# Physics

An aircraft has a cruising speed of 100 m/s On a particular day, a wind is blowing from the west at 75.0 m/s
If the plane is pointed due north, what would be the magnitude and direction of the velocity relative to the ground?
If the pilot wishes to have a resultant direction of due north, in what direction should the plane be pointed?

1. 👍 0
2. 👎 0
3. 👁 124
1. X = 75 m/s.
Y = 100 m/s.

Q1. tan A = Y/X = 100/75 = 1.33333
A = 53.1o

V=Y/sin A = 100/sin53.1 = 125.0N.[53.1o]

Q2. Direction = 90o-53.1o=36.9o W of N.

1. 👍 0
2. 👎 0
posted by Henry

## Similar Questions

1. ### trigonometry

An airbus A320 aircraft is cruising at an altitude of 10000 m. The aircraft is flying in a straight line away from Rachel, who is standing on the ground. If she sees the angle of elevation of the aircraft change from 70 degrees to

asked by ann on January 20, 2010
2. ### physics

The pilot of an aircraft wishes to fly due west in a 46.8 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 204 km/h. (a) In what direction should the aircraft head? ° north of west (b)

asked by Anonymous on December 13, 2012
3. ### calculus

A small aircraft, on a heading of 225 degrees, is cruising at 150 km/h. It is encountering a wind blowing from a bearing of 315 degrees at 35 km/h. Determine the aircraft's ground velocity.

asked by A on May 2, 2010
4. ### Algebra

A plane has a cruising speed of 100 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.

asked by Teneva on May 31, 2015
5. ### math

The average airspeed of a single-engine aircraft is 150 milesper hour. If the aircraft flew the same distance in two hours with the wind as it flew in 3 hours against the wind, what was the effect of the wind on the plane? What

asked by lea on March 14, 2012
6. ### physics

The pilot of an aircraft wishes to fly due west in a 42.7 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 204 km/h.

asked by bob on September 23, 2012
7. ### Physics

A small aircraft A is about to land with an airspeed of 80 mi/hr. If the aircraft is encountering a steady side wind of speed 10 mi/hr, what angle (alpha) should the pilot direct the aircraft so the the absolute velocity is

8. ### Physics

A pilot points his aircraft due easy, while wind blows from the south. If the resultant velocity of the aircraft is 44m/s 22 degrees [n] of [e], at what speed does the wind blow?

asked by Sandara on October 4, 2014
9. ### Physics

The pilot of an aircraft wishes to fly due west in a 50.0 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 228 km/h. a) How many degrees from west should the aircraft head? Let clockwise be

asked by Steven on October 15, 2014
10. ### Physics

The pilot of an aircraft wishes to ﬂy due west in a 52.6 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 154 km/h. A.) How many degrees from west should the aircraft head? Let clockwise

asked by Sam on November 8, 2012

More Similar Questions