9
QuizMultiple Choice
Applying Vectors in the Plane
Question 9 • NC-Math 4 CR
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?
Answer
A
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the y-axis in quadrant 1. Vector x is about 35 degrees from the y-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
B
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the y-axis in quadrant 2. Vector x is about 35 degrees from the y-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
C
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the x-axis in quadrant 2. Vector x is about 45 degrees from the x-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
D
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the x-axis in quadrant 1. Vector x is about 45 degrees from the x-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.