A plane navigator plans to fly to a location 1200km away in direction 30o east of north. The weather office informs the navigator that a wind is blowing to the east at a speed of 80km/h. The airspeed of the plane is 300km/h a) What heading should the navigator give to the pilot? b) How much time will the flight take?

A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.

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 dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 5.20 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction.  A) What direction should the dolphin head? Enter the angle in degrees where positive indicates south of west and negative indicates north of west. (in degrees) B) How long does it take for the dolphin to swim the 0.800-km distance home? (In min)

An arrow has an initial velocity of 32 m/s, 30° to the horizontal. a) Find the time it takes for the arrow to reach the ground if it is shot from an original height of 22 m. (G.R.A.S.S.) b) What is the horizontal displacement of the arrow in this amount of time? (G.R.A.S.S)

A swimmer wants to cross a river that is flowing east at 0.95 m/s . To do so, the swimmer points  33.0o north of west. How fast must they swim relative to the water so that they swim directly north across the river? Give your answer in meters per second to two decimal places

A plane is headed due west with an air speed of 207 m/s. The wind blows south at 20.0 m/s. Find the velocity of the plane relative to the earth.To solve this problem it will be necessary to determine the plane's velocity relative to the the air. What is the plane's east-west velocity relative to the air? (Define the positive direction to be east.)Additionally, to solve this problem it will be necessary to determine the air's velocity relative to the earth. What is the air's north-south velocity relative to the earth? (Define the positive direction to be north.)

A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 53.0° above the horizontal. How long, in seconds, is the football in the air before it hits the ground? Ignore air resistance. S

An arrow is launched from ground level, with an initial speed of 27.2 m/s at an angle of 31.4° above the horizontal. Neglect air resistance, and take upward as the positive direction. a) How much time is needed for the arrow to reach its maximum height, b) what is this maximum heightc) how long does it take to land on the ground againd) how far does it travel right before it lands.

A boat heads in the direction N72° E. The speed of the boat relative to the water is 24 mph. The water is flowing directly south. It is observed that the true direction of the boat is directly east. A) Express the velocity of the boat relative to the water as a vector in component form. B) Find the true speed of the water. C) Find the true speed of the boat.