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Two tall buildings are $30 m$ apart. The speed with which a ball must be thrown horizontally from a window $150 m$ above the ground in one building so that it enters a window $27.5 m$ from the ground in the other building is

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Important Questions on Kinematics II

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 16

A shell fired from the ground is just able to cross horizontally the top of a wall

90 m

away and

45 m

high. The direction of projection of the shell will be

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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 17

The equation of motion of a projectile is

y = 12 x - \frac{3}{4} x^{2}

. The horizontal component of velocity is

3 m s^{- 1}

. What is the range of the projectile?

EASY

JEE Advanced

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 18

Two paper screens

A

and

B

are separated by

150 m

. A bullet pierces

A

and

B

. The hole in

B

15 cm

below the hole in

A

. If the bullet is travelling horizontally at the time of hitting

A

, then the velocity of the bullet at

A

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

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 19

At what angle with the horizontal should a ball be thrown so that the range

R

is related to the time of flight as

R = 5 T^{2}

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

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 20

Rain is falling vertically downwards with a speed of

4 km h^{- 1}

. A girl moves on a straight road with a velocity of

3 km h^{- 1}

. The apparent velocity of rain with respect to the girl 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 21

The ship

A

is travelling with a velocity of

5 km h^{- 1}

due east. A second ship is heading

30 °

east of north. What should be the speed of the second ship if it is to remain always due north with respect to the first ship?

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 22

A man swims from a point $A$ on one bank of a river of width $100 m$ . When he swims perpendicular to the water current, he reaches the other bank $50 m$ downstream. The angle to the bank at which he should swim, to reach the directly opposite point $B$ on the other bank is

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 23

Rain is falling vertically with a velocity of

25 m s^{- 1}

. A woman rides a bicycle with a speed of

10 m s^{- 1}

in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to save herself from rain?

Two tall buildings are 30 m apart. The speed with which a ball must be thrown horizontally from a window 150 m above the ground in one building so that it enters a window 27.5 m from the ground in the other building is

Important Questions on Kinematics II

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Two tall buildings are $30 m$ apart. The speed with which a ball must be thrown horizontally from a window $150 m$ above the ground in one building so that it enters a window $27.5 m$ from the ground in the other building is