A pilot wants to fly north. The plane has an air speed of 350 km/h. There is a 50 km/h wind blowing to the west. a. What direction does the plane need to head? [E82°N] b. What is the plane’s velocity relative to the ground? [346 km/h [N]]

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In the above drawing, a football is kicked from the ground with a velocity v at an angle θ andfollows the path indicated through the air. 2. The horizontal component of the velocity at the moment the ball is kicked isa. vb. v cos θc. v sin θd. zeroe. 9.8

2. An airplane flying N30° W at 150 km/h encounters a wind blowing E5 N at 40 km/h. Determine the resultant ground velocity of the plane. Include a vector diagram in your solution.

1. An ant travels 2.78 cm [W] and then turns and travels 6.25 cm [S 40° E]. What is the ant's total displacement? ™T [ans: 4.94 cm [E 76° S]]

A boy, who can swim at 2.5km/h in still water, wants toswim directly across a riverand land directly North of their starting point.The current in the river of 2.0 km/h [W].a. What direction must the swimmerhead? [E37°N]b. If the river is 150 m wide, how long willit take them to cross the river? [0.10 h]

Q1. An archer aims at the bullseye of a target 50.0 m away. The arrow is at the same height as the bullseye. If the archer angles the arrow upwards at 12°, what must the arrow's initial speed be in order to hit the bullseye?

3. A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 14 m/sm/s . A wise elder duck finally realizes that the solution is to fly at an angle to the wind.   If the ducks can fly at 15 m/s relative to the air, in what direction should they head in order to move directly south?   Please answer in degrees west of south

An airplane has an air speed of 267 miles per hour and a compass heading of 140°. A steady wind of 54 miles per hour is blowing in the direction of 183°. What is the plane's true speed relative to the ground? What is its compass heading relative to the ground? W. 270° ... The groundspeed is miles per hour. (Round to the nearest integer as needed.) 270 240 300 320 072 N, 0° 340 1 opz 081 091 S, 180° 09 90 1 100 120 140 E, 90°

15.A crosswind affects the motion of an airplane. Plane (P) is pointed north but Air (A) blows east. (a) Find resultant velocity relative to earth VP/E and Angle a. (b) In which direction and at what speed plane should move to head due north.