PHYSICS HELP PLEASE!?
A plane is flying from Toronto due west to Winnipeg, a distance of 1,124km, at an average cruising speed of 275km/hr. There is a 35.5 km/hr wind blowing from the NW for the entire trip.
i) What direction will the plane need to head in order to maintain a course directly west?
ii) How fast will the plane travel in the westerly direction across the ground?
iii) How long will the flight take to get to Winnipeg?
- NCSLv 73 years agoFavorite Answer
i) The plane will need to create a northern component in its windspeed that will counteract the southern component of the wind's speed:
275km/h * sinΘ = 35.5km/h * sin45º
sinΘ = 0.0913
Θ = 5.24º N of West
ii) V = 275km/h * cos5.24º - 35.5km/h * cos45º = 249 km/h
iii) t = d / V = 1124km / 249km/h = 4.52 h
Hope this helps!