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This lecture covers the application of Newton's laws to solve problems related to ballistics and forces equilibrium. It includes examples such as projectile motion across a river and the analysis of forces acting on objects. The instructor emphasizes the importance of understanding the given data, identifying known quantities, and selecting appropriate laws of physics. The lecture also discusses the process of establishing force balances, writing equations of motion, and integrating to obtain the trajectory. Practical examples, like determining the time of impact and the distance traveled by a projectile, are used to illustrate the concepts.