Mathematics 9709,41 Oct Nov 2024

1. Connected Particles & Tension | Pulley System Dynamics – Calculating acceleration and tension in a two-mass pulley system under gravity.

2. Energy Methods & Frictional Forces | Motion on an Inclined Plane – Using energy conservation to find velocity and computing frictional force from energy loss.

3. Equilibrium of Forces | Resolving Coplanar Forces – Finding unknown force magnitude and direction to maintain static equilibrium.

4. Velocity-Time Graphs & Motion Analysis | Bus Journey Calculation – Sketching a velocity-time graph, deriving expressions for motion phases, and solving for acceleration.

5. Projectile Motion & Collision | Vertical Motion with Time Delay – Computing collision time, impact height, and post-collision return time using kinematic equations.

6. Inclined Plane & Friction | Equilibrium with Horizontal Force – Finding the minimum force required to maintain equilibrium on a rough inclined plane.

7. Power, Resistance & Motion | Maximum Acceleration & Speed on an Incline – Computing power-limited acceleration and the highest achievable speed on an incline.

8. Variable Acceleration & Distance Calculation | Motion with Time-Dependent Acceleration – Determining distance traveled between rest points using integration of acceleration.