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JEE Main

IMPORTANT

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The figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to the initial horizontal velocity component, keeping the highest first.

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Important Questions on Motion in Two Dimensions

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 4

Four bodies

P, Q, R

and

S

are projected with equal velocities, having angles of projection

15 °, 30 °, 45 °

and

60 °

with the horizontal respectively. The body having the shortest range is

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 5

The path of a projectile in the absence of air drag is shown in the figure by a dotted line. If the air resistance is not ignored, then, which one of the paths shown in the figure, is appropriate for the projectile?

Question Image

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 6

A stone projected with a velocity

u

at an angle

θ

with the horizontal, reaches a maximum height

H_{1} .

When it is projected with velocity

u

at an angle

(\frac{π}{2} - θ)

with the horizontal, it reaches maximum height

H_{2}

. If

R

is the range in both the cases, the correct relation is

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 7

An object is projected with a velocity of

20 m s^{- 1}

making an angle of

45 °

with horizontal. The equation for the trajectory is,

h = A x - B x^{2}

where

h

is height,

x

is horizontal distance and

A

and

B

are constants. The ratio

A : B

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

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 8

For a given velocity, a projectile has the same range $R$ for two angles of projection. If $t_{1}$ and $t_{2}$ are the times of flight in the two cases, then

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 9

A stone is projected from the ground with a velocity $50 m s^{- 1}$ at an angle of $30 °$ . It crosses a wall after $3 s$ . How far beyond the wall will the stone strike the ground $(g = 10 m s^{- 2})$ ?

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 10

A particle is projected with a velocity

v

such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (

g

is the acceleration due to gravity.)

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 5 - Motion in Two Dimensions>DPP>Q 11

A man standing on the roof of a house of height

h

, throws one particle vertically downwards and another particle horizontally with the same velocity

u

. The ratio of their velocities, when they reach the Earth’s surface, will be

The figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to the initial horizontal velocity component, keeping the highest first.

Important Questions on Motion in Two Dimensions

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