# Calculating Displacement

Question: In a yacht race the boats sail around three buoys. What is the displacement from the last buoy to the starting point? (a) unit vector notation (b) magnitude and direction?

From the origin to Buoy #1 is R1,

From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1)

From Buoy #2 to Buoy #3 is R3. (120 degrees clockwise from R2)

From starting point origin to Buoy #3 is R4=R1+R2+R3

Note: R3 is actually only 15 west of south.

https://brainmass.com/physics/scalar-and-vector-operations/calculating-displacement-yacht-race-15662

#### Solution Preview

See attachment (pdf) for a diagram.

From the origin to Buoy #1 is R1,

From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1)

From Buoy #2 to Buoy #3 is R3. (120 degrees clockwise from R2)

From starting point origin to Buoy #3 ...

#### Solution Summary

This solution is comprised of a detailed, step-by-step explanation of how to solve for this physics question pertaining to displacement. A diagram is also provided in an attachment PDF file, which will provide further clarification for understanding this problem and the solution.