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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