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A plane has an airspeed of 235km/h. It takes off and wants to fly to a city that is directly north of it at a distance of 455km. The wind is blowing to the east east at 42km/h. Find a) The course that the pilot must steer in order to fly directly north to the city and b) the time it will take to arrive at the city.

For a, I broke it up into the vector components; 42i + 235j and took the absolute value of it to get 238.72km/h.... and stated that the plane must go at this speed to the northeast.

For b) I used the formula s = ut and did 455 = 238.72*t and solved for t.

Are my methods correct or did I miss something? Thanks.

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# Physics plane speed problem

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