Mathematics 9709,42 Oct Nov 2024

1. Kinematics & Velocity-Time Graphs | Finding velocity, total distance, and time duration from a piecewise velocity-time graph.

2. Work, Energy & Inclined Planes | Calculating final speed of a block sliding down a rough inclined plane, considering work done against resistance.

3. Power, Resistance & Motion | Determining constant resistance acting on a cyclist and calculating the steady speed while ascending a hill.

4. Equilibrium of Particles & Tension | Analyzing a system of suspended particles, finding tension in connecting strings, and solving for unknown angles.

5. Collisions & Vertical Motion | Computing velocities before impact, determining post-collision speed of falling particles, and solving for final ground impact speed.

6. Variable Acceleration & Integration | Deriving velocity functions from given acceleration equations and finding total distance traveled within a time interval.

7. Pulley Systems & Friction | Finding tension and acceleration in a two-particle pulley system on an inclined plane, calculating total distance traveled before coming to rest.