1. The Long John Silver Solution (the easy  way)B E C A D

2. Step #1: Need to go 30 right and 100 up to get from A to B.
1/2 of this is 15 right and 50 up.
Since you start at A(30, -20), then you finish at W(45, 30).
Step #2: Need to go 55 left and 40 down to get from W to C.
1/3 of this is left and down.
Since you start at W(45, 30), then you finish at X(26.66, 16.66).
Step #3: Need to go right and down to get from X to D.
1/4 of this is 3.33 right and down.
Since you start at X(26.66, 16.66), then you finish at Y(30, 5).
Step #4: Need to go 100 left and 55 up to get from Y to E.
1/5 of this 20 left and 11 up.
Since you start at Y(30, 5), then you finish at Z(10, 16).

3. The Long John Silver Solution (the physics way)B E C A D

4. Step #2: Move toward tree C, covering 1/3 the distance.
Step #1: Start at tree A and move toward tree B, covering only 1/2 the distance.
G: the origin
First, find the position of B relative to A.
rBA = rBG + rGA = rBG - rAG = (60 i + 80j) - ( 30 i – 20 j) = 30 i + 100j
(1/2) * rBA = 15 i + 50j
rS1G = position at the end of step #1 = rAG + (15 i + 50 j) = 45 i j
Step #2: Move toward tree C, covering 1/3 the distance.
First, find the position of C relative to rS1G.
rCS1 = rCG + rGS1 = rCG – rS1G = (-10 i j) - ( 45 i + 30 j) = -55 i – 40 j
(1/3) * rCS1 = i j
rS2G = position at the end of step #2 = rS1G + ( i j) = i j

5. Step #3: Move toward tree D, covering 1/4 the distance.
First, find the position of C relative to rS2G.
rDS2 = rDG + rGS2 = rDG – rS2G = (40 i j) – ( i j) = i – j
(1/4) * rDS2 = i j
rS3G = position at the end of step #3 = rS2G + ( i j) = 30 i + 5 j
Step #4: Move toward tree D, covering 1/5 the distance.
First, find the position of E relative to rS3G.
rES3 = rEG + rGS3 = rEG – rS3G = (-70 i + 60j) - ( 30 i + 5 j) = -100 i + 55 j
(1/5) * rES3 = -20 i j
rS2G = position at the end of step #1 = rS1G + (-20 i j) = 10 i j
Dig here!!!

6. Problem #61 Solution ? = 106.26o + = 5 5 3 3 6 a q
These two x-components must cancel each other out
sinq = 3/5  q = sin-1(3/5)=36.87o (notice that a equals the same value) ?
? = o
36.87
36.87