An airplane maintains a speed of 615 km/h relative to the air it is flying through as it makes a trip to a city 696 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.) (a) What time interval is required for the trip if the plane flies through a headwind blowing at 34.5 km/h toward the south?  h = (b) What time interval is required if there is a tailwind with the same speed?  h = (c) What time interval is required if there is a crosswind blowing at 34.5 km/h to the east relative to the ground?

A bird watcher meanders through the woods, walking 0.849 km due east, 0.723 km due south, and 4.43 km in a direction 72.8° north of west. The time required for this trip is 1.725 h. Determine the magnitudes of the bird watcher's (a) displacement and (b) average velocity. (a) Number i (b) Number Units Units N E

After a constant acceleration of 3.52 m/s/s at 9.6 degrees above the +x-axis is applied by the motors of a boat for 7.05 seconds, the boat is moving at 96.8 m/s at 34 degrees above the +x-axis. What was the displacement of the boat during this time? What is the angle from the positive x-axis?

A person walks in the following pattern: 3.0 km north, then 2.1 km west, and finally 5.2 km south. (a) How far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point?

A velocity can be negative based on your coordinate system. Is it possible to have a negative speed? Why/why not?

For this problem, you can think of the jet stream as a river of air. Across the United States, the jet stream usually moves from west to east. We will assume that the jet stream is moving in its usual direction at 9.00 x 101 km/hr. On a particular day, you need to pilot a plane from one city to another that is 4.50 x 102 km directly to the south. The top speed of the aircraft in still air is 285 km/hr. (a) Make a sketch to represent what is happening in this problem. Label all quantities that you know. (b) Using cardinal directions (north, east, south, west) to give a heading, which direction should you aim the plane to reach the city directly to the south at top speed? (c) How fast (in km/hr) would you be moving relative to the ground? (c) How much time (in hr) will it take you to reach your destination?

0 = 30° Vo = 25 m/s H = 200 m dx = ? A plane flying at 25 m/s is diving with an angle of 30° to the horizontal when it drops a package at an altitude of 200 m. a) What is the horizontal displacement of the package when it hits the ground? b) What angle does the package make when it hits the ground?

In fighting forest fires, airplane work in support of ground crews by dropping water on the fires. A pilot is practicing by dropping a canister of red dye, hoping to hit the target on the ground below. If the plane is flying in a horizontal path 120m above the ground and with a speed of 54m/s, a) At what horizontal distance from the target should the pilot release the canister? b) At what time did the canister hit the target from it was released. c) What is the velocity and direction of the canister 3seconds after it was released? Air resistance may be ignored.

The take off speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff? Draw your vectors.