Applying Vectors in the Plane Quiz

An airplane travels at 300 mph in the direction S 45° E. What is the component form of the velocity vector?

(150√2,-150√2)

An object is pulled up a ramp with a 25° incline. The force required to move the object is 300 pounds. What is the component form of the force vector?

(272, 127)

An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?

323 kph with a directional bearing of S 22° E

A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?

402 mph

On a coordinate plane, a vector on the x-axis goes to terminal point 20 pounds. A vector that is 25 degrees from the x-axis goes to terminal point 25 pounds. Two forces of 25 pounds and 20 pounds act on a body with an angle of 25 degrees between them. What is the magnitude of the resultant force?

43.95 pounds

A plane flies at 350 mph in the direction 40° north of east, with a wind blowing at 40 mph in the 70° south of east. What is the plane's drift angle?

5.89°

An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction S 45° E. What is the plane's ground speed?

658.94 kph

A plane is traveling with an airspeed of 350 mph in the direction N 40° E. Let the plane's ground speed equal x, which is affected by a 50-mph wind blowing directly from the south. Which diagram represents this scenario?

A

Two students are pulling an object with ropes. One student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. What is the direction of the resultant force?

approximately 37.33° above the ground

On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0). A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?

approximately 85 m