Derive the equations of motion for a particle (a) falling vertically (b) projected vertically.

Derive equations of motion for a particle moving in a plane and show that the motion can be resolved in two independent motions in mutually perpendicular directions.

Derive equations of motion for a particle moving in a plane and show that the motion can be resolved in two independent motions in mutually perpendicular directions.

A ball falls down vertically. Its motion is :

Derive an expression for difference in tensions at highest and lowest point for a particle performing vertical circular motion.