18. O -13 points Sprecalc7 2.7.082. | My Notes • An airplane is flying at a spee

Question

18. O -13 points Sprecalc7 2.7.082. | My Notes • An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time t=0. 1 mi (a) Express the distances (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown. s(d) = (b) Express d (in miles) as a function of the time t (in hours) that the plane has flown. d(e) = (C) Use composition to express s as a function of t. S(t) = Need Help? Read it

Explanation / Answer

since the radar system and plane forms a right angled triangle

applying pythagorean theorem

a) s(d) = sqrt ( d^2 +1 )

b) distance = speed * time

d(t) = 500t

c) s(t) = sqrt [ (500 t )^2 +1 ]

s(t) = sqrt [ 250000 t^2 + 1 ]

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