In what direction (relative to east) must the pilot head her plane? Enter the angle in degrees where positive indicates north of east and negative indicates south of east How long does the flight take? h

A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 28.5 m/s. A net is positioned a horizontal distance of 52.5 m from the cannon. At what height above the cannon should the net be placed in order to catch the daredevil? m

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 5.00 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction. What direction should the dolphin head? Enter the angle in degrees where positive indicates south of west and negative indicates north of west.

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 speedboat moves west at 108 km/h for 22.6 min. It then moves at 60.0° south of west at 90.0 km/h for 10.0 min. What is the average speed for the trip? What is the magnitude of average velocity for the trip?

Physics- VectorsSee attached picture for the question.

A Boeing 787 Dreamliner maintains a constant airspeed of 550 miles per hour headed due north. The Jet stream is 100 mph in the northeasterly direction. Find the actual speed and direction of the 787 relative the ground.

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.

Margaret walks to the store using the following path: 0.890 mi west, 0.380 mi north, 0.170 mi east. Assume North to be on the +y-axis and west to be on the -x axis. What is the magnitude of her total displacement?

At what initial speed must the basketball player in the figure throw the ball, at angle 0o = 65° above the horizontal, to make the foul shot? The horizontal distances are d₁ = 1.4 ft and d₂ = 14 ft, and the heights are h₁ = 7.0 ft and h₂ = 10 ft. Number i 25.3 Units ft/s h₂