General 2D Motion
PHXI04:MOTION IN A PLANE

361830 A particle starting from the origin (0,0) moves in a straight line in the \((x,y)\) plane. Its co-ordinates at a later time are \((\sqrt 3 ,3).\) The path of the particle makes with the \(x\)- axis an angle of

1 \(60^\circ \)
2 \(45^\circ \)
3 \(30^\circ \)
4 \(0^\circ \)
PHXI04:MOTION IN A PLANE

361831 Statement A :
A projectile that travels a parabolic path show deviation from its idealised trajectory in the presence of air resistance.
Statement B :
Air resistance affect the motion of the projectile.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361832 A particle moves in the \(x\)-\(y\) plane according to the law \(x = kt,y = kt(1 - \alpha t),\), where \(k\) and \(a\) are positive constants and \(t\) is time. The trajectory of the particle is

1 \(y = kx\)
2 \(y = x - \frac{{\alpha {x^2}}}{k}\)
3 \(y = \frac{{ - \alpha {x^2}}}{k}\)
4 \(y = \alpha x\)
PHXI04:MOTION IN A PLANE

361833 A car travels \(6\;km\) towards the north at an angle \(45^{\circ}\) to the east and then travels distance of \(4\;km\) towards the north at an angle \(135^{\circ}\) to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final positions makes with the east?

1 \(\sqrt {50} \;km{\mkern 1mu} \,{\mkern 1mu} {\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
2 \(10\;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
3 \(\sqrt {52} \;km\,\,{\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
4 \(\sqrt {52} \;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
PHXI04:MOTION IN A PLANE

361834 A person moves 30 \(m\) north and then 20 \(m\) towards east and finally \(30\sqrt 2 \,m\) in south-west direction. The displacement of the person from the origin will be

1 10 \(m\) long south
2 Zero
3 10 \(m\) along north
4 10 \(m\) along west
PHXI04:MOTION IN A PLANE

361830 A particle starting from the origin (0,0) moves in a straight line in the \((x,y)\) plane. Its co-ordinates at a later time are \((\sqrt 3 ,3).\) The path of the particle makes with the \(x\)- axis an angle of

1 \(60^\circ \)
2 \(45^\circ \)
3 \(30^\circ \)
4 \(0^\circ \)
PHXI04:MOTION IN A PLANE

361831 Statement A :
A projectile that travels a parabolic path show deviation from its idealised trajectory in the presence of air resistance.
Statement B :
Air resistance affect the motion of the projectile.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361832 A particle moves in the \(x\)-\(y\) plane according to the law \(x = kt,y = kt(1 - \alpha t),\), where \(k\) and \(a\) are positive constants and \(t\) is time. The trajectory of the particle is

1 \(y = kx\)
2 \(y = x - \frac{{\alpha {x^2}}}{k}\)
3 \(y = \frac{{ - \alpha {x^2}}}{k}\)
4 \(y = \alpha x\)
PHXI04:MOTION IN A PLANE

361833 A car travels \(6\;km\) towards the north at an angle \(45^{\circ}\) to the east and then travels distance of \(4\;km\) towards the north at an angle \(135^{\circ}\) to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final positions makes with the east?

1 \(\sqrt {50} \;km{\mkern 1mu} \,{\mkern 1mu} {\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
2 \(10\;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
3 \(\sqrt {52} \;km\,\,{\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
4 \(\sqrt {52} \;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
PHXI04:MOTION IN A PLANE

361834 A person moves 30 \(m\) north and then 20 \(m\) towards east and finally \(30\sqrt 2 \,m\) in south-west direction. The displacement of the person from the origin will be

1 10 \(m\) long south
2 Zero
3 10 \(m\) along north
4 10 \(m\) along west
PHXI04:MOTION IN A PLANE

361830 A particle starting from the origin (0,0) moves in a straight line in the \((x,y)\) plane. Its co-ordinates at a later time are \((\sqrt 3 ,3).\) The path of the particle makes with the \(x\)- axis an angle of

1 \(60^\circ \)
2 \(45^\circ \)
3 \(30^\circ \)
4 \(0^\circ \)
PHXI04:MOTION IN A PLANE

361831 Statement A :
A projectile that travels a parabolic path show deviation from its idealised trajectory in the presence of air resistance.
Statement B :
Air resistance affect the motion of the projectile.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361832 A particle moves in the \(x\)-\(y\) plane according to the law \(x = kt,y = kt(1 - \alpha t),\), where \(k\) and \(a\) are positive constants and \(t\) is time. The trajectory of the particle is

1 \(y = kx\)
2 \(y = x - \frac{{\alpha {x^2}}}{k}\)
3 \(y = \frac{{ - \alpha {x^2}}}{k}\)
4 \(y = \alpha x\)
PHXI04:MOTION IN A PLANE

361833 A car travels \(6\;km\) towards the north at an angle \(45^{\circ}\) to the east and then travels distance of \(4\;km\) towards the north at an angle \(135^{\circ}\) to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final positions makes with the east?

1 \(\sqrt {50} \;km{\mkern 1mu} \,{\mkern 1mu} {\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
2 \(10\;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
3 \(\sqrt {52} \;km\,\,{\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
4 \(\sqrt {52} \;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
PHXI04:MOTION IN A PLANE

361834 A person moves 30 \(m\) north and then 20 \(m\) towards east and finally \(30\sqrt 2 \,m\) in south-west direction. The displacement of the person from the origin will be

1 10 \(m\) long south
2 Zero
3 10 \(m\) along north
4 10 \(m\) along west
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

361830 A particle starting from the origin (0,0) moves in a straight line in the \((x,y)\) plane. Its co-ordinates at a later time are \((\sqrt 3 ,3).\) The path of the particle makes with the \(x\)- axis an angle of

1 \(60^\circ \)
2 \(45^\circ \)
3 \(30^\circ \)
4 \(0^\circ \)
PHXI04:MOTION IN A PLANE

361831 Statement A :
A projectile that travels a parabolic path show deviation from its idealised trajectory in the presence of air resistance.
Statement B :
Air resistance affect the motion of the projectile.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361832 A particle moves in the \(x\)-\(y\) plane according to the law \(x = kt,y = kt(1 - \alpha t),\), where \(k\) and \(a\) are positive constants and \(t\) is time. The trajectory of the particle is

1 \(y = kx\)
2 \(y = x - \frac{{\alpha {x^2}}}{k}\)
3 \(y = \frac{{ - \alpha {x^2}}}{k}\)
4 \(y = \alpha x\)
PHXI04:MOTION IN A PLANE

361833 A car travels \(6\;km\) towards the north at an angle \(45^{\circ}\) to the east and then travels distance of \(4\;km\) towards the north at an angle \(135^{\circ}\) to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final positions makes with the east?

1 \(\sqrt {50} \;km{\mkern 1mu} \,{\mkern 1mu} {\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
2 \(10\;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
3 \(\sqrt {52} \;km\,\,{\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
4 \(\sqrt {52} \;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
PHXI04:MOTION IN A PLANE

361834 A person moves 30 \(m\) north and then 20 \(m\) towards east and finally \(30\sqrt 2 \,m\) in south-west direction. The displacement of the person from the origin will be

1 10 \(m\) long south
2 Zero
3 10 \(m\) along north
4 10 \(m\) along west
PHXI04:MOTION IN A PLANE

361830 A particle starting from the origin (0,0) moves in a straight line in the \((x,y)\) plane. Its co-ordinates at a later time are \((\sqrt 3 ,3).\) The path of the particle makes with the \(x\)- axis an angle of

1 \(60^\circ \)
2 \(45^\circ \)
3 \(30^\circ \)
4 \(0^\circ \)
PHXI04:MOTION IN A PLANE

361831 Statement A :
A projectile that travels a parabolic path show deviation from its idealised trajectory in the presence of air resistance.
Statement B :
Air resistance affect the motion of the projectile.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361832 A particle moves in the \(x\)-\(y\) plane according to the law \(x = kt,y = kt(1 - \alpha t),\), where \(k\) and \(a\) are positive constants and \(t\) is time. The trajectory of the particle is

1 \(y = kx\)
2 \(y = x - \frac{{\alpha {x^2}}}{k}\)
3 \(y = \frac{{ - \alpha {x^2}}}{k}\)
4 \(y = \alpha x\)
PHXI04:MOTION IN A PLANE

361833 A car travels \(6\;km\) towards the north at an angle \(45^{\circ}\) to the east and then travels distance of \(4\;km\) towards the north at an angle \(135^{\circ}\) to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final positions makes with the east?

1 \(\sqrt {50} \;km{\mkern 1mu} \,{\mkern 1mu} {\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
2 \(10\;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
3 \(\sqrt {52} \;km\,\,{\rm{and}}\,\,{\tan ^{ - 1}}(5)\)
4 \(\sqrt {52} \;km\,\,{\rm{and }}\,\,{\tan ^{ - 1}}(\sqrt 5 )\)
PHXI04:MOTION IN A PLANE

361834 A person moves 30 \(m\) north and then 20 \(m\) towards east and finally \(30\sqrt 2 \,m\) in south-west direction. The displacement of the person from the origin will be

1 10 \(m\) long south
2 Zero
3 10 \(m\) along north
4 10 \(m\) along west