT

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

IMPORTANT

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 -

A man crosses a river perpendicular to the river flow in time t and travels an equal distance down the stream in time T. The ratio of man's speed in still water to the speed of river water will be :

Important Questions on Motion in a Plane

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A man crosses a river perpendicular to the river flow in time $t$ and travels an equal distance down the stream in time $T$ . The ratio of man's speed in still water to the speed of river water will be :