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A particle is projected with a velocity $v$ so that its range on a horizontal plane is twice the greatest height attained. If $g$ is acceleration due to gravity, then its range is

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Important Questions on Kinematics II

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 6

During a projectile motion, if the maximum height equals the horizontal range, then the angle of projection with the horizontal is

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JEE Advanced

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 7

A particle is projected from the ground at some angle with the horizontal. Let

P

be the point at maximum height

H

. At what height above the point

P

should the particle be aimed to have a range equal to maximum height?

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 8

The point from where a ball is projected is taken as the origin of the coordinate axes. The

x

and

y

components of its displacement are given by

x = 6 t

and

y = 8 t - 5 t^{2}

. What is the velocity of projection?

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 9

The point from where a ball is projected is taken as the origin of the coordinate axes. The

x

and

y

components of its displacement are given by

x = 6 t

and

y = 8 t - 5 t^{2}

. In the above problem, what is the angle of projection with horizontal?

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 10

A shot is fired from a point at a distance of

200 m

from the foot of a tower

100 m

high, so that it just passes over it horizontally. The direction of shot with horizontal is

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 11

A projectile has a time of flight

T

and range

R

. If the time of flight is doubled, keeping the angle of projection the same, what happens to the range

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 12

A ball is thrown from a point with a speed

v_{0}

at an angle of projection

θ

. From the same point and at the same instant, a person starts running at a constant speed

\frac{v_{0}}{2}

to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 13

A body is projected at an angle of

30 °

with the horizontal and with a speed of

30 m s^{- 1}

. What is the angle with the horizontal after

1.5 s

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

A particle is projected with a velocity v so that its range on a horizontal plane is twice the greatest height attained. If g is acceleration due to gravity, then its range is

Important Questions on Kinematics II

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A particle is projected with a velocity $v$ so that its range on a horizontal plane is twice the greatest height attained. If $g$ is acceleration due to gravity, then its range is