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43                ARMY AIR FORCES
   
  d. Exercises:
    (1) Tell which of the following are vectors and which are scalars:
    (a) 2 pounds.
    (b) 20 mph east.
    (c) 10 feet/second.
    (d) Acceleration of a falling body.
    (e) A velocity.

    (2) Graph the following:
    (a) 30 mph NW.
    (b) 40 yards/minute north.
    (c) 30 pounds force acting N 10° E.
    (d) 17 pounds force acting S 50° W.
    (e) 99 pounds at 182°.
    (f) 14 mph at 37°.
    (g) 18 feet/second at 282°.

    (3) Add the following Vectors (V1 + V2):
    (a) V1: Length =340   V2: Length =410
            Azimuth=323°      Azimuth=20°
    (b) V1: Length =10    V2: Length =15
            Azimuth=200°      Azimuth=140°
                           Length=22, azimuth=163°
                                              Answer.
    (c) V1: Length =.05   V2: Length =.16
            Azimuth=270°      Azimuth=10°
    (d) V1: Length =12    V2: Length =18
            Azimuth=82°       Azimuth=126°
                           Length=28, azimuth=108°
                                              Answer.
    (e) V1: Length =163   V2: Length =313
            Azimuth=191°      Azimuth=264°
    (f) V1: Length =.5    V2: Length =.73
            Azimuth=0°        Azimuth=180°
                            Length=23, azimuth=180°
                                               Answer.

    (4) A car moves at the rate of 40 mph due north for 
 2 hours, then turns and goes due east for 1 hour. Find 
 by vector diagram how far in a straight line the car 
 is from its starting point. How much time would have 
 been saved by traveling the straight route?
                 89.44;.764 hr or 45.8 min.  Answer.

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