At an instant, particle A is at origin and moving with constant velocity 3 i ^ + 4 j ^ m s - 1 and particle B is at 4 m , 4 m and moving with constant velocity 4 i ^ - 3 j ^ m s - 1 . Then

relative velocity of B with respect to A remains constant.

approach velocity of A and B remains constant.

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An aeroplane has to go from a point $A$ to another point $B$ , $1000 km$ away due $30 °$ west of north. A wind is blowing due north at a speed of $20 m s^{- 1}$ . The airspeed of the plane is $150 m s^{- 1}$ . If the angle at which the pilot should head the plane to reach the point $B$ is $\sin^{- 1} (1 / n)$ west of the line $A B$ , Then find $n$ .

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Important Questions on Kinematics

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 50

During a rainy day, rain is falling vertically with a velocity of

2 m s^{- 1}

. A boy at rest starts his motion with a constant acceleration of

2 m s^{- 1}

along a straight road. If the rate at which the angle of the axis of an umbrella with vertical should be changed is

1 / n

t = 5 s

, so that the rain falls parallel to the axis of the umbrella, then find

n

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 52

Two straight tracks

A O B

and

C O D

meet each other at right angles at a point

O

. A person walking at a speed of

5 km h^{- 1}

along

A O B

is at the crossing

O

12

o'clock noon. Another person walking at the same speed along

C O D

reaches the crossing

O

1 : 30 PM

. If the time at which the distance between them is at least

12 : T PM

, then find

T

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 53

$P$ is a point moving with a constant speed $10 m s^{- 1}$ such that its velocity vector always maintains an angle $60 °$ with the line $O P$ , as shown in the figure (where $O$ is a fixed point in space). The initial distance between $O$ and $P$ is $100 m$ . After what time (in $\sec$ ) shall $P$ reach $O$ ?

Question Image

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 54

A man standing on the edge of the terrace of a high-rise building throws a stone vertically up with a speed of

20 m s^{- 1}

. Two seconds later an identical stone is thrown vertically downwards with the same speed of

20 m s^{- 1}

. Then

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 55

A man in a lift that is ascending with an upward acceleration

a

, throws a ball vertically upwards with the velocity

v

with respect to himself and catches it after

t_{1} seconds

. Afterward, when the lift is descending with the same acceleration

a

acting downwards, the man again throws the ball vertically upwards with the same velocity with respect to him and catches it after

t_{2} seconds

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 56

At an instant, particle

A

is at origin and moving with constant velocity

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

and particle

B

is at

(4 m, 4 m)

and moving with constant velocity

(4 \hat{i} - 3 \hat{j}) m s^{- 1}

. Then

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 57

A person is standing on a truck is moving with a constant velocity of

15 m s^{- 1}

on a horizontal road. The man throws a ball in such a way that it returns to his hand after the truck has moved

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

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 2>Q 58

Two boats

A

and

B

, having the same speed relative to the river are moving in a river. The boat

A

moves normal to the river current, as observed by an observer moving with the velocity of the river current. The boat

B

moves normal to the river, as observed by the observer on the ground. Choose the incorrect options.

Important Questions on Kinematics

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