Relative Motion in Two Dimensions
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

362072 A man running along a straight road with uniform velocity \(\overrightarrow u = u\hat i\) feels that the rain is falling vertically down along \( - \hat j\). If he doubles his speed, he finds that the rain is coming at an angle \(\theta \) with the vertical. The velocity of the rain with respect to the ground is

1 \(u\hat i - \frac{u}{{\tan \theta }}\hat j\)
2 \(u\hat i - u\hat j\)
3 \(u\hat i + u\sin \theta \hat j\)
4 \(2u\hat i + \cot \theta \hat j\)
PHXI04:MOTION IN A PLANE

362073 Rain is falling vertically with a speed of \(12\,m{s^{ - 1}}\). A woman rides a bicycle with a speed of \(12\,m{s^{ - 1}}\) in east to west direction. What is the direction in which she should hold her umbrella?

1 \(30^\circ \) towards West
2 \(45^\circ \) towards West
3 \(30^\circ \) towards East
4 \(45^\circ \) towards East
PHXI04:MOTION IN A PLANE

362074 Assertion :
Rain is falling vertically with a certain speed. A boy can hold an umbrella by riding a bicycle does not get wet.
Reason :
The boy is holding his umbrella (at some angle) with the vertical.

1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI04:MOTION IN A PLANE

362075 A man standing on a road has to hold his umbrella at \(30^\circ \) with the vertical to keep the rain away. He throws the umbrella and starts running at 10 \(km\)/\(h\) he finds that rain drops are hitting his head vertically. Find the speed of rain drops with respect to the ground.

1 \(30\,\,km/hr\)
2 \(20\,\,km/hr\)
3 \(15\,km/hr\)
4 \(25\,km/hr\)
PHXI04:MOTION IN A PLANE

362072 A man running along a straight road with uniform velocity \(\overrightarrow u = u\hat i\) feels that the rain is falling vertically down along \( - \hat j\). If he doubles his speed, he finds that the rain is coming at an angle \(\theta \) with the vertical. The velocity of the rain with respect to the ground is

1 \(u\hat i - \frac{u}{{\tan \theta }}\hat j\)
2 \(u\hat i - u\hat j\)
3 \(u\hat i + u\sin \theta \hat j\)
4 \(2u\hat i + \cot \theta \hat j\)
PHXI04:MOTION IN A PLANE

362073 Rain is falling vertically with a speed of \(12\,m{s^{ - 1}}\). A woman rides a bicycle with a speed of \(12\,m{s^{ - 1}}\) in east to west direction. What is the direction in which she should hold her umbrella?

1 \(30^\circ \) towards West
2 \(45^\circ \) towards West
3 \(30^\circ \) towards East
4 \(45^\circ \) towards East
PHXI04:MOTION IN A PLANE

362074 Assertion :
Rain is falling vertically with a certain speed. A boy can hold an umbrella by riding a bicycle does not get wet.
Reason :
The boy is holding his umbrella (at some angle) with the vertical.

1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI04:MOTION IN A PLANE

362075 A man standing on a road has to hold his umbrella at \(30^\circ \) with the vertical to keep the rain away. He throws the umbrella and starts running at 10 \(km\)/\(h\) he finds that rain drops are hitting his head vertically. Find the speed of rain drops with respect to the ground.

1 \(30\,\,km/hr\)
2 \(20\,\,km/hr\)
3 \(15\,km/hr\)
4 \(25\,km/hr\)
PHXI04:MOTION IN A PLANE

362072 A man running along a straight road with uniform velocity \(\overrightarrow u = u\hat i\) feels that the rain is falling vertically down along \( - \hat j\). If he doubles his speed, he finds that the rain is coming at an angle \(\theta \) with the vertical. The velocity of the rain with respect to the ground is

1 \(u\hat i - \frac{u}{{\tan \theta }}\hat j\)
2 \(u\hat i - u\hat j\)
3 \(u\hat i + u\sin \theta \hat j\)
4 \(2u\hat i + \cot \theta \hat j\)
PHXI04:MOTION IN A PLANE

362073 Rain is falling vertically with a speed of \(12\,m{s^{ - 1}}\). A woman rides a bicycle with a speed of \(12\,m{s^{ - 1}}\) in east to west direction. What is the direction in which she should hold her umbrella?

1 \(30^\circ \) towards West
2 \(45^\circ \) towards West
3 \(30^\circ \) towards East
4 \(45^\circ \) towards East
PHXI04:MOTION IN A PLANE

362074 Assertion :
Rain is falling vertically with a certain speed. A boy can hold an umbrella by riding a bicycle does not get wet.
Reason :
The boy is holding his umbrella (at some angle) with the vertical.

1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI04:MOTION IN A PLANE

362075 A man standing on a road has to hold his umbrella at \(30^\circ \) with the vertical to keep the rain away. He throws the umbrella and starts running at 10 \(km\)/\(h\) he finds that rain drops are hitting his head vertically. Find the speed of rain drops with respect to the ground.

1 \(30\,\,km/hr\)
2 \(20\,\,km/hr\)
3 \(15\,km/hr\)
4 \(25\,km/hr\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

362072 A man running along a straight road with uniform velocity \(\overrightarrow u = u\hat i\) feels that the rain is falling vertically down along \( - \hat j\). If he doubles his speed, he finds that the rain is coming at an angle \(\theta \) with the vertical. The velocity of the rain with respect to the ground is

1 \(u\hat i - \frac{u}{{\tan \theta }}\hat j\)
2 \(u\hat i - u\hat j\)
3 \(u\hat i + u\sin \theta \hat j\)
4 \(2u\hat i + \cot \theta \hat j\)
PHXI04:MOTION IN A PLANE

362073 Rain is falling vertically with a speed of \(12\,m{s^{ - 1}}\). A woman rides a bicycle with a speed of \(12\,m{s^{ - 1}}\) in east to west direction. What is the direction in which she should hold her umbrella?

1 \(30^\circ \) towards West
2 \(45^\circ \) towards West
3 \(30^\circ \) towards East
4 \(45^\circ \) towards East
PHXI04:MOTION IN A PLANE

362074 Assertion :
Rain is falling vertically with a certain speed. A boy can hold an umbrella by riding a bicycle does not get wet.
Reason :
The boy is holding his umbrella (at some angle) with the vertical.

1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI04:MOTION IN A PLANE

362075 A man standing on a road has to hold his umbrella at \(30^\circ \) with the vertical to keep the rain away. He throws the umbrella and starts running at 10 \(km\)/\(h\) he finds that rain drops are hitting his head vertically. Find the speed of rain drops with respect to the ground.

1 \(30\,\,km/hr\)
2 \(20\,\,km/hr\)
3 \(15\,km/hr\)
4 \(25\,km/hr\)