1. Applications of Vectors
Keeper 30
GSE Accelerated Pre-Calculus

2. Example
An airplane is flying with a bearing of S10W at 315 mph. A wind is flowing with the bearing of N56E at 35 mph. a. Find the component form of the velocity of the airplane. b. Find the actual ground speed and bearing of the plane.

3. Gliding
A glider is traveling at an airspeed of 15 miles per hour due west. If the wind is blowing at 5 miles per hour in the direction of N60E, what is the resulting ground speed of the glider?

4. Current Problem
Bob is swimming due west at a rate of 1.5 meters per second. A strong current is flowing S20E at a rate of 1 meter per second. Find Bob’s resulting speed and direction.

5. Force Problems
Step 1: Write each vector in component form Step 2: Set the horizontal components (a) equal to 0. Step 3: Set the vertical components (b) equal to 0. Step 4: Solve by substitution

6. Example
Find the tension in each cable.

7. Example
Find the tension in each rope.

8. Example
Find the forces exerted by the rods.