Velocity and Acceleration - Particle Motion

Master particle motion problems in calculus by working through comprehensive examples involving velocity, acceleration, and position functions. Learn to find acceleration from velocity functions, determine when particles are at rest or changing direction, identify periods of speeding up versus slowing down, calculate position using accumulation methods, and distinguish between total distance and displacement. Focus on essential problem-solving techniques including clear setup procedures, sign analysis, and proper interpretation of results that are crucial for Calculus 1 success and frequently tested on AP Calculus AB and BC free response questions.