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A plane takes off and climbs to 3 000 m in five minutes at an angle...

A plane takes off and climbs to 3 000 m in five minutes at an angle of 8.28 degrees. When it reaches 3 000 m, the plane levels out and adjusts to its constant cruising speed of 500 km/h. At this height, there is a wind (a "jet stream") blowing at 100 km/h 30 degrees East of North.

a) What is the magnitude of the plane's acceleration during the first five minutes of the flight?

b) After reaching its cruising speed, in what direction should the plane fly in order to keep travelling East?

c) After reaching cruising speed, the plane still has 1200 km to travel (due East). How long does that part of the journey take?

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