Posted by Domynique on Tuesday, May 29, 2012 at 8:56pm.
A speedboat heads west at 104 km/h for 24.0 min. It then travels at 64.0° south of west at 109.0 km/h for 13.0 min.
(a) What is the average speed for the trip?
What is the average velocity for the trip?
magnitude
direction

Math needs help  PsyDAG, Tuesday, May 29, 2012 at 9:29pm
Indicate your subject in the "School Subject" box, so those with expertise in the area will respond to the question.

Northern Virginia community college  Reiny, Tuesday, May 29, 2012 at 9:42pm
total distance traveled = (24/60)(104) + (13/60)(109) = 65.216666..
total time = 37 minutes = 37/60 hrs
average speed = 65.21666../(37/60) = 105.8 km/h
for the average velocity, make a vector diagram
I have a triangle ABC with AB = 41.6 , BC = 23.1666..
and angle ABC = 116°
By the cosine law:
AC^2 = AB^2 + BC^2  2(AB)(BC)cos 116°
etc
(I will let you do the arithmetic)
The direction angle would be angle BAC
since you now have all 3 sides of the triangle plus an angle you can find angle BAC by the sine law.
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