7.An airplane moving at 127.3 m/s north encounters a headwind moving at 22.9 m/s south. What is the resultant velocity of the airplane? 104 m/s south 150 m/s north 104 m/s north 129 m/s north 10. Why is it helpful to break vectors into their horizontal and vertical components before adding vectors? 3. A surveyor is drawing property lines. He draws one line that is 45.0 meters long, and is 25.5 south of west. How long is the western component of the vector he has drawn? 40.6 m 45.0 m 37.7 m 19.4 m 15. Calvin is flying an airplane. His velocity with respect to the air around him is 78.0 m/s south. The air is also moving with a velocity of 12.4 m/s east. To an observer on the ground, what is the magnitude of Calvin's velocity? 62.7 m/s 87.6 m/s 90.4 m/s 79.0 m/s . Patton launches a water balloon at a speed of 15.8 meters per second in the positive x-direction at an angle of 19.5 o above horizontal. What are the components of the velocity vector right before the balloon strikes the ground? v x = 5.27 m/s, v y = 14.8 m/s v x = 14.8 m/s, v y = 5.27 m/s v x = 5.27 m/s, v y = 14.8 m/s v x = 14.8 m/s, v y = 5.27 m/s 17. During projectile motion, only the vertical velocity vector changes. Why is this the case? Max is golfing and he hits a ball 235 meters 15.9 o west of north. From that location he hits the ball 29.5 meters 41.1 o east of north. What is the final displacement vector for Max's golf ball? 246 m, 29.1 o east of north 252 m, 10.3 o west of north 252 m, 10.3 o north of west 246 m, 29.1 o north of east 21.Two dogs are fighting over a chew toy. One dog pulls the toy with a force of 41 N in the positive x-direction, while the other dog pulls with a force of 32 N in the negative x -direction. What is the net force on the chew toy? 9 N 9 N 73 N 73 N 23. If a weight is launched with an initial velocity of 45.9 meters per second, at an angle of 66.1 o above horizontal, how much time will it take the balloon to reach the ground again? 4.14 s 8.10 s 8.56 s 3.79 s 23. If a weight is launched with an initial velocity of 45.9 meters per second, at an angle of 66.1 o above horizontal, how much time will it take the balloon to reach the ground again? 4.14 s 8.10 s 8.56 s 3.79 s 25. Three people are driving their cars in different directions, in an open field. At one point, while they are all driving, they each measure the other drivers' velocities. When they compare measurements afterward, they notice that they all got different measurements from each other. Why do their measurements not match? 26. Wendy is walking along a trail. The trail heads east for 944 meters before turning south and continuing for 686 meters. At the end of the trail, what is Wendy's displacement vector? 1167 m, 36.0 o south of east 1630 m, 31.5 o north of east 1630 m, 31.5 o east of north 1167 m, 36.0 o east of north 27. Kathleen is rowing her canoe northward with an average force of 19.1 N. The wind is blowing directly south with an average force of 14.4 N. What is the net force on the canoe? 33.5 N south 4.7 N south 4.7 N north 33.5 N north 28. Klaus is riding his bicycle, heading directly north. He bikes north for 3.8 km, then turns west and bikes west for 2.2 km. What is the direction of Klaus' resultant displacement vector? 30 o west of north 27 o west of north 27 o north of west 30 o north of wes