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Topics related to the given problem:
Dynamics of Rigid Bodies, Kinetics of a Particle, Equation of Motion: Normal and Tangential Coordinates, Kinematics, etc.
Thank you for your help.
Extracted text: A 10-kg projectile is fired vertically upward from the ground, with an initial velocity of 50 m/s, Fig. 13–7a. Determine the maximum height to which it will travel if (a) atmospheric resistance is neglected; and (b) atmospheric resistance is measured as F, = (0.01v²) N, where v is the speed of the projectile at any instant, measured in m/s.