(5) A soccer ball is kicked from the point (0,0,0) with an initial velocity of (0, 80, 80) ft/s. The spin on the ball produces an acceleration of (1.2,0,0) ft/s². (a) Find the velocity and position vectors for £20. (b) Determine the time of flight. (The soccer ball stops when it lands on the flat and horizontal ground.) (c) Determine the maximum height attained by the soccer ball. For this problem, assume that the gravitational acceleration constant is 32 ft/s².

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