5. Having just earned your pilot’s license, you set out on your first solo fligh
ID: 1658621 • Letter: 5
Question
5. Having just earned your pilot’s license, you set out on your first solo flight across the ocean. But you’re no Amelia Earhart... so you decide to just go as far as Catalina Island. You leave Riverside Municipal airport and fly to Catalina Airport, a distance of 67.3 miles at a heading of 34.0O south of west. After spending the day on the island, you depart and fly 84.4 miles on heading of 28.9O south of east to Montgomery Field in San Diego (where you’ll visit some friends and impress them with your plane.) But eventually you have to get home. How far and what direction must you fly to get from Montgomery Field back to Riverside Municipal?
Answer: 80.5 miles, 77.0O north of west
6. In Problem 5 of Homework 1 you flew your plane from Montgomery Field in San Diego to the Riverside Municipal Airport. To compensate for a steady wind of in the east direction, you have to fly in a direction 67.0O north of west (i.e. this is the direction of your velocity relative to the air.) If the speed of your plane relative to the air is 115 mph, find (a) the speed of the wind, and (b) the time it takes you to fly from Montgomery Field to Riverside Municipal.
answer: 20.5 mph 44.5 minutes
Just need #6. Please draw a picture, label axes, define origin, and label coordinates of the initial and final pts!
Explanation / Answer
r = 80.5(-cos77i + sin77j)
r = -18.1i + 78.4j miles
v_plane wrt air = 115(-cos67i + sin67j) = -44.9i + 106 j
v_plane = (- 44.9 + v_wind)i + (106 + v_y)j
r = v_plane t
(- 44.9 + v_wind)t i + (106 )t j = -18.1i + 78.4j
along j vector,
106 t = 78.4
t = 0.74 hr
(A) along i direction,
(- 44.9 + v_wind)t = - 18.1
- 44.9 + v_wind = -24.2
v_wind = 20.5 mph ........Ans
(B) t = 0.74 hrs = 0.74 x60 = 44.4 mi. ,........Ans
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