When a rocket reaches an altitude of 40 m it begins to travel along the parabolic path - 12-73

12.5 Curvilinear Motion: Rectangular Components 12–73. When a rocket reaches an altitude of 40 m it begins to travel along the parabolic path (y - 40)^2 = 160x, where the coordinates are measured in meters. If the component of velocity in the vertical direction is constant at vy = 180 m/s, determine the magnitudes of the rocket’s velocity and acceleration when it reaches an altitude of 80 m. All problems from Engineering Mechanics: Dynamics Fourteenth Edition in SI Units by R. C. Hibbeler.