Homework Questions

Applications Navigation and Force

Navigation Bearing: degrees from N (0°)

Quick Example Bearing of 100° Note: Knots (nautical mph)

Example 1 A boat is traveling 35 knots for 2 hours at a bearing of 53° and then turns and travels 3 hours a ta bearing of 143°. Find the new bearing and the distance traveled.

Example 2 A boat is traveling at 20 knots for 3 hours at 80° and turns and travels 15 knots for 2 hours at 170°. Find the new bearing and distance traveled.

With vectors and Navigation Example 3

Example 4 A plane is flying on a bearing of 300° at 450 mph. Find the component form.

Example 5 A plane is flying due North at 300 mph. There is a wind coming from the NW at 10 mph. What is the ground speed of the plane? (ground speed is magnitude of resultant vector)

Example 6 If the same plane needs to head due north to reach its destination, at what bearing must it set its course?

Example 7 An object weighing 50 lbs lies on an inclined plane that makes a 40 0 angle with the ground. Find the horizontal and vertical force needed to push the object up the incline.

Example 8 Do the same thing when the object weights 200 lbs and the inclined plane makes a 20 0 angle with the ground.

Example 9 One person is pulling on an object at an angle of 60° with a force of 200 newtons. Another person is pulling on the at an angle of 45° with a force of 120 newtons. ◦ A) What is the combined force on the object? ◦ B) At what angle is the object moving?

Example 9 cont… B) At what angle is the object moving?

Homework Pg 434 (17, 18, 25, 26) Pg 512 (30, 32, 41-43, 46, 48)