Applying Vectors in the Plane — Quiz

Question 1

A boat travels with velocity vector open paren 25 comma 25 square root of 3 close paren What is the directional bearing of the boat?

Revolt · Accepted Answer

cap n 30 degrees cap e

Question 2

Which diagram indicates a bearing of cap s 40 degrees cap e ?

Revolt · Accepted Answer

Image with description On a coordinate plane, vector u goes down and to the right in quadrant 4 and forms angle 40 degrees with the y-axis.

Question 3

An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction cap s 45 degrees cap e What is the plane’s ground speed?

Revolt · Accepted Answer

658 point 9 4 kph

Question 4

An airplane travels at 300 mph in the direction cap s 45 degrees cap e What is the component form of the velocity vector?

Revolt · Accepted Answer

langle 150 square root of 2 comma negative 150 square root of 2 rangle

Question 5

A plane leaves an airport traveling at 400 mph in the direction cap n 45 degrees cap e A wind is blowing at 40 mph in the direction cap n 45 degrees cap w What is the ground speed of the plane?

Revolt · Accepted Answer

402 mph

Question 6

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?

Revolt · Accepted Answer

323 kph with a directional bearing of cap s 22 degrees cap e

Question 7

A plane flies at 350 mph in the direction 40 degrees north of east, with a wind blowing at 40 mph in the direction 30 degrees south of east. What is the plane’s drift angle?

Revolt · Accepted Answer

5.90 degrees

Question 8

A plane is traveling with an airspeed of 350 mph in the direction cap n 40 degrees cap 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?

Revolt · Accepted Answer

Image with description 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.

Question 9

An airplane is traveling with an airspeed of 500 mph in the direction cap n 60 degrees cap e A wind blows directly south at 50 mph. What is the plane’s drift angle?

Revolt · Accepted Answer

5.21 degrees

Question 10

A single-engine plane is flying at 30 mph in the direction cap n 60 degrees cap e A wind is blowing from west to east at 15 mph. Which diagram accurately represents the wind triangle for this plane?

Revolt · Accepted Answer

Image with description On a coordinate plane, a ground vector goes up and to the right. Air vector is higher than the ground vector and forms angle 60 degrees with the y-axis. Wind vector connects the terminal points of the vectors.

Applying Vectors in the Plane — Quiz Answers

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