Consider a pole vaulter's fall as a projectile once he releases the pole. The pole has a lake of 15.8 feet and once the athlete releases the pole they will find a cushion 2 feet high, 10 feet wide and 16 feet long, which protects them in the fall. If an athlete jumps off the pole when he was 14 ft above the ground with a speed of 15 ft/s at an angle of 60 degrees, determine if he lands on the mattress, show the calculations, and answer the question Suppose there is also a drone above the athlete registering the jump. What would be the minimum height you can register without touching this athlete?

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