Pre-Calculus
Unit 11 WS 11-5: Vector Applications
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Pd:
Round all answers to 1 decimal place using a calculator. Draw pictures to help set-up problems!
SHOW all work for credit!
1. Delta Airlines Flight # 666 is a Boeing 474 aircraft descending east toward Chicago O'Hare
airport at a speed of 300 MPH at an angle 15 degrees below the horizontal. Draw a picture and find
the component form of the vector that represents the velocity of the 747.
2. Find the component form of the vector for the velocity of a bullet fired at 9,250 feet/second at
an angle of 35 degrees above the horizontal toward the west.
-1^7-7,2
3. A ship is on course due north at 12 MPH. The current is in the direction of S 45°W at 8 MPH.
What is actual ship's course and speed?
4. An F-4 Navy jet is flying on course N 50 E at a speed of 480 MPH. There is a strong wind 50
MPH blowing in the direction of S 15 W. Draw a picture and find the resultant vector magnitude
(speed) and course.
5-3.-?°e
5. A commercial airplane is flying from Chicago to Phoenix, Arizona on a bearing course of S 55
W. The plane's speed is 240 MPH. There is a constant wind blowing N20° E at 20 MPH. What
bearing (course) and speed in MPH should the plane fly to compensate for the wind and reach
Phoenix. Draw a vector picture.
(0
6. An airplane is flying on course 340 degrees at 325 MPH. The wind is blowing so that the actual
course and speed of the plane are 332 degrees and 306 MPH. Find the actual wind direction
(bearing) and speed.
7. An airplane is flying in the direction of 152 degrees, with and airspeed of 725 mph. Because of
the wind, its actual ground speed is 690 mph and 130 degrees.
Find the direction and speed of the wind.