General 2D Motion
PHXI04:MOTION IN A PLANE

361805 A group of particles are projected from a point on a smooth horizontal surface with same speed and different angles then all the particles after some arbitrary time will be on

1 Circular path
2 Parabolic path
3 Straight line path
4 Hyperbolic path
PHXI04:MOTION IN A PLANE

361806 The \(x\) and \(y\)-coordinates of a particle moving in a plane are given by \(x(t)=a \cos (p t)\) and \(y(t)=b \sin (p t)\), where \(a, b( < a)\) and \(p\) are positive constants of appropriate dimensions and \(t\) is time. Then, which of the following is not true?

1 The path of the particle is an ellipse.
2 Velocity and acceleration of the particle are perpendicular to each other at \(t=\dfrac{\pi}{2 p}\).
3 Acceleration of the particle is always. directed towards a fixed point.
4 Distance travelled by the particle in time interval between \(t=0\) and \(t=\dfrac{\pi}{2 p}\) is a.
PHXI04:MOTION IN A PLANE

361807 A body lying initially at point (3, 7) starts moving with a constant acceleration of \(4\hat i\). Its position after 3\(s\) is given by the coordinates:

1 \((7,18)\)
2 \((7,3)\)
3 \((3,7)\)
4 \((21,7)\)
PHXI04:MOTION IN A PLANE

361808 A particle starts from the origin at \(t = 0\,s\) with a velocity of \(10\hat j\,m{s^{ - 1}}\) and move in the \(x\)-\(y\) plane with a constant acceleration of \((8\hat i + 2\hat j)\,m{s^{ - 2}}\). At an instant when the \(x\)-coordinate of the particle is \(16m\), \(y\)-coordinate of the particle is:

1 \(16m\)
2 \(28m\)
3 \(36m\)
4 \(24m\)
PHXI04:MOTION IN A PLANE

361805 A group of particles are projected from a point on a smooth horizontal surface with same speed and different angles then all the particles after some arbitrary time will be on

1 Circular path
2 Parabolic path
3 Straight line path
4 Hyperbolic path
PHXI04:MOTION IN A PLANE

361806 The \(x\) and \(y\)-coordinates of a particle moving in a plane are given by \(x(t)=a \cos (p t)\) and \(y(t)=b \sin (p t)\), where \(a, b( < a)\) and \(p\) are positive constants of appropriate dimensions and \(t\) is time. Then, which of the following is not true?

1 The path of the particle is an ellipse.
2 Velocity and acceleration of the particle are perpendicular to each other at \(t=\dfrac{\pi}{2 p}\).
3 Acceleration of the particle is always. directed towards a fixed point.
4 Distance travelled by the particle in time interval between \(t=0\) and \(t=\dfrac{\pi}{2 p}\) is a.
PHXI04:MOTION IN A PLANE

361807 A body lying initially at point (3, 7) starts moving with a constant acceleration of \(4\hat i\). Its position after 3\(s\) is given by the coordinates:

1 \((7,18)\)
2 \((7,3)\)
3 \((3,7)\)
4 \((21,7)\)
PHXI04:MOTION IN A PLANE

361808 A particle starts from the origin at \(t = 0\,s\) with a velocity of \(10\hat j\,m{s^{ - 1}}\) and move in the \(x\)-\(y\) plane with a constant acceleration of \((8\hat i + 2\hat j)\,m{s^{ - 2}}\). At an instant when the \(x\)-coordinate of the particle is \(16m\), \(y\)-coordinate of the particle is:

1 \(16m\)
2 \(28m\)
3 \(36m\)
4 \(24m\)
PHXI04:MOTION IN A PLANE

361805 A group of particles are projected from a point on a smooth horizontal surface with same speed and different angles then all the particles after some arbitrary time will be on

1 Circular path
2 Parabolic path
3 Straight line path
4 Hyperbolic path
PHXI04:MOTION IN A PLANE

361806 The \(x\) and \(y\)-coordinates of a particle moving in a plane are given by \(x(t)=a \cos (p t)\) and \(y(t)=b \sin (p t)\), where \(a, b( < a)\) and \(p\) are positive constants of appropriate dimensions and \(t\) is time. Then, which of the following is not true?

1 The path of the particle is an ellipse.
2 Velocity and acceleration of the particle are perpendicular to each other at \(t=\dfrac{\pi}{2 p}\).
3 Acceleration of the particle is always. directed towards a fixed point.
4 Distance travelled by the particle in time interval between \(t=0\) and \(t=\dfrac{\pi}{2 p}\) is a.
PHXI04:MOTION IN A PLANE

361807 A body lying initially at point (3, 7) starts moving with a constant acceleration of \(4\hat i\). Its position after 3\(s\) is given by the coordinates:

1 \((7,18)\)
2 \((7,3)\)
3 \((3,7)\)
4 \((21,7)\)
PHXI04:MOTION IN A PLANE

361808 A particle starts from the origin at \(t = 0\,s\) with a velocity of \(10\hat j\,m{s^{ - 1}}\) and move in the \(x\)-\(y\) plane with a constant acceleration of \((8\hat i + 2\hat j)\,m{s^{ - 2}}\). At an instant when the \(x\)-coordinate of the particle is \(16m\), \(y\)-coordinate of the particle is:

1 \(16m\)
2 \(28m\)
3 \(36m\)
4 \(24m\)
PHXI04:MOTION IN A PLANE

361805 A group of particles are projected from a point on a smooth horizontal surface with same speed and different angles then all the particles after some arbitrary time will be on

1 Circular path
2 Parabolic path
3 Straight line path
4 Hyperbolic path
PHXI04:MOTION IN A PLANE

361806 The \(x\) and \(y\)-coordinates of a particle moving in a plane are given by \(x(t)=a \cos (p t)\) and \(y(t)=b \sin (p t)\), where \(a, b( < a)\) and \(p\) are positive constants of appropriate dimensions and \(t\) is time. Then, which of the following is not true?

1 The path of the particle is an ellipse.
2 Velocity and acceleration of the particle are perpendicular to each other at \(t=\dfrac{\pi}{2 p}\).
3 Acceleration of the particle is always. directed towards a fixed point.
4 Distance travelled by the particle in time interval between \(t=0\) and \(t=\dfrac{\pi}{2 p}\) is a.
PHXI04:MOTION IN A PLANE

361807 A body lying initially at point (3, 7) starts moving with a constant acceleration of \(4\hat i\). Its position after 3\(s\) is given by the coordinates:

1 \((7,18)\)
2 \((7,3)\)
3 \((3,7)\)
4 \((21,7)\)
PHXI04:MOTION IN A PLANE

361808 A particle starts from the origin at \(t = 0\,s\) with a velocity of \(10\hat j\,m{s^{ - 1}}\) and move in the \(x\)-\(y\) plane with a constant acceleration of \((8\hat i + 2\hat j)\,m{s^{ - 2}}\). At an instant when the \(x\)-coordinate of the particle is \(16m\), \(y\)-coordinate of the particle is:

1 \(16m\)
2 \(28m\)
3 \(36m\)
4 \(24m\)