You are walking along Main street one afternoon. At 1 PM you are 50 meters east of the intersection of Main and Elm streets. You walk due east for 30 seconds, ending up 80 meters east of the intersection of Main and Elm. You then make a left turn and walk due north for 30 seconds at the same speed. What is the magnitude of your average velocity (not speed), in meters per second, during those 60 seconds?

X = 30m/30s = 1 m/s.

Y = 1 m/s .

tanA = Y/X = 1/1 = 1.
A = 45o = Direction.

V = 1/cos45 = 1.414 m/s[45o].