Relative Motion in Two Dimensions
PHXI04:MOTION IN A PLANE

362063 A man runs along a horizontal road holding his umbrella vertical in order to afford maximum protection from rain. The rain is actually:

1 Falling vertical
2 Coming from front of the man
3 Coming from the back of the man
4 Either of (1), (2), or (3)
PHXI04:MOTION IN A PLANE

362064 To a man walking at the rate of 3 \(km\)/\(hr\) the rain appears to fall vertically. When he increases his speed to 6 \(km\)/\(h\)4 it appears to meet him at an angle of \(45^\circ \) with vertical. Find the speed of the rain.

1 \(3\sqrt 2 \;km/hr\)
2 \(2\sqrt 2 \;km/hr\)
3 \(4\sqrt 2 \;km/hr\)
4 \(6\;km/hr\)
PHXI04:MOTION IN A PLANE

362065 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 could hold her umbrella to safe herself from the rain?

1 \({\tan ^{ - 1}}(1)\)
2 \({\tan ^{ - 1}}(0.4)\)
3 \({\tan ^{ - 1}}(2.6)\)
4 \({\tan ^{ - 1}}(\sqrt 3 )\)
PHXI04:MOTION IN A PLANE

362066 A man running on a horizontal road at 8 \(km\)/\(h\). finds it is raining vertically. He increases his speed to 12 \(km\)/\(h\) and finds that the drops make angle \(30^\circ \) with the vertical. Find the speed of the rain with respect to road (ground).

1 \(4\sqrt 6 \,km/\sec \)
2 \(4\sqrt 7 \,km/hr\)
3 \(5\sqrt 7 \,km/hr\)
4 \(6\sqrt 7 \,km/hr\)
PHXI04:MOTION IN A PLANE

362067 A boy is running on a plane road with velocity ‘\(v\)’ with a long hollow tube in his hand. The water is falling vertically downwards with velocity \(u\). At what angle to the vertical he must incline the tube so that the water drops enter in it without touching its side?

1 \({\tan ^{ - 1}}\left( {\frac{v}{u}} \right)\)
2 \({\sin ^{ - 1}}\left( {\frac{v}{u}} \right)\)
3 \({\tan ^{ - 1}}\left( {\frac{u}{v}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{u}{v}} \right)\)
PHXI04:MOTION IN A PLANE

362063 A man runs along a horizontal road holding his umbrella vertical in order to afford maximum protection from rain. The rain is actually:

1 Falling vertical
2 Coming from front of the man
3 Coming from the back of the man
4 Either of (1), (2), or (3)
PHXI04:MOTION IN A PLANE

362064 To a man walking at the rate of 3 \(km\)/\(hr\) the rain appears to fall vertically. When he increases his speed to 6 \(km\)/\(h\)4 it appears to meet him at an angle of \(45^\circ \) with vertical. Find the speed of the rain.

1 \(3\sqrt 2 \;km/hr\)
2 \(2\sqrt 2 \;km/hr\)
3 \(4\sqrt 2 \;km/hr\)
4 \(6\;km/hr\)
PHXI04:MOTION IN A PLANE

362065 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 could hold her umbrella to safe herself from the rain?

1 \({\tan ^{ - 1}}(1)\)
2 \({\tan ^{ - 1}}(0.4)\)
3 \({\tan ^{ - 1}}(2.6)\)
4 \({\tan ^{ - 1}}(\sqrt 3 )\)
PHXI04:MOTION IN A PLANE

362066 A man running on a horizontal road at 8 \(km\)/\(h\). finds it is raining vertically. He increases his speed to 12 \(km\)/\(h\) and finds that the drops make angle \(30^\circ \) with the vertical. Find the speed of the rain with respect to road (ground).

1 \(4\sqrt 6 \,km/\sec \)
2 \(4\sqrt 7 \,km/hr\)
3 \(5\sqrt 7 \,km/hr\)
4 \(6\sqrt 7 \,km/hr\)
PHXI04:MOTION IN A PLANE

362067 A boy is running on a plane road with velocity ‘\(v\)’ with a long hollow tube in his hand. The water is falling vertically downwards with velocity \(u\). At what angle to the vertical he must incline the tube so that the water drops enter in it without touching its side?

1 \({\tan ^{ - 1}}\left( {\frac{v}{u}} \right)\)
2 \({\sin ^{ - 1}}\left( {\frac{v}{u}} \right)\)
3 \({\tan ^{ - 1}}\left( {\frac{u}{v}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{u}{v}} \right)\)
PHXI04:MOTION IN A PLANE

362063 A man runs along a horizontal road holding his umbrella vertical in order to afford maximum protection from rain. The rain is actually:

1 Falling vertical
2 Coming from front of the man
3 Coming from the back of the man
4 Either of (1), (2), or (3)
PHXI04:MOTION IN A PLANE

362064 To a man walking at the rate of 3 \(km\)/\(hr\) the rain appears to fall vertically. When he increases his speed to 6 \(km\)/\(h\)4 it appears to meet him at an angle of \(45^\circ \) with vertical. Find the speed of the rain.

1 \(3\sqrt 2 \;km/hr\)
2 \(2\sqrt 2 \;km/hr\)
3 \(4\sqrt 2 \;km/hr\)
4 \(6\;km/hr\)
PHXI04:MOTION IN A PLANE

362065 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 could hold her umbrella to safe herself from the rain?

1 \({\tan ^{ - 1}}(1)\)
2 \({\tan ^{ - 1}}(0.4)\)
3 \({\tan ^{ - 1}}(2.6)\)
4 \({\tan ^{ - 1}}(\sqrt 3 )\)
PHXI04:MOTION IN A PLANE

362066 A man running on a horizontal road at 8 \(km\)/\(h\). finds it is raining vertically. He increases his speed to 12 \(km\)/\(h\) and finds that the drops make angle \(30^\circ \) with the vertical. Find the speed of the rain with respect to road (ground).

1 \(4\sqrt 6 \,km/\sec \)
2 \(4\sqrt 7 \,km/hr\)
3 \(5\sqrt 7 \,km/hr\)
4 \(6\sqrt 7 \,km/hr\)
PHXI04:MOTION IN A PLANE

362067 A boy is running on a plane road with velocity ‘\(v\)’ with a long hollow tube in his hand. The water is falling vertically downwards with velocity \(u\). At what angle to the vertical he must incline the tube so that the water drops enter in it without touching its side?

1 \({\tan ^{ - 1}}\left( {\frac{v}{u}} \right)\)
2 \({\sin ^{ - 1}}\left( {\frac{v}{u}} \right)\)
3 \({\tan ^{ - 1}}\left( {\frac{u}{v}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{u}{v}} \right)\)
PHXI04:MOTION IN A PLANE

362063 A man runs along a horizontal road holding his umbrella vertical in order to afford maximum protection from rain. The rain is actually:

1 Falling vertical
2 Coming from front of the man
3 Coming from the back of the man
4 Either of (1), (2), or (3)
PHXI04:MOTION IN A PLANE

362064 To a man walking at the rate of 3 \(km\)/\(hr\) the rain appears to fall vertically. When he increases his speed to 6 \(km\)/\(h\)4 it appears to meet him at an angle of \(45^\circ \) with vertical. Find the speed of the rain.

1 \(3\sqrt 2 \;km/hr\)
2 \(2\sqrt 2 \;km/hr\)
3 \(4\sqrt 2 \;km/hr\)
4 \(6\;km/hr\)
PHXI04:MOTION IN A PLANE

362065 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 could hold her umbrella to safe herself from the rain?

1 \({\tan ^{ - 1}}(1)\)
2 \({\tan ^{ - 1}}(0.4)\)
3 \({\tan ^{ - 1}}(2.6)\)
4 \({\tan ^{ - 1}}(\sqrt 3 )\)
PHXI04:MOTION IN A PLANE

362066 A man running on a horizontal road at 8 \(km\)/\(h\). finds it is raining vertically. He increases his speed to 12 \(km\)/\(h\) and finds that the drops make angle \(30^\circ \) with the vertical. Find the speed of the rain with respect to road (ground).

1 \(4\sqrt 6 \,km/\sec \)
2 \(4\sqrt 7 \,km/hr\)
3 \(5\sqrt 7 \,km/hr\)
4 \(6\sqrt 7 \,km/hr\)
PHXI04:MOTION IN A PLANE

362067 A boy is running on a plane road with velocity ‘\(v\)’ with a long hollow tube in his hand. The water is falling vertically downwards with velocity \(u\). At what angle to the vertical he must incline the tube so that the water drops enter in it without touching its side?

1 \({\tan ^{ - 1}}\left( {\frac{v}{u}} \right)\)
2 \({\sin ^{ - 1}}\left( {\frac{v}{u}} \right)\)
3 \({\tan ^{ - 1}}\left( {\frac{u}{v}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{u}{v}} \right)\)
PHXI04:MOTION IN A PLANE

362063 A man runs along a horizontal road holding his umbrella vertical in order to afford maximum protection from rain. The rain is actually:

1 Falling vertical
2 Coming from front of the man
3 Coming from the back of the man
4 Either of (1), (2), or (3)
PHXI04:MOTION IN A PLANE

362064 To a man walking at the rate of 3 \(km\)/\(hr\) the rain appears to fall vertically. When he increases his speed to 6 \(km\)/\(h\)4 it appears to meet him at an angle of \(45^\circ \) with vertical. Find the speed of the rain.

1 \(3\sqrt 2 \;km/hr\)
2 \(2\sqrt 2 \;km/hr\)
3 \(4\sqrt 2 \;km/hr\)
4 \(6\;km/hr\)
PHXI04:MOTION IN A PLANE

362065 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 could hold her umbrella to safe herself from the rain?

1 \({\tan ^{ - 1}}(1)\)
2 \({\tan ^{ - 1}}(0.4)\)
3 \({\tan ^{ - 1}}(2.6)\)
4 \({\tan ^{ - 1}}(\sqrt 3 )\)
PHXI04:MOTION IN A PLANE

362066 A man running on a horizontal road at 8 \(km\)/\(h\). finds it is raining vertically. He increases his speed to 12 \(km\)/\(h\) and finds that the drops make angle \(30^\circ \) with the vertical. Find the speed of the rain with respect to road (ground).

1 \(4\sqrt 6 \,km/\sec \)
2 \(4\sqrt 7 \,km/hr\)
3 \(5\sqrt 7 \,km/hr\)
4 \(6\sqrt 7 \,km/hr\)
PHXI04:MOTION IN A PLANE

362067 A boy is running on a plane road with velocity ‘\(v\)’ with a long hollow tube in his hand. The water is falling vertically downwards with velocity \(u\). At what angle to the vertical he must incline the tube so that the water drops enter in it without touching its side?

1 \({\tan ^{ - 1}}\left( {\frac{v}{u}} \right)\)
2 \({\sin ^{ - 1}}\left( {\frac{v}{u}} \right)\)
3 \({\tan ^{ - 1}}\left( {\frac{u}{v}} \right)\)
4 \({\cos ^{ - 1}}\left( {\frac{u}{v}} \right)\)