1. A small airplane flies with an air speed of 350 km/h. A novice pilot wishing to fly from Omaha to Minneapolis heads due North. The wind is blowing at 40 km/h in northeasterly direction. (a) What is the actual ground speed of the plane and (b) What is the actual heading direction of the plane?

2. An airplane is flying at 150 mi/h (air speed) in direction such that with a wind of 60.0 mi/h blowing from the east to west, the plane travels straight southward. (a) What must be the plane's heading direction? If this plane has to cover 300 miles in southward direction. How long does it take?

3. A 9.0 h trip is made an average velocity of 50 km/h. If the first half of the distance is covered at an average velocity of 45 km/h, What is the average velocity of the second half of the trip?