1. Work-Energy Principle: Use the work-energy principle to find the speed of the particle at A when it is released from B. 2. Vehicle Motion: Find the power P and resistance R for a vehicle moving up and down a hill, given the acceleration and engine power specifications. 3. Impulse and Speed: Determine the coefficient of restitution between two particles in a collision, and calculate the final velocity after the collision. 4. Projectile Motion: Solve for the height and distance traveled by a particle under gravity, using energy principles and velocity equations.