A plane has a heading relative to the air of speed 121 m/s and direction 23.5°...

A plane has a heading relative to the air of speed 121 m/s and direction 23.5° East of North. The air is moving relative to the ground with wind speed 49 m/s and direction 33.4° North of West.

a) If the plane is flying at an altitude of 5560 m and drops a package directly above a city, what distance away from the city will the package land?

(b) If the plane begins a journey from one city to another located 195 km away in these wind condition, then how far from their destination will the plane be once they have traveled the amount of time it would take to get to the city without wind? Note that the straight path between the cities is the exact heading of the plane relative to the air.

Expert Solution

genius_generous answered 1 year ago

a plane is going East at a speed relative to the air of 160 m/s. a...

a plane is going East at a speed relative to the air of 160 m/s. a 30.0 m/s wind is blowing toward the south while the plane is traveling. The velocity of the plane to a ground observer is:

A plane is maintaining a 270◦ heading at 37◦ N latitude, with an air speed of...

A plane is maintaining a 270◦ heading at 37◦ N latitude, with an air speed of 560 miles per hour. the cruise control is engaged, using a pressure altimeter while over the Ocean. The altimeter is set for a sea level pressure 1010 hPa and keeps an indicated altitude of 38,500 feet. At the start of a 1 hour period the radar altimeter, which provides the actual distance above the surface, shows 35,725 feet. At the end of the 1...

The speed of the two planes is 52.7 m/s, with the first plane travelling at this...

The speed of the two planes is 52.7 m/s, with the first plane travelling at this velocity in the y-direction and the second plane travelling with this speed in the x-direction. The initial separation of the planes is 30.5 m. Find the time at which the separation of the planes is at its minimum.

An inertial reference system S' moves in the x-direction at speed υ relative to reference system...

An inertial reference system S' moves in the x-direction at speed υ relative to reference system S. The axis x’ slides along the x axis. Considering a uniform electric field in the region between the plates of a large parallel plate capacitor moving with S'. Show that the component of electric field E parallel to the motion is unchanged, that is, Ex = Ex’. [

a Ball is thrown upward from the top of a 23.5 m building with a speed...

a Ball is thrown upward from the top of a 23.5 m building with a speed of 12.4 m/s. ignore air resistance A) draw and label a figure with a coordinate system showing the balls initial position and initial velocity. B) write down the proper equations of motion and replace all known initial conditions and constant values with their appropriate numerical values to find the following C)to what maximum height above the ground will the ball rise? D) how much...

A 121-kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with...

A 121-kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with her legs from a 1600-kg space capsule. Use the reference frame in which the capsule is at rest before the push. Part A: What is the velocity of the space capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the velocity is in the direction of...

A sailboat runs before the wind with a constant speed of 3.5 m/s in a direction...

A sailboat runs before the wind with a constant speed of 3.5 m/s in a direction 28 ∘ north of west. You may want to review (Pages 89 - 92) . How far west has the sailboat traveled in 22 min? How far north has the sailboat traveled in 22 min?

IP A soccer ball is kicked with an initial speed of 10.8 m/s in a direction...

IP A soccer ball is kicked with an initial speed of 10.8 m/s in a direction 26.0 ∘ above the horizontal. a) Find the magnitude of its velocity 0.250 s after being kicked. b) Find the direction of its velocity 0.250 s after being kicked. c) Find the magnitude of its velocity 0.500 s after being kicked. d) Find the direction of its velocity 0.500 s after being kicked. e) Is the ball at its greatest height before or after...

An airplane is flying at an air speed of 420 km/h on a heading of 210o....

An airplane is flying at an air speed of 420 km/h on a heading of 210o. A 45 km/h wind is blowing from a bearing of 50o. Determine the bearing and ground velocity of the airplane using geometric vectors. Please include what equation we are trying to solve for, thank you in advance~!

A billiard ball with speed of 3.0 m/s in the positive x direction hits an identical...

A billiard ball with speed of 3.0 m/s in the positive x direction hits an identical second billiard ball that is at rest at the origin. After the collision one of the balls has a momentum with an angle of -24 degrees respect to the positive x axis. The direction of the momentum of the second ball in degrees is:

Question