Name___________________________________
Date_____________
Period___
Scalar and Vector Measurements
For the following problems use the cut-outs of the vectors and use them to model the problems below.
Show all mathematical work involved. Solve for the unknown vector!
1. While practicing for the New York City marathon you are running around your block. From rest,
outside of your home, you sprint 300m west and turn and sprint another 400m north and come
to a stop. What is the resultant vector of your run?
2. You work as a newspaper delivery person to earn some extra cash. Your daily route requires you
to walk 250m south every day to the end of one block. You then must turn and walk an
additional 360m east. What is the resultant vector of your walk?
3. One of your customers on your newspaper route is furious with you. She chases you with a
waffle iron 30m north. You turn and run 40m east. In an attempt to lose her, you mark a sharp
turn and run 30m south, make one last turn around a corner and sprint 40m west. You look over
your shoulder, see that you are safe, and come to a stop. What is the resultant vector?
4. Your resultant vector is 3200m northeast. If you first start out going 450m east, what distance
did you travel east in order to achieve this resultant vector?