The velocity of an airplane flying into a headwind is given by v(t) = 30 (16 -t) mi/hr for 0sts3 hr. Assume that s(0) = 0. a. Determine the position function for 0sts3. b. How far does the airplane travel in the first 2 hr? c. How far has the airplane traveled at the instant its velocity reaches 450 mi/hr? ..... a. Determine the position function for 0sts3. s(t) = b. In the first 2 hr, the airplane travels mi. (Simplify your answer.) c. When the velocity reaches 450 mi/hr, the airplane has traveled mi. (Do not round until the final answer. Then round to two decimal places as needed.)

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