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A typical parachute jump involves individuals exiting an aircraft anywhere from 1 000 to 4 000 metres altitude. When the parachute opens (usually fully inflated by 800 metres), the descent of the jumper decreases from a terminal velocity of approximately 190 kilometres per hour to approximately 30 kilometres per hour.
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Sam is watching his friend Elli descend during a jump. With the toggles on her parachute, Elli is controlling a portion of her descent such that she approaches the landing zone vertically. Sam is 40 m from the landing zone. Determine the rate, in radians per second, at which the angle of elevation from Sam to Elli is decreasing when Elli is 30 m above the landing zone.
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