Chapter 11.3, Problem 1QR

An airplane takes of heading east at a speed of 459 miles per hour at an angle of 15 degrees with the horizon. What are the magnitudes if the horizontal AND vertical components of the speed vector?

The current in a river is pushing a boat in direction 24 degree north of east with a speed of 16 km/hr. The wind is pushing the same boat in a direction 81 degree south of east with a speed of 7 km/hr. Find the velocity vector of the boat's engine (relative to the water) if the boat actually moves due east at a speed of 50 km/hr relative to the ground. Find the engine speed to push the boat and its direction.

An airplane is traveling due north at 600 mph. The wind is blowing southwest at 20 mph. The airplane's actual vector as measured from the ground will be given by Vg =Va+Vw What is the airplane's speed as measured from the ground? Round to the nearest mile per hour.