Vector Assignment

Do FOUR of the following to pass

Do SIX of the following to get an A for this assignment.

For each problem, draw a diagram, and find the information shown.  List  the needed trig function.

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1.  Joyce walks 3 miles E and 4 miles South.   What is her hypoteneuse?  What is the angle?


2.  Curt swims across a wave pool at 2 m/s,  The cross current is at a perpendicular to him at a speed of 1/2 m/s.   Which way will the water take him?  Show an angle and a resulting speed.


3.  An airplane is traveling 300 mi/hr west, and a cross wind is bearing down at 30 mi/hr south.  What angle and resultant speed will result?

4.  Gary pushes down on a lawnmower handle with a speed of 1 m/s, directed at a 45 degree angle.   What is the effective forward speed?


5.  If a soccer player kicks a ball with a speed of 12 m/s at an angle of 140 degrees, what is the east and south component?

6. A golf course hole is 300 yds long, and oriented at a heading of 190 degrees.  What are the south and western components?

7. If a car drives at 55 mi/hr perfectly SW, what is the southern component?  What is the northern component?

8.  A bicyclist travels 30 miles west and 40 miles north.  How far is she from her starting point?  What is her angle of orientation?