General 2D Motion
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PHXI04:MOTION IN A PLANE

361826 The \(x\) and \(y\) component of velocities of particle are \(\frac{{dy}}{{dt}} = {C_1}t\;\& \frac{{dy}}{{dt}} = - {C_2}t.\) The trajectory of the particle is (Initially the particle is at the origin)

1 \(x = - \frac{{{C_1}}}{{{C_2}}}y\)
2 \(x = \frac{{{C_1}}}{{{C_2}}}y\)
3 \(x = y\)
4 \({x^2} = - {y^2}\)
PHXI04:MOTION IN A PLANE

361827 A car travels 6 \(km\) towards north at an angle of \(45^\circ \) to the east and then travels a distance of 4 \(km\) towards west at an angle \(45^\circ \) to north. How far is the point from the starting point? What angle does the straight line joining its intial and final position makes with the east?

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

361828 Statement A :
A projectile should have two velocity component in two mutually perpendicular directions.
Statement B :
A body is said to be a projectile if it has motion in two dimensions.

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

361829 A person moves 5\(m\) along north and \(10\sqrt 2 \,m\) along north east. Find the displacement of the person.

1 \(\sqrt {225} \)
2 \(\sqrt {125} \)
3 \(10\)
4 \(\sqrt {325} \)
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PHXI04:MOTION IN A PLANE

361826 The \(x\) and \(y\) component of velocities of particle are \(\frac{{dy}}{{dt}} = {C_1}t\;\& \frac{{dy}}{{dt}} = - {C_2}t.\) The trajectory of the particle is (Initially the particle is at the origin)

1 \(x = - \frac{{{C_1}}}{{{C_2}}}y\)
2 \(x = \frac{{{C_1}}}{{{C_2}}}y\)
3 \(x = y\)
4 \({x^2} = - {y^2}\)
PHXI04:MOTION IN A PLANE

361827 A car travels 6 \(km\) towards north at an angle of \(45^\circ \) to the east and then travels a distance of 4 \(km\) towards west at an angle \(45^\circ \) to north. How far is the point from the starting point? What angle does the straight line joining its intial and final position makes with the east?

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

361828 Statement A :
A projectile should have two velocity component in two mutually perpendicular directions.
Statement B :
A body is said to be a projectile if it has motion in two dimensions.

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

361829 A person moves 5\(m\) along north and \(10\sqrt 2 \,m\) along north east. Find the displacement of the person.

1 \(\sqrt {225} \)
2 \(\sqrt {125} \)
3 \(10\)
4 \(\sqrt {325} \)
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PHXI04:MOTION IN A PLANE

361826 The \(x\) and \(y\) component of velocities of particle are \(\frac{{dy}}{{dt}} = {C_1}t\;\& \frac{{dy}}{{dt}} = - {C_2}t.\) The trajectory of the particle is (Initially the particle is at the origin)

1 \(x = - \frac{{{C_1}}}{{{C_2}}}y\)
2 \(x = \frac{{{C_1}}}{{{C_2}}}y\)
3 \(x = y\)
4 \({x^2} = - {y^2}\)
PHXI04:MOTION IN A PLANE

361827 A car travels 6 \(km\) towards north at an angle of \(45^\circ \) to the east and then travels a distance of 4 \(km\) towards west at an angle \(45^\circ \) to north. How far is the point from the starting point? What angle does the straight line joining its intial and final position makes with the east?

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

361828 Statement A :
A projectile should have two velocity component in two mutually perpendicular directions.
Statement B :
A body is said to be a projectile if it has motion in two dimensions.

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

361829 A person moves 5\(m\) along north and \(10\sqrt 2 \,m\) along north east. Find the displacement of the person.

1 \(\sqrt {225} \)
2 \(\sqrt {125} \)
3 \(10\)
4 \(\sqrt {325} \)
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PHXI04:MOTION IN A PLANE

361826 The \(x\) and \(y\) component of velocities of particle are \(\frac{{dy}}{{dt}} = {C_1}t\;\& \frac{{dy}}{{dt}} = - {C_2}t.\) The trajectory of the particle is (Initially the particle is at the origin)

1 \(x = - \frac{{{C_1}}}{{{C_2}}}y\)
2 \(x = \frac{{{C_1}}}{{{C_2}}}y\)
3 \(x = y\)
4 \({x^2} = - {y^2}\)
PHXI04:MOTION IN A PLANE

361827 A car travels 6 \(km\) towards north at an angle of \(45^\circ \) to the east and then travels a distance of 4 \(km\) towards west at an angle \(45^\circ \) to north. How far is the point from the starting point? What angle does the straight line joining its intial and final position makes with the east?

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

361828 Statement A :
A projectile should have two velocity component in two mutually perpendicular directions.
Statement B :
A body is said to be a projectile if it has motion in two dimensions.

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

361829 A person moves 5\(m\) along north and \(10\sqrt 2 \,m\) along north east. Find the displacement of the person.

1 \(\sqrt {225} \)
2 \(\sqrt {125} \)
3 \(10\)
4 \(\sqrt {325} \)
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