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**Need Help with a HW problem if anyone would be so kind!!**

**1. Homework Statement**

John drives 15 km directly west from Orion to Chester at a speed of 97 km/h, then directly south for 7.0 km to Seiling at a speed of 89 km/h, then finally 33 km southeast to Oakwood at a speed of 90 km/h. Assume he travels at constant velocity during each of the three segments.

(a) What was the change in velocity during this trip? [Hint: Do not assume he starts from rest and stops at the end.]

magnitude ___ km/h

direction ____ ° south of east

(b) What was the average acceleration during this trip?

magnitude ____ km/h2

direction ___ ° south of east

**2. Homework Equations**

I honestly don't really know the correct equations. I have tried lots of trig oriented stuff as well as Rx = Ax+Bx+Cx Ry = Ay+By+Cy and R = SQRT (Rx^2 + Ry^2) to find the avg velocity for the trip going from there. Working with three vectors is not something we covered in class at all. I understand that change in velocity is acceleration but im just not sure how to apply it exactly in this case.

**3. The Attempt at a Solution**

I have tried all sorts of ways of setting this problem up and using trig to find the solutions, knowing that the final leg is a 45 degree angle you can create a new triangle with the last leg of the trip as one side, the resultant vector from the firsrt 2 legs of trip as another side, and the hyp would be between the origin and destination. I guess I wrote alot of my attempts at solutions in section 2, my apologies.

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