An airplane flies from Boston to San Francisco (a distance of 5000km) in the mor

Question

An airplane flies from Boston to San Francisco (a distance of 5000km) in the morning, then immediately returns to Boston. The speedof the plane relative to the air is 245m/s. The wind is blowing at 40 m/s fromwest to east, so it is "in the face" of the plane on the way to SanFrancisco and it is a tail wind on the way back. (a) What is the average speed of the planerelative to the ground on the way to San Francisco?
1 m/s

(b) What is the average speed relative to the ground on the wayback to Boston?
2 m/s

(c) What is the average speed for the entire trip?
3 m/s


Thank you so much for any help, it would begreatly appreciated. (a) What is the average speed of the planerelative to the ground on the way to San Francisco?
1 m/s

(b) What is the average speed relative to the ground on the wayback to Boston?
2 m/s

(c) What is the average speed for the entire trip?
3 m/s


Thank you so much for any help, it would begreatly appreciated.

Explanation / Answer

. 01.   |V1| = ground speed from Boston toSan Francisco (East-to-West) 02.   |V1| = 245 m/s - 40 m/s =205 m/s 03.   |V2| = ground speed from SanFrancisco to Boston (West-to-East) 04.   |V2| = 245 m/s + 40 m/s =285 m/s 05.   |VTrip| = averageround-trip ground speed between Boston and SanFrancisco 06.   |VTrip| = (|V1| + |V2| )/2 = ( 205 m/s + 285 m/s)/2 = 245m/s .      Seecorrections in clarification response. -- Gort

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