S432 Physics — Vectors Explained!
  1. A boat crosses a lake heading east at a speed at 10 m/s. What is it's resultant velocity if it:
  1. Goes against a 2m/s wind? 10 m/s — 2 m/s = 8 m/s

    2.  

     
     
     

  2. Goes with a 2 m/s wind? 10 m/s + 2 m/s = 12 m/s

    3.  

     
     
     

  3. Encounters a north wind at 2 m/s?
  1. A swimmer starts out at 3 m/s to cross a river that is 60 meters long. If the current is 0.5 m/s:

    2. How long does it take for the swimmer to cross the river?

    How far downstream does the swimmer end up?
     
     

  2. In the following, find either angle or side "X". Show your work.

    3.  

     


     

  3. A plane sets out flying northeast at 30km/h for 3 hours.


    4. How far did the plane go from it's starting point?

    How far north did the plane go?

    How far east did the plane go? 
     

  4. A bird flies southwest with a speed of 16 m/s at an angle of 37° below due west. How fast is the bird flying in a pure southerly direction?
The purple arrow represents the southern component of the velocity.