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Solve a comprehensive free fall kinematics problem involving a diver jumping from a diving board using fundamental physics principles. Work through a step-by-step analysis of a swimmer who bounces straight up from a diving board with an initial velocity of 4.00 m/s from a height of 1.80 m above the pool. Calculate the total time her feet remain in the air, determine her maximum height above the diving board, and find her velocity when she hits the water. Apply kinematic equations for motion under constant acceleration due to gravity, breaking down the motion into upward and downward phases. Practice essential problem-solving techniques for projectile motion scenarios commonly encountered in introductory college physics courses, specifically addressing OpenStax College Physics Chapter 2 Problem 46.
