City A lies 30 km directly south of city B. A bus, beginning at city A travels 50 km at 37° north of east to reach city C. How far and in what direction must the bus go from city C to reach city B? A A) 20 km, east B B) 40 km, east C C) 20 km, west D D) 40 km, west

You pilot an airplane with the intent to fly 399 km in a direction 51.0 ° south of east from the starting airport. Air traffic control requires you to first fly due south for 81.5 km A) After completing the 81.5-km flight due south, how far are you from your destination? B) In what direction should you point your airplane to complete the trip? Give your answer as an angle relative to due  C) your airplane has an average ground speed of 477 km/h, what estimated time of travel should you give to your passengers after completing the initial 81.5 km south?   Plz include units.

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The magnitude V1 is 6.2 and it points along the negative x axis, while the magnitude V2 is 8.0 and it points at 40 degrees counter clockwise from the positive x axis.  A. What are the x and y components of vector V1? B. What are the X and Y components of vector V2? C. Determine magnitude of the sum V1+V2 D. Determine the angle of the sum V1+V2, measured counter clockwise from the positive x axis.

An airplane is flying in the direction of 30° west of north. Windis blowing at 40 miles per hour from the south.a) What is the projection of the wind vector in the direction the airplaneis headed?b) What is the projection of the wind vector in the directionperpendicular to the direction the airplane is headed?

1A) Saanich is walking around the campus. Saanich walks 2.4 km north. Saanich then makes a left turn and walks 1.45 km west. Finally, Saanich makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of Saanich from the starting point? a) 3.9 km, 24° north of west b)5.3 km, 59° north of west c) no answer is correct d)3.9 km, 66° north of west e)5.3 km, 70° north of west   1B) Saanich drives a car of mass 1800 kg on the Ford Test Track. If the initial speed of the car is 32m/s and the track can be approximated as a circle of radius 25 m, what is the average velocity Saanich would be travelling at during a single revolution? a) 100 m/s b) zero m/s c) 44 m/s d) 26 m/s e) 32 m/s   1C) Saanich is participating in a physics lab. He fires a projectile at an angle of 47.0° off of a desk. If Saanich shoots the projectile at a speed of 25 m/s, how long does it take the projectile to reach its highest point? a) 1.7 s b) 2.9 s c) 1.9 s d) 9.8 s e)1.5 s

A plane flies in two straight-line segments. On the first segment it flies 250 km at an angle of 30 south of west. Then it flies 125 km at an angle of 20 east of south on the second segment. Find the magnitude and direction of the resulting (overall) displacement of the plane  by graphically drawing the displacement vectors and  by calculating the resultant using components

Write only the letter of the correct answer. From her house, Miya walks 30 m at E30°N. She then turns 50° on a clockwise direction and continues walking for 40m. She turned again at an angle of 80° clockwise and walked 60m. From her final position, if there is a way that Miya can walk straight to her house, how far will she walk? a) 70.85m b) 75.80m c) 78.50m d) 85.50m Your answer

a. The two parallel lines (1, m) drawn below ate intersected by a third line. If angle 1 is 20 degrees, what are the values of the other angles 2, 3, 4, 5, 6, 7? 4 7/2 5 6 b. Given the geometry shown below, what is the value of the angle a? α 35° 00