A particle moves along a positive branch of the curve, y = x 2 , where x = t 3 3 , x and y are measured in meters and t in seconds , then

the acceleration of the particle at t = 2 s is 2 i ^ + j ^ .

the velocity of the particle at t = 1 s is 1 2 i ^ + j ^ .

the acceleration of the particle at t = 2 s is i ^ + 2 j ^ .

A boat is travelling due east at 12 m s - 1 . A flag on the boat flaps at 53 ° N of W . Another flag on the shore flaps due north.

Speed of wind with respect to the boat is 20 m s - 1 .

Speed of wind with respect to ground is 20 m s - 1 .

Speed of wind with respect to the boat is 16 m s - 1 .

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The ship $A$ is located $4 km$ north and $3 km$ east of the ship $B$ . The ship $A$ has a velocity of $20 km h^{- 1}$ towards the south and the ship $B$ is moving at $40 km h^{- 1}$ in a direction $37 °$ north of east. Take $x$ and $y$ -axes along east and north directions, respectively.

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Important Questions on Kinematics II

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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 8

A particle is projected at an angle

θ = 30 °

with the horizontal, with a velocity of

10 m s^{- 1}

. Then

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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 9

A particle moves along a positive branch of the curve,

y = \frac{x}{2}

, where

x = \frac{t^{3}}{3}

x

and

y

are measured in

meters

and

t

seconds

, then

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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 10

T

is the total time of flight

h

is the maximum height and

R

is the range for horizontal motion, the

x

and

y

co-ordinates of projectile motion and time

t

are related as

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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 11

Consider a shell that has a muzzle velocity of

45 m s^{- 1}

fired from the tail gun of an airplane, moving horizontally with a velocity of

215 m s^{- 1}

. The tail gun can be directed at any angle with the vertical, in a plane of motion of the airplane. The shell is fired when the plane is above the point

A

on the ground. The plane is above the point

B

on the ground when the shell hits the ground. (Assume for simplicity that the earth is flat)

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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 12

A boat is travelling due east at

12 m s^{- 1}

. A flag on the boat flaps at

53 ° N

W

. Another flag on the shore flaps due north.

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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 13

A particle has initial velocity

(4 \hat{i} + 4 \hat{j}) m s^{- 1}

and acceleration

(- 0.4) \hat{i} m s^{- 2}

, at what time will its speed be

5 m s^{- 1}

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 5 - Kinematics II>Exercises>Q 14

A cubical box dimension

L = 5 / 4 m

starts moving with an acceleration

\vec{a} = 0.5 \hat{i} m s^{- 2}

from the state of rest. At the same time, a stone is thrown from the origin with velocity

\vec{V} = v_{1} \hat{i} + v_{2} \hat{j} - v_{3} \hat{k}

with respect to the earth. Acceleration due to gravity

\vec{g} = 10 (- \hat{j}) m s^{- 2}

. The stone just touches the roof of a box and finally falls at the diagonally opposite point, then

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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 15

A football is kicked with a speed of $22 m s^{- 1}$ at an angle of $60 °$ to the positive $x$ -direction taken along the horizontal. At that instant, an observer moves past the football in a car that moves with a constant speed of $11 m s^{- 1}$ in the positive $x$ -direction. Take positive $y$ -direction vertically upwards. $(g = 10 m s^{- 2})$

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The ship A is located 4 km north and 3 km east of the ship B. The ship A has a velocity of 20 km h-1 towards the south and the ship B is moving at 40 km h-1 in a direction 37° north of east. Take x and y-axes along east and north directions, respectively.

Important Questions on Kinematics II

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The ship $A$ is located $4 km$ north and $3 km$ east of the ship $B$ . The ship $A$ has a velocity of $20 km h^{- 1}$ towards the south and the ship $B$ is moving at $40 km h^{- 1}$ in a direction $37 °$ north of east. Take $x$ and $y$ -axes along east and north directions, respectively.