A plane that is capable of travelling at 140 m/s wishes to travel due north from City A to City B, 500 km away, but encounters a constant crosswind that blows 25 m/s due west. What must the plane’s heading be in order to reach its destination? Suppose the pilot has no navigational expertise and decides to aim straight for City B. How far west of City B will the plane end up?

A person is traveling in a plane at 400 miles/hour due east with a strong crosswind blowing from north to south at 200 miles/hour. A) What is the velocity and direction angle of the plane in the crosswind? B) What is the total distance traveled by the airplane in one hour?

A small boat sailed straight north out of a harbor in strong east wind (blowing from west to east). After sailing for 120 minutes, it ended up hitting a buoy 60° to the north-east of the harbor. If the straight-line distance between the buoy and the harbor is 3 km, what is the speed of the east wind? Pick the correct answer O O O O 13. m/s 0.42 m/s 0.50 m/s 0.21 m/s 0.36 m/s East Wind ttt Harbor

A pilot is in his plane with the intention of flying to Nunavut. From the current location, Nunavut is [N 9.0W]. The flight tracker estimates the distance from Toronto to Nunavut is approximate 3.0x103km. The plane hasthe capability to fly at an airspeed of 890 km/hr. The pilot aims the plane at a heading [N], and lands in Nunavutdirectly. If the flight takes 3.33 hrs to complete: a. What is the velocity of the plane relative to the Earth? b. What was the wind velocity present on that day?

A plane is capable of flying 180 km/h in still air. The pilot, takes off from an airfield and heads due north according to the plane's compass. After 30 minutes of flight time, Captain notices that, due to the wind, the plane has actually travelled 80 km at an angle of N5°E. (You may assume that the wind velocity remains constant through the entire question.) a) What is the wind velocity? b) In what direction should the pilot have headed to reach the intended destination (due North) ○ ) If the original destination was 300km due N from her original starting point, what heading should Captain take now to adjust for the oversight and reach her destination? d) How much time did Captain waste because of this oversight?

A stunt car leaves a 15° upward ramp at 35. The car jumps over a ravine and lands on the other side at 5 m S below the height from which it was launched. a) What is the maximum width of the ravine? (Answer: 77.5 m) b) What is the impact velocity of the car in magnitude and angle? (Answer: 36@21° below x)

use proper vector notations.

A stunt car traveling at 25 m/s flies horizontally off a cliff and lands 65.8 m from the base of the cliff. a) Sketch the scenario. b) Determine how tall is the cliff?

An airplane heads northeast at an airspeed of 700 km/hr, but there is a wind blowing from the west at 30 km/hr. In what direction does the plane end up flying? Give the angle relative to north and to one decimal place. degrees What is its speed relative to the ground? Round your answer to nearest integer. km/hr

A small ship capable of making a speed of 6.5 knots through still water maintains a heading due east while being set to the south by an ocean current. The actual course of the boat is from A to B, a distance of 8.3 nautical miles that requires exactly 1.6 hours. Determine the speed v. of the current and its direction 0 measured clockwise from the north. N(0°) A -E(90°) 11 Answers: Vc = i knots i