Motion In A Plane

Physics
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A particle projected from O and moving freely under gravity strikes the horizontal plane passing through O at a distance R from the starting point O as shown in the figure. Then

A
there will be two angles of projection if
B
the two possible angles of projection are complementary
C
the product of the possible times of flight from O to A is
D
there will be more than two angles of projection if
Hard
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Velocity of a particle varies as under the effect of a single variable force. Then

A
force on the particle is conservative
B
acceleration of the particle is ( )
C
particle moves with constant speed
D
possible path of the particle is only a circle
Hard
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For a particle performing uniform circular motion, choose the correct statement(s) from the following:

A
Magnitude of particle velocity (speed) remains constant.
B
Particle velocity remains directed perpendicular to radius vector.
C
Direction of acceleration keeps changing as particle moves.
D
Angular momentum is constant in magnitude but directionkeeps changing.
Hard
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What is the tangential acceleration?

A
B
C
D
Hard
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Two particles move on a circular path (one just inside and the other just outside) with angular velocities and starting from the same point. Then:

A
they cross each other at regular intervals of time when their angular velocities are directed opposite to each other
B
they cross each other at points on the path subtending an angle of 60 at the centre if their angular velocities are directed opposite to each other
C
they cross at intervals of time if their angular velocities are directed opposite to each other
D
they cross each other at points on the path subtending at the centre if their angular velocities are similar to each other
Hard
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