Bradley maintains a heading due east with an air speed of 320km/h. After flying for 45 min, he finds himself over a town that he knows is 220 km east and 65 km north of his starting point. What is the wind velocity?

A sailor is stuck on a tropical island and emergency supplies are airlifted to her before the ship can come to her rescue. The supply plane is flying at an altitude of H = 200 ft and it is moving horizontally at a speed of 250 mph. How far before the island must the supply package be released if it is to just reach the island?

Ignoring air resistance, a helicopter is flying with a velocity of 90 m/s at an angle of 23 degrees above the horizontal. When the helicopter is 114 m directly above a dog that is standing on level ground, they dropped a crate. How far from the dog will the crate land?

The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.1 m/s in a direction 27° east of north relative to the Earth. It encounters a wind that has a velocity of 4.4 m/s in a direction of 49° south of west relative to the Earth.  1. What is the magnitude of the velocity of the wind relative to the water, in meters per second?   2. What is the angle of the velocity of the wind relative to the water degrees south of west?

A batter hits a fly ball with an initial velocity of 37 m/s at an angle of 32° from the horizontal. How much time does the outfielder have to get to the appropriate position to catch the ball?

In a time of 2.67 h, a bird flies a distance of 86.7 km in a direction 30.2 degrees east of north. Take north to be the positive y direction and east to be the positive x direction. Express your answers in km/h. What is the x component of the bird’s average velocity?  What is the y component of the bird’s average velocity?

A horizontal projectile is fired and it takes 4 s to reach the ground after being launched from the top of a hill. a) What is the height of the cliff? b) What horizontal distance does it travel from the launching point to the impact point? The initial speed is 20 m/s

After a constant acceleration of 2.31 m/s/s at 5.9 degrees above the +x-axis is applied by the motors of a boat for 9.3 seconds, the boat is moving at 38.55 m/s at 13.5 degrees above the +x-axis. What was the initial velocity of the boat? What is the initial angle from the positive x-axis?

A river 109.5 m wide flows toward the south at 35.0 m/min. A girl on the west bank wishes to reach the east bank in the least possible time. She can swim 109.5 m in still water in 1.10min. How long does it take her to cross the river? Also how far downstream does she travel? What is her velocity relative to land?find the magnitude and direction south of east? Also what is the total distance she traveled? And last in what direction must she swim if she wishes to travel straight across the river?

A roofer tosses a shingle off a 240.1 m high roof, giving it an initial horizontal velocity of 10 m/s. How far from the building does the shingle land? What is the acceleration of the shingle as it leaves the roof at 2m/s^2?