1. Projectile Motion and Maximum Height | Calculating the initial velocity and maximum height of a projectile given two horizontal distance conditions.

2. Circular Motion and Tension in a String | Finding the tension in a string when a particle moves along a circular path in a vertical plane with given initial conditions.

3. Simple Harmonic Motion and Elastic Strings | Determining the maximum displacement and speed of a particle oscillating vertically on an elastic string.

4. Centre of Mass of a Composite Body | Finding the vertical position of the centre of mass of a solid with a cylindrical section removed.

5. Variable Force and Motion Equations | Expressing displacement as a function of time and finding the force acting on a particle under given motion conditions.

6. Two-Body Circular Motion System | Calculating the angular speed and tension in strings for two particles moving in horizontal circles.

7. Impact and Energy Conservation | Determining the coefficient of restitution for a projectile impacting an inclined plane and verifying motion constraints.